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tphols-2011/generated/Myhill.tex
author zhang
Tue, 25 Jan 2011 12:14:31 +0000
changeset 31 b6815473ee2e
parent 30 f5db9e08effc
permissions -rw-r--r--
1. Myhill.thy is proved to correct some typos. 2. Some sections are added to the first direction. 3. The small theory of list difference is now separated into Prefix_subtract.thy and the ROOT.ML
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
30
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
     1
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
     2
 
\begin{isabellebody}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
     3
 
\def\isabellecontext{Myhill}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
     4
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
     5
 
\isadelimtheory
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
     6
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
     7
 
\endisadelimtheory
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
     8
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
     9
 
\isatagtheory
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    10
 
\isacommand{theory}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    11
 
\ Myhill\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    12
 
\ \ \isakeyword{imports}\ Main\ List{\isacharunderscore}Prefix\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    13
 
\isakeyword{begin}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    14
 
\endisatagtheory
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    15
 
{\isafoldtheory}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    16
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    17
 
\isadelimtheory
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    18
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    19
 
\endisadelimtheory
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    20
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    21
 
\isamarkupsection{Preliminary definitions%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    22
 
}
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    23
 
\isamarkuptrue%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    24
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    25
 
\begin{isamarkuptext}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    26
 
Sequential composition of two languages \isa{L{\isadigit{1}}} and \isa{L{\isadigit{2}}}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    27
 
\end{isamarkuptext}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    28
 
\isamarkuptrue%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    29
 
\isacommand{definition}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    30
 
\ Seq\ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}string\ set\ {\isasymRightarrow}\ string\ set\ {\isasymRightarrow}\ string\ set{\isachardoublequoteclose}\ {\isacharparenleft}{\isachardoublequoteopen}{\isacharunderscore}\ {\isacharsemicolon}{\isacharsemicolon}\ {\isacharunderscore}{\isachardoublequoteclose}\ {\isacharbrackleft}{\isadigit{1}}{\isadigit{0}}{\isadigit{0}}{\isacharcomma}{\isadigit{1}}{\isadigit{0}}{\isadigit{0}}{\isacharbrackright}\ {\isadigit{1}}{\isadigit{0}}{\isadigit{0}}{\isacharparenright}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    31
 
\isakeyword{where}\ \isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    32
 
\ \ {\isachardoublequoteopen}L{\isadigit{1}}\ {\isacharsemicolon}{\isacharsemicolon}\ L{\isadigit{2}}\ {\isacharequal}\ {\isacharbraceleft}s{\isadigit{1}}\ {\isacharat}\ s{\isadigit{2}}\ {\isacharbar}\ s{\isadigit{1}}\ s{\isadigit{2}}{\isachardot}\ s{\isadigit{1}}\ {\isasymin}\ L{\isadigit{1}}\ {\isasymand}\ s{\isadigit{2}}\ {\isasymin}\ L{\isadigit{2}}{\isacharbraceright}{\isachardoublequoteclose}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    33
 
\begin{isamarkuptext}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    34
 
Transitive closure of language \isa{L}.%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    35
 
\end{isamarkuptext}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    36
 
\isamarkuptrue%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    37
 
\isacommand{inductive{\isacharunderscore}set}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    38
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    39
 
\ \ Star\ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}string\ set\ {\isasymRightarrow}\ string\ set{\isachardoublequoteclose}\ {\isacharparenleft}{\isachardoublequoteopen}{\isacharunderscore}{\isasymstar}{\isachardoublequoteclose}\ {\isacharbrackleft}{\isadigit{1}}{\isadigit{0}}{\isadigit{1}}{\isacharbrackright}\ {\isadigit{1}}{\isadigit{0}}{\isadigit{2}}{\isacharparenright}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    40
 
\ \ \isakeyword{for}\ L\ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}string\ set{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    41
 
\isakeyword{where}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    42
 
\ \ start{\isacharbrackleft}intro{\isacharbrackright}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharbrackleft}{\isacharbrackright}\ {\isasymin}\ L{\isasymstar}{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    43
 
{\isacharbar}\ step{\isacharbrackleft}intro{\isacharbrackright}{\isacharcolon}\ \ {\isachardoublequoteopen}{\isasymlbrakk}s{\isadigit{1}}\ {\isasymin}\ L{\isacharsemicolon}\ s{\isadigit{2}}\ {\isasymin}\ L{\isasymstar}{\isasymrbrakk}\ {\isasymLongrightarrow}\ s{\isadigit{1}}{\isacharat}s{\isadigit{2}}\ {\isasymin}\ L{\isasymstar}{\isachardoublequoteclose}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    44
 
\begin{isamarkuptext}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    45
 
Some properties of operator \isa{{\isacharsemicolon}{\isacharsemicolon}}.%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    46
 
\end{isamarkuptext}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    47
 
\isamarkuptrue%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    48
 
\isacommand{lemma}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    49
 
\ seq{\isacharunderscore}union{\isacharunderscore}distrib{\isacharcolon}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    50
 
\ \ {\isachardoublequoteopen}{\isacharparenleft}A\ {\isasymunion}\ B{\isacharparenright}\ {\isacharsemicolon}{\isacharsemicolon}\ C\ {\isacharequal}\ {\isacharparenleft}A\ {\isacharsemicolon}{\isacharsemicolon}\ C{\isacharparenright}\ {\isasymunion}\ {\isacharparenleft}B\ {\isacharsemicolon}{\isacharsemicolon}\ C{\isacharparenright}{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    51
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    52
 
\isadelimproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    53
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    54
 
\endisadelimproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    55
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    56
 
\isatagproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    57
 
\isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    58
 
\ {\isacharparenleft}auto\ simp{\isacharcolon}Seq{\isacharunderscore}def{\isacharparenright}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    59
 
\endisatagproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    60
 
{\isafoldproof}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    61
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    62
 
\isadelimproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    63
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    64
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    65
 
\endisadelimproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    66
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    67
 
\isacommand{lemma}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    68
 
\ seq{\isacharunderscore}intro{\isacharcolon}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    69
 
\ \ {\isachardoublequoteopen}{\isasymlbrakk}x\ {\isasymin}\ A{\isacharsemicolon}\ y\ {\isasymin}\ B{\isasymrbrakk}\ {\isasymLongrightarrow}\ x\ {\isacharat}\ y\ {\isasymin}\ A\ {\isacharsemicolon}{\isacharsemicolon}\ B\ {\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    70
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    71
 
\isadelimproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    72
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    73
 
\endisadelimproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    74
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    75
 
\isatagproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    76
 
\isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    77
 
\ {\isacharparenleft}auto\ simp{\isacharcolon}Seq{\isacharunderscore}def{\isacharparenright}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    78
 
\endisatagproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    79
 
{\isafoldproof}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    80
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    81
 
\isadelimproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    82
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    83
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    84
 
\endisadelimproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    85
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    86
 
\isacommand{lemma}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    87
 
\ seq{\isacharunderscore}assoc{\isacharcolon}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    88
 
\ \ {\isachardoublequoteopen}{\isacharparenleft}A\ {\isacharsemicolon}{\isacharsemicolon}\ B{\isacharparenright}\ {\isacharsemicolon}{\isacharsemicolon}\ C\ {\isacharequal}\ A\ {\isacharsemicolon}{\isacharsemicolon}\ {\isacharparenleft}B\ {\isacharsemicolon}{\isacharsemicolon}\ C{\isacharparenright}{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    89
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    90
 
\isadelimproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    91
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    92
 
\endisadelimproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    93
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    94
 
\isatagproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    95
 
\isacommand{apply}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    96
 
{\isacharparenleft}auto\ simp{\isacharcolon}Seq{\isacharunderscore}def{\isacharparenright}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    97
 
\isacommand{apply}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    98
 
\ blast\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
    99
 
\isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   100
 
\ {\isacharparenleft}metis\ append{\isacharunderscore}assoc{\isacharparenright}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   101
 
\endisatagproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   102
 
{\isafoldproof}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   103
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   104
 
\isadelimproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   105
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   106
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   107
 
\endisadelimproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   108
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   109
 
\isacommand{lemma}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   110
 
\ star{\isacharunderscore}intro{\isadigit{1}}{\isacharbrackleft}rule{\isacharunderscore}format{\isacharbrackright}{\isacharcolon}\ {\isachardoublequoteopen}x\ {\isasymin}\ lang{\isasymstar}\ {\isasymLongrightarrow}\ {\isasymforall}\ y{\isachardot}\ y\ {\isasymin}\ lang{\isasymstar}\ {\isasymlongrightarrow}\ x\ {\isacharat}\ y\ {\isasymin}\ lang{\isasymstar}{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   111
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   112
 
\isadelimproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   113
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   114
 
\endisadelimproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   115
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   116
 
\isatagproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   117
 
\isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   118
 
\ {\isacharparenleft}erule\ Star{\isachardot}induct{\isacharcomma}\ auto{\isacharparenright}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   119
 
\endisatagproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   120
 
{\isafoldproof}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   121
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   122
 
\isadelimproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   123
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   124
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   125
 
\endisadelimproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   126
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   127
 
\isacommand{lemma}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   128
 
\ star{\isacharunderscore}intro{\isadigit{2}}{\isacharcolon}\ {\isachardoublequoteopen}y\ {\isasymin}\ lang\ {\isasymLongrightarrow}\ y\ {\isasymin}\ lang{\isasymstar}{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   129
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   130
 
\isadelimproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   131
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   132
 
\endisadelimproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   133
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   134
 
\isatagproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   135
 
\isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   136
 
\ {\isacharparenleft}drule\ step{\isacharbrackleft}of\ y\ lang\ {\isachardoublequoteopen}{\isacharbrackleft}{\isacharbrackright}{\isachardoublequoteclose}{\isacharbrackright}{\isacharcomma}\ auto\ simp{\isacharcolon}start{\isacharparenright}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   137
 
\endisatagproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   138
 
{\isafoldproof}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   139
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   140
 
\isadelimproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   141
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   142
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   143
 
\endisadelimproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   144
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   145
 
\isacommand{lemma}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   146
 
\ star{\isacharunderscore}intro{\isadigit{3}}{\isacharbrackleft}rule{\isacharunderscore}format{\isacharbrackright}{\isacharcolon}\ \isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   147
 
\ \ {\isachardoublequoteopen}x\ {\isasymin}\ lang{\isasymstar}\ {\isasymLongrightarrow}\ {\isasymforall}y\ {\isachardot}\ y\ {\isasymin}\ lang\ {\isasymlongrightarrow}\ x\ {\isacharat}\ y\ {\isasymin}\ lang{\isasymstar}{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   148
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   149
 
\isadelimproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   150
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   151
 
\endisadelimproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   152
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   153
 
\isatagproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   154
 
\isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   155
 
\ {\isacharparenleft}erule\ Star{\isachardot}induct{\isacharcomma}\ auto\ intro{\isacharcolon}star{\isacharunderscore}intro{\isadigit{2}}{\isacharparenright}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   156
 
\endisatagproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   157
 
{\isafoldproof}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   158
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   159
 
\isadelimproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   160
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   161
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   162
 
\endisadelimproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   163
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   164
 
\isacommand{lemma}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   165
 
\ star{\isacharunderscore}decom{\isacharcolon}\ \isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   166
 
\ \ {\isachardoublequoteopen}{\isasymlbrakk}x\ {\isasymin}\ lang{\isasymstar}{\isacharsemicolon}\ x\ {\isasymnoteq}\ {\isacharbrackleft}{\isacharbrackright}{\isasymrbrakk}\ {\isasymLongrightarrow}{\isacharparenleft}{\isasymexists}\ a\ b{\isachardot}\ x\ {\isacharequal}\ a\ {\isacharat}\ b\ {\isasymand}\ a\ {\isasymnoteq}\ {\isacharbrackleft}{\isacharbrackright}\ {\isasymand}\ a\ {\isasymin}\ lang\ {\isasymand}\ b\ {\isasymin}\ lang{\isasymstar}{\isacharparenright}{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   167
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   168
 
\isadelimproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   169
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   170
 
\endisadelimproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   171
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   172
 
\isatagproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   173
 
\isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   174
 
\ {\isacharparenleft}induct\ x\ rule{\isacharcolon}\ Star{\isachardot}induct{\isacharcomma}\ simp{\isacharcomma}\ blast{\isacharparenright}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   175
 
\endisatagproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   176
 
{\isafoldproof}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   177
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   178
 
\isadelimproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   179
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   180
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   181
 
\endisadelimproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   182
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   183
 
\isacommand{lemma}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   184
 
\ star{\isacharunderscore}decom{\isacharprime}{\isacharcolon}\ \isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   185
 
\ \ {\isachardoublequoteopen}{\isasymlbrakk}x\ {\isasymin}\ lang{\isasymstar}{\isacharsemicolon}\ x\ {\isasymnoteq}\ {\isacharbrackleft}{\isacharbrackright}{\isasymrbrakk}\ {\isasymLongrightarrow}\ {\isasymexists}a\ b{\isachardot}\ x\ {\isacharequal}\ a\ {\isacharat}\ b\ {\isasymand}\ a\ {\isasymin}\ lang{\isasymstar}\ {\isasymand}\ b\ {\isasymin}\ lang{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   186
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   187
 
\isadelimproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   188
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   189
 
\endisadelimproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   190
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   191
 
\isatagproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   192
 
\isacommand{apply}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   193
 
\ {\isacharparenleft}induct\ x\ rule{\isacharcolon}Star{\isachardot}induct{\isacharcomma}\ simp{\isacharparenright}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   194
 
\isacommand{apply}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   195
 
\ {\isacharparenleft}case{\isacharunderscore}tac\ {\isachardoublequoteopen}s{\isadigit{2}}\ {\isacharequal}\ {\isacharbrackleft}{\isacharbrackright}{\isachardoublequoteclose}{\isacharparenright}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   196
 
\isacommand{apply}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   197
 
\ {\isacharparenleft}rule{\isacharunderscore}tac\ x\ {\isacharequal}\ {\isachardoublequoteopen}{\isacharbrackleft}{\isacharbrackright}{\isachardoublequoteclose}\ \isakeyword{in}\ exI{\isacharcomma}\ rule{\isacharunderscore}tac\ x\ {\isacharequal}\ s{\isadigit{1}}\ \isakeyword{in}\ exI{\isacharcomma}\ simp\ add{\isacharcolon}start{\isacharparenright}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   198
 
\isacommand{apply}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   199
 
\ {\isacharparenleft}simp{\isacharcomma}\ {\isacharparenleft}erule\ exE{\isacharbar}\ erule\ conjE{\isacharparenright}{\isacharplus}{\isacharparenright}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   200
 
\isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   201
 
\ {\isacharparenleft}rule{\isacharunderscore}tac\ x\ {\isacharequal}\ {\isachardoublequoteopen}s{\isadigit{1}}\ {\isacharat}\ a{\isachardoublequoteclose}\ \isakeyword{in}\ exI{\isacharcomma}\ rule{\isacharunderscore}tac\ x\ {\isacharequal}\ b\ \isakeyword{in}\ exI{\isacharcomma}\ simp\ add{\isacharcolon}step{\isacharparenright}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   202
 
\endisatagproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   203
 
{\isafoldproof}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   204
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   205
 
\isadelimproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   206
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   207
 
\endisadelimproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   208
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   209
 
\begin{isamarkuptext}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   210
 
Ardens lemma expressed at the level of language, rather than the level of regular expression.%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   211
 
\end{isamarkuptext}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   212
 
\isamarkuptrue%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   213
 
\isacommand{theorem}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   214
 
\ ardens{\isacharunderscore}revised{\isacharcolon}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   215
 
\ \ \isakeyword{assumes}\ nemp{\isacharcolon}\ {\isachardoublequoteopen}{\isacharbrackleft}{\isacharbrackright}\ {\isasymnotin}\ A{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   216
 
\ \ \isakeyword{shows}\ {\isachardoublequoteopen}{\isacharparenleft}X\ {\isacharequal}\ X\ {\isacharsemicolon}{\isacharsemicolon}\ A\ {\isasymunion}\ B{\isacharparenright}\ {\isasymlongleftrightarrow}\ {\isacharparenleft}X\ {\isacharequal}\ B\ {\isacharsemicolon}{\isacharsemicolon}\ A{\isasymstar}{\isacharparenright}{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   217
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   218
 
\isadelimproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   219
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   220
 
\endisadelimproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   221
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   222
 
\isatagproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   223
 
\isacommand{proof}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   224
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   225
 
\ \ \isacommand{assume}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   226
 
\ eq{\isacharcolon}\ {\isachardoublequoteopen}X\ {\isacharequal}\ B\ {\isacharsemicolon}{\isacharsemicolon}\ A{\isasymstar}{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   227
 
\ \ \isacommand{have}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   228
 
\ {\isachardoublequoteopen}A{\isasymstar}\ {\isacharequal}\ \ {\isacharbraceleft}{\isacharbrackleft}{\isacharbrackright}{\isacharbraceright}\ {\isasymunion}\ A{\isasymstar}\ {\isacharsemicolon}{\isacharsemicolon}\ A{\isachardoublequoteclose}\ \isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   229
 
\ \ \ \ \isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   230
 
\ {\isacharparenleft}auto\ simp{\isacharcolon}Seq{\isacharunderscore}def\ star{\isacharunderscore}intro{\isadigit{3}}\ star{\isacharunderscore}decom{\isacharprime}{\isacharparenright}\ \ \isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   231
 
\ \ \isacommand{then}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   232
 
\ \isacommand{have}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   233
 
\ {\isachardoublequoteopen}B\ {\isacharsemicolon}{\isacharsemicolon}\ A{\isasymstar}\ {\isacharequal}\ B\ {\isacharsemicolon}{\isacharsemicolon}\ {\isacharparenleft}{\isacharbraceleft}{\isacharbrackleft}{\isacharbrackright}{\isacharbraceright}\ {\isasymunion}\ A{\isasymstar}\ {\isacharsemicolon}{\isacharsemicolon}\ A{\isacharparenright}{\isachardoublequoteclose}\ \isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   234
 
\ \ \ \ \isacommand{unfolding}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   235
 
\ Seq{\isacharunderscore}def\ \isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   236
 
\ simp\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   237
 
\ \ \isacommand{also}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   238
 
\ \isacommand{have}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   239
 
\ {\isachardoublequoteopen}{\isasymdots}\ {\isacharequal}\ B\ {\isasymunion}\ B\ {\isacharsemicolon}{\isacharsemicolon}\ {\isacharparenleft}A{\isasymstar}\ {\isacharsemicolon}{\isacharsemicolon}\ A{\isacharparenright}{\isachardoublequoteclose}\ \ \isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   240
 
\ \ \ \ \isacommand{unfolding}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   241
 
\ Seq{\isacharunderscore}def\ \isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   242
 
\ auto\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   243
 
\ \ \isacommand{also}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   244
 
\ \isacommand{have}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   245
 
\ {\isachardoublequoteopen}{\isasymdots}\ {\isacharequal}\ B\ {\isasymunion}\ {\isacharparenleft}B\ {\isacharsemicolon}{\isacharsemicolon}\ A{\isasymstar}{\isacharparenright}\ {\isacharsemicolon}{\isacharsemicolon}\ A{\isachardoublequoteclose}\ \isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   246
 
\ \ \ \ \isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   247
 
\ {\isacharparenleft}simp\ only{\isacharcolon}seq{\isacharunderscore}assoc{\isacharparenright}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   248
 
\ \ \isacommand{finally}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   249
 
\ \isacommand{show}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   250
 
\ {\isachardoublequoteopen}X\ {\isacharequal}\ X\ {\isacharsemicolon}{\isacharsemicolon}\ A\ {\isasymunion}\ B{\isachardoublequoteclose}\ \isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   251
 
\ \ \ \ \isacommand{using}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   252
 
\ eq\ \isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   253
 
\ blast\ \isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   254
 
\isacommand{next}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   255
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   256
 
\ \ \isacommand{assume}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   257
 
\ eq{\isacharprime}{\isacharcolon}\ {\isachardoublequoteopen}X\ {\isacharequal}\ X\ {\isacharsemicolon}{\isacharsemicolon}\ A\ {\isasymunion}\ B{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   258
 
\ \ \isacommand{hence}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   259
 
\ c{\isadigit{1}}{\isacharprime}{\isacharcolon}\ {\isachardoublequoteopen}{\isasymAnd}\ x{\isachardot}\ x\ {\isasymin}\ B\ {\isasymLongrightarrow}\ x\ {\isasymin}\ X{\isachardoublequoteclose}\ \isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   260
 
\ \ \ \ \isakeyword{and}\ c{\isadigit{2}}{\isacharprime}{\isacharcolon}\ {\isachardoublequoteopen}{\isasymAnd}\ x\ y{\isachardot}\ {\isasymlbrakk}x\ {\isasymin}\ X{\isacharsemicolon}\ y\ {\isasymin}\ A{\isasymrbrakk}\ {\isasymLongrightarrow}\ x\ {\isacharat}\ y\ {\isasymin}\ X{\isachardoublequoteclose}\ \isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   261
 
\ \ \ \ \isacommand{using}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   262
 
\ Seq{\isacharunderscore}def\ \isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   263
 
\ auto\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   264
 
\ \ \isacommand{show}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   265
 
\ {\isachardoublequoteopen}X\ {\isacharequal}\ B\ {\isacharsemicolon}{\isacharsemicolon}\ A{\isasymstar}{\isachardoublequoteclose}\ \isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   266
 
\ \ \isacommand{proof}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   267
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   268
 
\ \ \ \ \isacommand{show}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   269
 
\ {\isachardoublequoteopen}B\ {\isacharsemicolon}{\isacharsemicolon}\ A{\isasymstar}\ {\isasymsubseteq}\ X{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   270
 
\ \ \ \ \isacommand{proof}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   271
 
{\isacharminus}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   272
 
\ \ \ \ \ \ \isacommand{{\isacharbraceleft}}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   273
 
\ \isacommand{fix}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   274
 
\ x\ y\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   275
 
\ \ \ \ \ \ \ \ \isacommand{have}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   276
 
\ {\isachardoublequoteopen}{\isasymlbrakk}y\ {\isasymin}\ A{\isasymstar}{\isacharsemicolon}\ x\ {\isasymin}\ X{\isasymrbrakk}\ {\isasymLongrightarrow}\ x\ {\isacharat}\ y\ {\isasymin}\ X\ {\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   277
 
\ \ \ \ \ \ \ \ \ \ \isacommand{apply}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   278
 
\ {\isacharparenleft}induct\ arbitrary{\isacharcolon}x\ rule{\isacharcolon}Star{\isachardot}induct{\isacharcomma}\ simp{\isacharparenright}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   279
 
\ \ \ \ \ \ \ \ \ \ \isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   280
 
\ {\isacharparenleft}auto\ simp\ only{\isacharcolon}append{\isacharunderscore}assoc{\isacharbrackleft}THEN\ sym{\isacharbrackright}\ dest{\isacharcolon}c{\isadigit{2}}{\isacharprime}{\isacharparenright}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   281
 
\ \ \ \ \ \ \isacommand{{\isacharbraceright}}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   282
 
\ \isacommand{thus}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   283
 
\ {\isacharquery}thesis\ \isacommand{using}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   284
 
\ c{\isadigit{1}}{\isacharprime}\ \isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   285
 
\ {\isacharparenleft}auto\ simp{\isacharcolon}Seq{\isacharunderscore}def{\isacharparenright}\ \isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   286
 
\ \ \ \ \isacommand{qed}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   287
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   288
 
\ \ \isacommand{next}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   289
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   290
 
\ \ \ \ \isacommand{show}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   291
 
\ {\isachardoublequoteopen}X\ {\isasymsubseteq}\ B\ {\isacharsemicolon}{\isacharsemicolon}\ A{\isasymstar}{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   292
 
\ \ \ \ \isacommand{proof}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   293
 
{\isacharminus}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   294
 
\ \ \ \ \ \ \isacommand{{\isacharbraceleft}}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   295
 
\ \isacommand{fix}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   296
 
\ x\ \isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   297
 
\ \ \ \ \ \ \ \ \isacommand{have}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   298
 
\ {\isachardoublequoteopen}x\ {\isasymin}\ X\ {\isasymLongrightarrow}\ x\ {\isasymin}\ B\ {\isacharsemicolon}{\isacharsemicolon}\ A{\isasymstar}{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   299
 
\ \ \ \ \ \ \ \ \isacommand{proof}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   300
 
\ {\isacharparenleft}induct\ x\ taking{\isacharcolon}length\ rule{\isacharcolon}measure{\isacharunderscore}induct{\isacharparenright}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   301
 
\ \ \ \ \ \ \ \ \ \ \isacommand{fix}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   302
 
\ z\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   303
 
\ \ \ \ \ \ \ \ \ \ \isacommand{assume}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   304
 
\ hyps{\isacharcolon}\ \isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   305
 
\ \ \ \ \ \ \ \ \ \ \ \ {\isachardoublequoteopen}{\isasymforall}y{\isachardot}\ length\ y\ {\isacharless}\ length\ z\ {\isasymlongrightarrow}\ y\ {\isasymin}\ X\ {\isasymlongrightarrow}\ y\ {\isasymin}\ B\ {\isacharsemicolon}{\isacharsemicolon}\ A{\isasymstar}{\isachardoublequoteclose}\ \isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   306
 
\ \ \ \ \ \ \ \ \ \ \ \ \isakeyword{and}\ z{\isacharunderscore}in{\isacharcolon}\ {\isachardoublequoteopen}z\ {\isasymin}\ X{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   307
 
\ \ \ \ \ \ \ \ \ \ \isacommand{show}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   308
 
\ {\isachardoublequoteopen}z\ {\isasymin}\ B\ {\isacharsemicolon}{\isacharsemicolon}\ A{\isasymstar}{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   309
 
\ \ \ \ \ \ \ \ \ \ \isacommand{proof}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   310
 
\ {\isacharparenleft}cases\ {\isachardoublequoteopen}z\ {\isasymin}\ B{\isachardoublequoteclose}{\isacharparenright}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   311
 
\ \ \ \ \ \ \ \ \ \ \ \ \isacommand{case}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   312
 
\ True\ \isacommand{thus}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   313
 
\ {\isacharquery}thesis\ \isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   314
 
\ {\isacharparenleft}auto\ simp{\isacharcolon}Seq{\isacharunderscore}def\ start{\isacharparenright}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   315
 
\ \ \ \ \ \ \ \ \ \ \isacommand{next}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   316
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   317
 
\ \ \ \ \ \ \ \ \ \ \ \ \isacommand{case}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   318
 
\ False\ \isacommand{hence}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   319
 
\ {\isachardoublequoteopen}z\ {\isasymin}\ X\ {\isacharsemicolon}{\isacharsemicolon}\ A{\isachardoublequoteclose}\ \isacommand{using}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   320
 
\ eq{\isacharprime}\ z{\isacharunderscore}in\ \isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   321
 
\ auto\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   322
 
\ \ \ \ \ \ \ \ \ \ \ \ \isacommand{then}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   323
 
\ \isacommand{obtain}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   324
 
\ za\ zb\ \isakeyword{where}\ za{\isacharunderscore}in{\isacharcolon}\ {\isachardoublequoteopen}za\ {\isasymin}\ X{\isachardoublequoteclose}\ \isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   325
 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \isakeyword{and}\ zab{\isacharcolon}\ {\isachardoublequoteopen}z\ {\isacharequal}\ za\ {\isacharat}\ zb\ {\isasymand}\ zb\ {\isasymin}\ A{\isachardoublequoteclose}\ \isakeyword{and}\ zbne{\isacharcolon}\ {\isachardoublequoteopen}zb\ {\isasymnoteq}\ {\isacharbrackleft}{\isacharbrackright}{\isachardoublequoteclose}\ \isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   326
 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \isacommand{using}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   327
 
\ nemp\ \isacommand{unfolding}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   328
 
\ Seq{\isacharunderscore}def\ \isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   329
 
\ blast\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   330
 
\ \ \ \ \ \ \ \ \ \ \ \ \isacommand{from}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   331
 
\ zbne\ zab\ \isacommand{have}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   332
 
\ {\isachardoublequoteopen}length\ za\ {\isacharless}\ length\ z{\isachardoublequoteclose}\ \isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   333
 
\ auto\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   334
 
\ \ \ \ \ \ \ \ \ \ \ \ \isacommand{with}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   335
 
\ za{\isacharunderscore}in\ hyps\ \isacommand{have}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   336
 
\ {\isachardoublequoteopen}za\ {\isasymin}\ B\ {\isacharsemicolon}{\isacharsemicolon}\ A{\isasymstar}{\isachardoublequoteclose}\ \isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   337
 
\ blast\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   338
 
\ \ \ \ \ \ \ \ \ \ \ \ \isacommand{hence}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   339
 
\ {\isachardoublequoteopen}za\ {\isacharat}\ zb\ {\isasymin}\ B\ {\isacharsemicolon}{\isacharsemicolon}\ A{\isasymstar}{\isachardoublequoteclose}\ \isacommand{using}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   340
 
\ zab\ \isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   341
 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   342
 
\ {\isacharparenleft}clarsimp\ simp{\isacharcolon}Seq{\isacharunderscore}def{\isacharcomma}\ blast\ dest{\isacharcolon}star{\isacharunderscore}intro{\isadigit{3}}{\isacharparenright}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   343
 
\ \ \ \ \ \ \ \ \ \ \ \ \isacommand{thus}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   344
 
\ {\isacharquery}thesis\ \isacommand{using}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   345
 
\ zab\ \isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   346
 
\ simp\ \ \ \ \ \ \ \isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   347
 
\ \ \ \ \ \ \ \ \ \ \isacommand{qed}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   348
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   349
 
\ \ \ \ \ \ \ \ \isacommand{qed}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   350
 
\ \isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   351
 
\ \ \ \ \ \ \isacommand{{\isacharbraceright}}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   352
 
\ \isacommand{thus}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   353
 
\ {\isacharquery}thesis\ \isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   354
 
\ blast\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   355
 
\ \ \ \ \isacommand{qed}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   356
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   357
 
\ \ \isacommand{qed}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   358
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   359
 
\isacommand{qed}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   360
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   361
 
\endisatagproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   362
 
{\isafoldproof}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   363
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   364
 
\isadelimproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   365
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   366
 
\endisadelimproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   367
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   368
 
\begin{isamarkuptext}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   369
 
The syntax of regular expressions is defined by the datatype \isa{rexp}.%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   370
 
\end{isamarkuptext}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   371
 
\isamarkuptrue%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   372
 
\isacommand{datatype}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   373
 
\ rexp\ {\isacharequal}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   374
 
\ \ NULL\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   375
 
{\isacharbar}\ EMPTY\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   376
 
{\isacharbar}\ CHAR\ char\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   377
 
{\isacharbar}\ SEQ\ rexp\ rexp\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   378
 
{\isacharbar}\ ALT\ rexp\ rexp\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   379
 
{\isacharbar}\ STAR\ rexp%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   380
 
\begin{isamarkuptext}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   381
 
The following \isa{L} is an overloaded operator, where \isa{L{\isacharparenleft}x{\isacharparenright}} evaluates to
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   382
 
  the language represented by the syntactic object \isa{x}.%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   383
 
\end{isamarkuptext}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   384
 
\isamarkuptrue%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   385
 
\isacommand{consts}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   386
 
\ L{\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharprime}a\ {\isasymRightarrow}\ string\ set{\isachardoublequoteclose}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   387
 
\begin{isamarkuptext}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   388
 
The \isa{L{\isacharparenleft}rexp{\isacharparenright}} for regular expression \isa{rexp} is defined by the
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   389
 
  following overloading function \isa{L{\isacharunderscore}rexp}.%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   390
 
\end{isamarkuptext}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   391
 
\isamarkuptrue%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   392
 
\isacommand{overloading}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   393
 
\ L{\isacharunderscore}rexp\ {\isasymequiv}\ {\isachardoublequoteopen}L{\isacharcolon}{\isacharcolon}\ \ rexp\ {\isasymRightarrow}\ string\ set{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   394
 
\isakeyword{begin}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   395
 
\isacommand{fun}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   396
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   397
 
\ \ L{\isacharunderscore}rexp\ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}rexp\ {\isasymRightarrow}\ string\ set{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   398
 
\isakeyword{where}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   399
 
\ \ \ \ {\isachardoublequoteopen}L{\isacharunderscore}rexp\ {\isacharparenleft}NULL{\isacharparenright}\ {\isacharequal}\ {\isacharbraceleft}{\isacharbraceright}{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   400
 
\ \ {\isacharbar}\ {\isachardoublequoteopen}L{\isacharunderscore}rexp\ {\isacharparenleft}EMPTY{\isacharparenright}\ {\isacharequal}\ {\isacharbraceleft}{\isacharbrackleft}{\isacharbrackright}{\isacharbraceright}{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   401
 
\ \ {\isacharbar}\ {\isachardoublequoteopen}L{\isacharunderscore}rexp\ {\isacharparenleft}CHAR\ c{\isacharparenright}\ {\isacharequal}\ {\isacharbraceleft}{\isacharbrackleft}c{\isacharbrackright}{\isacharbraceright}{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   402
 
\ \ {\isacharbar}\ {\isachardoublequoteopen}L{\isacharunderscore}rexp\ {\isacharparenleft}SEQ\ r{\isadigit{1}}\ r{\isadigit{2}}{\isacharparenright}\ {\isacharequal}\ {\isacharparenleft}L{\isacharunderscore}rexp\ r{\isadigit{1}}{\isacharparenright}\ {\isacharsemicolon}{\isacharsemicolon}\ {\isacharparenleft}L{\isacharunderscore}rexp\ r{\isadigit{2}}{\isacharparenright}{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   403
 
\ \ {\isacharbar}\ {\isachardoublequoteopen}L{\isacharunderscore}rexp\ {\isacharparenleft}ALT\ r{\isadigit{1}}\ r{\isadigit{2}}{\isacharparenright}\ {\isacharequal}\ {\isacharparenleft}L{\isacharunderscore}rexp\ r{\isadigit{1}}{\isacharparenright}\ {\isasymunion}\ {\isacharparenleft}L{\isacharunderscore}rexp\ r{\isadigit{2}}{\isacharparenright}{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   404
 
\ \ {\isacharbar}\ {\isachardoublequoteopen}L{\isacharunderscore}rexp\ {\isacharparenleft}STAR\ r{\isacharparenright}\ {\isacharequal}\ {\isacharparenleft}L{\isacharunderscore}rexp\ r{\isacharparenright}{\isasymstar}{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   405
 
\isacommand{end}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   406
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   407
 
\begin{isamarkuptext}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   408
 
To obtain equational system out of finite set of equivalent classes, a fold operation
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   409
 
  on finite set \isa{folds} is defined. The use of \isa{SOME} makes \isa{fold}
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   410
 
  more robust than the \isa{fold} in Isabelle library. The expression \isa{folds\ f}
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   411
 
  makes sense when \isa{f} is not \isa{associative} and \isa{commutitive},
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   412
 
  while \isa{fold\ f} does not.%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   413
 
\end{isamarkuptext}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   414
 
\isamarkuptrue%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   415
 
\isacommand{definition}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   416
 
\ \isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   417
 
\ \ folds\ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}{\isacharprime}a\ {\isasymRightarrow}\ {\isacharprime}b\ {\isasymRightarrow}\ {\isacharprime}b{\isacharparenright}\ {\isasymRightarrow}\ {\isacharprime}b\ {\isasymRightarrow}\ {\isacharprime}a\ set\ {\isasymRightarrow}\ {\isacharprime}b{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   418
 
\isakeyword{where}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   419
 
\ \ {\isachardoublequoteopen}folds\ f\ z\ S\ {\isasymequiv}\ SOME\ x{\isachardot}\ fold{\isacharunderscore}graph\ f\ z\ S\ x{\isachardoublequoteclose}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   420
 
\begin{isamarkuptext}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   421
 
The following lemma assures that the arbitrary choice made by the \isa{SOME} in \isa{folds}
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   422
 
  does not affect the \isa{L}-value of the resultant regular expression.%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   423
 
\end{isamarkuptext}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   424
 
\isamarkuptrue%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   425
 
\isacommand{lemma}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   426
 
\ folds{\isacharunderscore}alt{\isacharunderscore}simp\ {\isacharbrackleft}simp{\isacharbrackright}{\isacharcolon}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   427
 
\ \ {\isachardoublequoteopen}finite\ rs\ {\isasymLongrightarrow}\ L\ {\isacharparenleft}folds\ ALT\ NULL\ rs{\isacharparenright}\ {\isacharequal}\ {\isasymUnion}\ {\isacharparenleft}L\ {\isacharbackquote}\ rs{\isacharparenright}{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   428
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   429
 
\isadelimproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   430
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   431
 
\endisadelimproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   432
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   433
 
\isatagproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   434
 
\isacommand{apply}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   435
 
\ {\isacharparenleft}rule\ set{\isacharunderscore}ext{\isacharcomma}\ simp\ add{\isacharcolon}folds{\isacharunderscore}def{\isacharparenright}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   436
 
\isacommand{apply}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   437
 
\ {\isacharparenleft}rule\ someI{\isadigit{2}}{\isacharunderscore}ex{\isacharcomma}\ erule\ finite{\isacharunderscore}imp{\isacharunderscore}fold{\isacharunderscore}graph{\isacharparenright}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   438
 
\isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   439
 
\ {\isacharparenleft}erule\ fold{\isacharunderscore}graph{\isachardot}induct{\isacharcomma}\ auto{\isacharparenright}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   440
 
\endisatagproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   441
 
{\isafoldproof}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   442
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   443
 
\isadelimproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   444
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   445
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   446
 
\endisadelimproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   447
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   448
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   449
 
\isacommand{lemma}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   450
 
\ {\isacharbrackleft}simp{\isacharbrackright}{\isacharcolon}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   451
 
\ \ \isakeyword{shows}\ {\isachardoublequoteopen}{\isacharparenleft}x{\isacharcomma}\ y{\isacharparenright}\ {\isasymin}\ {\isacharbraceleft}{\isacharparenleft}x{\isacharcomma}\ y{\isacharparenright}{\isachardot}\ P\ x\ y{\isacharbraceright}\ {\isasymlongleftrightarrow}\ P\ x\ y{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   452
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   453
 
\isadelimproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   454
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   455
 
\endisadelimproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   456
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   457
 
\isatagproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   458
 
\isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   459
 
\ simp%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   460
 
\endisatagproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   461
 
{\isafoldproof}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   462
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   463
 
\isadelimproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   464
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   465
 
\endisadelimproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   466
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   467
 
\begin{isamarkuptext}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   468
 
\isa{{\isasymapprox}L} is an equivalent class defined by language \isa{Lang}.%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   469
 
\end{isamarkuptext}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   470
 
\isamarkuptrue%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   471
 
\isacommand{definition}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   472
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   473
 
\ \ str{\isacharunderscore}eq{\isacharunderscore}rel\ {\isacharparenleft}{\isachardoublequoteopen}{\isasymapprox}{\isacharunderscore}{\isachardoublequoteclose}{\isacharparenright}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   474
 
\isakeyword{where}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   475
 
\ \ {\isachardoublequoteopen}{\isasymapprox}Lang\ {\isasymequiv}\ {\isacharbraceleft}{\isacharparenleft}x{\isacharcomma}\ y{\isacharparenright}{\isachardot}\ \ {\isacharparenleft}{\isasymforall}z{\isachardot}\ x\ {\isacharat}\ z\ {\isasymin}\ Lang\ {\isasymlongleftrightarrow}\ y\ {\isacharat}\ z\ {\isasymin}\ Lang{\isacharparenright}{\isacharbraceright}{\isachardoublequoteclose}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   476
 
\begin{isamarkuptext}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   477
 
Among equivlant clases of \isa{{\isasymapprox}Lang}, the set \isa{finals{\isacharparenleft}Lang{\isacharparenright}} singles out
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   478
 
  those which contains strings from \isa{Lang}.%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   479
 
\end{isamarkuptext}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   480
 
\isamarkuptrue%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   481
 
\isacommand{definition}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   482
 
\ \isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   483
 
\ \ \ {\isachardoublequoteopen}finals\ Lang\ {\isasymequiv}\ {\isacharbraceleft}{\isasymapprox}Lang\ {\isacharbackquote}{\isacharbackquote}\ {\isacharbraceleft}x{\isacharbraceright}\ {\isacharbar}\ x\ {\isachardot}\ x\ {\isasymin}\ Lang{\isacharbraceright}{\isachardoublequoteclose}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   484
 
\begin{isamarkuptext}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   485
 
The following lemma show the relationshipt between \isa{finals{\isacharparenleft}Lang{\isacharparenright}} and \isa{Lang}.%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   486
 
\end{isamarkuptext}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   487
 
\isamarkuptrue%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   488
 
\isacommand{lemma}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   489
 
\ lang{\isacharunderscore}is{\isacharunderscore}union{\isacharunderscore}of{\isacharunderscore}finals{\isacharcolon}\ \isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   490
 
\ \ {\isachardoublequoteopen}Lang\ {\isacharequal}\ {\isasymUnion}\ finals{\isacharparenleft}Lang{\isacharparenright}{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   491
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   492
 
\isadelimproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   493
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   494
 
\endisadelimproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   495
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   496
 
\isatagproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   497
 
\isacommand{proof}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   498
 
\ \isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   499
 
\ \ \isacommand{show}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   500
 
\ {\isachardoublequoteopen}Lang\ {\isasymsubseteq}\ {\isasymUnion}\ {\isacharparenleft}finals\ Lang{\isacharparenright}{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   501
 
\ \ \isacommand{proof}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   502
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   503
 
\ \ \ \ \isacommand{fix}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   504
 
\ x\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   505
 
\ \ \ \ \isacommand{assume}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   506
 
\ {\isachardoublequoteopen}x\ {\isasymin}\ Lang{\isachardoublequoteclose}\ \ \ \isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   507
 
\ \ \ \ \isacommand{thus}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   508
 
\ {\isachardoublequoteopen}x\ {\isasymin}\ {\isasymUnion}\ {\isacharparenleft}finals\ Lang{\isacharparenright}{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   509
 
\ \ \ \ \ \ \isacommand{apply}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   510
 
\ {\isacharparenleft}simp\ add{\isacharcolon}finals{\isacharunderscore}def{\isacharcomma}\ rule{\isacharunderscore}tac\ x\ {\isacharequal}\ {\isachardoublequoteopen}{\isacharparenleft}{\isasymapprox}Lang{\isacharparenright}\ {\isacharbackquote}{\isacharbackquote}\ {\isacharbraceleft}x{\isacharbraceright}{\isachardoublequoteclose}\ \isakeyword{in}\ exI{\isacharparenright}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   511
 
\ \ \ \ \ \ \isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   512
 
\ {\isacharparenleft}auto\ simp{\isacharcolon}Image{\isacharunderscore}def\ str{\isacharunderscore}eq{\isacharunderscore}rel{\isacharunderscore}def{\isacharparenright}\ \ \ \ \isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   513
 
\ \ \isacommand{qed}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   514
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   515
 
\isacommand{next}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   516
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   517
 
\ \ \isacommand{show}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   518
 
\ {\isachardoublequoteopen}{\isasymUnion}\ {\isacharparenleft}finals\ Lang{\isacharparenright}\ {\isasymsubseteq}\ Lang{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   519
 
\ \ \ \ \isacommand{apply}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   520
 
\ {\isacharparenleft}clarsimp\ simp{\isacharcolon}finals{\isacharunderscore}def\ str{\isacharunderscore}eq{\isacharunderscore}rel{\isacharunderscore}def{\isacharparenright}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   521
 
\ \ \ \ \isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   522
 
\ {\isacharparenleft}drule{\isacharunderscore}tac\ x\ {\isacharequal}\ {\isachardoublequoteopen}{\isacharbrackleft}{\isacharbrackright}{\isachardoublequoteclose}\ \isakeyword{in}\ spec{\isacharcomma}\ auto{\isacharparenright}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   523
 
\isacommand{qed}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   524
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   525
 
\endisatagproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   526
 
{\isafoldproof}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   527
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   528
 
\isadelimproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   529
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   530
 
\endisadelimproof
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   531
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   532
 
\isamarkupsection{Direction \isa{finite\ partition\ {\isasymRightarrow}\ regular\ language}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   533
 
}
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   534
 
\isamarkuptrue%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   535
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   536
 
\begin{isamarkuptext}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   537
 
The relationship between equivalent classes can be described by an
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   538
 
  equational system.
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   539
 
  For example, in equational system \eqref{example_eqns},  $X_0, X_1$ are equivalent
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   540
 
  classes. The first equation says every string in $X_0$ is obtained either by
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   541
 
  appending one $b$ to a string in $X_0$ or by appending one $a$ to a string in
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   542
 
  $X_1$ or just be an empty string (represented by the regular expression $\lambda$). Similary,
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   543
 
  the second equation tells how the strings inside $X_1$ are composed.
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   544
 
  \begin{equation}\label{example_eqns}
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   545
 
    \begin{aligned}
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   546
 
      X_0 & = X_0 b + X_1 a + \lambda \\
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   547
 
      X_1 & = X_0 a + X_1 b
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   548
 
    \end{aligned}
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   549
 
  \end{equation}
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   550
 
  The summands on the right hand side is represented by the following data type
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   551
 
  \isa{rhs{\isacharunderscore}item}, mnemonic for 'right hand side item'.
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   552
 
  Generally, there are two kinds of right hand side items, one kind corresponds to
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   553
 
  pure regular expressions, like the $\lambda$ in \eqref{example_eqns}, the other kind corresponds to
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   554
 
  transitions from one one equivalent class to another, like the $X_0 b, X_1 a$ etc.%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   555
 
\end{isamarkuptext}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   556
 
\isamarkuptrue%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   557
 
\isacommand{datatype}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   558
 
\ rhs{\isacharunderscore}item\ {\isacharequal}\ \isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   559
 
\ \ \ Lam\ {\isachardoublequoteopen}rexp{\isachardoublequoteclose}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   560
 
\ {\isacharbar}\ Trn\ {\isachardoublequoteopen}{\isacharparenleft}string\ set{\isacharparenright}{\isachardoublequoteclose}\ {\isachardoublequoteopen}rexp{\isachardoublequoteclose}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   561
 
\begin{isamarkuptext}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   562
 
In this formalization, pure regular expressions like $\lambda$ is
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   563
 
  repsented by \isa{Lam{\isacharparenleft}EMPTY{\isacharparenright}}, while transitions like $X_0 a$ is represented by $Trn~X_0~(CHAR~a)$.%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   564
 
\end{isamarkuptext}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   565
 
\isamarkuptrue%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   566
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   567
 
\begin{isamarkuptext}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   568
 
The functions \isa{the{\isacharunderscore}r} and \isa{the{\isacharunderscore}Trn} are used to extract
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   569
 
  subcomponents from right hand side items.%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   570
 
\end{isamarkuptext}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   571
 
\isamarkuptrue%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   572
 
\isacommand{fun}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   573
 
\ the{\isacharunderscore}r\ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}rhs{\isacharunderscore}item\ {\isasymRightarrow}\ rexp{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   574
 
\isakeyword{where}\ {\isachardoublequoteopen}the{\isacharunderscore}r\ {\isacharparenleft}Lam\ r{\isacharparenright}\ {\isacharequal}\ r{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   575
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   576
 
\isacommand{fun}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   577
 
\ the{\isacharunderscore}Trn{\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}rhs{\isacharunderscore}item\ {\isasymRightarrow}\ {\isacharparenleft}string\ set\ {\isasymtimes}\ rexp{\isacharparenright}{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   578
 
\isakeyword{where}\ {\isachardoublequoteopen}the{\isacharunderscore}Trn\ {\isacharparenleft}Trn\ Y\ r{\isacharparenright}\ {\isacharequal}\ {\isacharparenleft}Y{\isacharcomma}\ r{\isacharparenright}{\isachardoublequoteclose}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   579
 
\begin{isamarkuptext}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   580
 
Every right hand side item \isa{itm} defines a string set given
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   581
 
  \isa{L{\isacharparenleft}itm{\isacharparenright}}, defined as:%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   582
 
\end{isamarkuptext}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   583
 
\isamarkuptrue%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   584
 
\isacommand{overloading}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   585
 
\ L{\isacharunderscore}rhs{\isacharunderscore}e\ {\isasymequiv}\ {\isachardoublequoteopen}L{\isacharcolon}{\isacharcolon}\ rhs{\isacharunderscore}item\ {\isasymRightarrow}\ string\ set{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   586
 
\isakeyword{begin}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   587
 
\ \ \isacommand{fun}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   588
 
\ L{\isacharunderscore}rhs{\isacharunderscore}e{\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}rhs{\isacharunderscore}item\ {\isasymRightarrow}\ string\ set{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   589
 
\ \ \isakeyword{where}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   590
 
\ \ \ \ \ {\isachardoublequoteopen}L{\isacharunderscore}rhs{\isacharunderscore}e\ {\isacharparenleft}Lam\ r{\isacharparenright}\ {\isacharequal}\ L\ r{\isachardoublequoteclose}\ {\isacharbar}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   591
 
\ \ \ \ \ {\isachardoublequoteopen}L{\isacharunderscore}rhs{\isacharunderscore}e\ {\isacharparenleft}Trn\ X\ r{\isacharparenright}\ {\isacharequal}\ X\ {\isacharsemicolon}{\isacharsemicolon}\ L\ r{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   592
 
\isacommand{end}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   593
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   594
 
\begin{isamarkuptext}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   595
 
The right hand side of every equation is represented by a set of
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   596
 
  items. The string set defined by such a set \isa{itms} is given
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   597
 
  by \isa{L{\isacharparenleft}itms{\isacharparenright}}, defined as:%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   598
 
\end{isamarkuptext}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   599
 
\isamarkuptrue%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   600
 
\isacommand{overloading}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   601
 
\ L{\isacharunderscore}rhs\ {\isasymequiv}\ {\isachardoublequoteopen}L{\isacharcolon}{\isacharcolon}\ rhs{\isacharunderscore}item\ set\ {\isasymRightarrow}\ string\ set{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   602
 
\isakeyword{begin}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   603
 
\ \ \ \isacommand{fun}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   604
 
\ L{\isacharunderscore}rhs{\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}rhs{\isacharunderscore}item\ set\ {\isasymRightarrow}\ string\ set{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   605
 
\ \ \ \isakeyword{where}\ {\isachardoublequoteopen}L{\isacharunderscore}rhs\ rhs\ {\isacharequal}\ {\isasymUnion}\ {\isacharparenleft}L\ {\isacharbackquote}\ rhs{\isacharparenright}{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   606
 
\isacommand{end}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   607
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   608
 
\begin{isamarkuptext}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   609
 
Given a set of equivalent classses \isa{CS} and one equivalent class \isa{X} among
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   610
 
  \isa{CS}, the term \isa{init{\isacharunderscore}rhs\ CS\ X} is used to extract the right hand side of
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   611
 
  the equation describing the formation of \isa{X}. The definition of \isa{init{\isacharunderscore}rhs}
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   612
 
  is:%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   613
 
\end{isamarkuptext}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   614
 
\isamarkuptrue%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   615
 
\isacommand{definition}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   616
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   617
 
\ \ {\isachardoublequoteopen}init{\isacharunderscore}rhs\ CS\ X\ {\isasymequiv}\ \ \isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   618
 
\ \ \ \ \ \ if\ {\isacharparenleft}{\isacharbrackleft}{\isacharbrackright}\ {\isasymin}\ X{\isacharparenright}\ then\ \isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   619
 
\ \ \ \ \ \ \ \ \ \ {\isacharbraceleft}Lam{\isacharparenleft}EMPTY{\isacharparenright}{\isacharbraceright}\ {\isasymunion}\ {\isacharbraceleft}Trn\ Y\ {\isacharparenleft}CHAR\ c{\isacharparenright}\ {\isacharbar}\ Y\ c{\isachardot}\ Y\ {\isasymin}\ CS\ {\isasymand}\ Y\ {\isacharsemicolon}{\isacharsemicolon}\ {\isacharbraceleft}{\isacharbrackleft}c{\isacharbrackright}{\isacharbraceright}\ {\isasymsubseteq}\ X{\isacharbraceright}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   620
 
\ \ \ \ \ \ else\ \isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   621
 
\ \ \ \ \ \ \ \ \ \ {\isacharbraceleft}Trn\ Y\ {\isacharparenleft}CHAR\ c{\isacharparenright}{\isacharbar}\ Y\ c{\isachardot}\ Y\ {\isasymin}\ CS\ {\isasymand}\ Y\ {\isacharsemicolon}{\isacharsemicolon}\ {\isacharbraceleft}{\isacharbrackleft}c{\isacharbrackright}{\isacharbraceright}\ {\isasymsubseteq}\ X{\isacharbraceright}{\isachardoublequoteclose}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   622
 
\begin{isamarkuptext}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   623
 
In the definition of \isa{init{\isacharunderscore}rhs}, the term
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   624
 
  \isa{{\isacharbraceleft}Trn\ Y\ {\isacharparenleft}CHAR\ c{\isacharparenright}{\isacharbar}\ Y\ c{\isachardot}\ Y\ {\isasymin}\ CS\ {\isasymand}\ Y\ {\isacharsemicolon}{\isacharsemicolon}\ {\isacharbraceleft}{\isacharbrackleft}c{\isacharbrackright}{\isacharbraceright}\ {\isasymsubseteq}\ X{\isacharbraceright}} appearing on both branches
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   625
 
  describes the formation of strings in \isa{X} out of transitions, while
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   626
 
  the term \isa{{\isacharbraceleft}Lam{\isacharparenleft}EMPTY{\isacharparenright}{\isacharbraceright}} describes the empty string which is intrinsically contained in
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   627
 
  \isa{X} rather than by transition. This \isa{{\isacharbraceleft}Lam{\isacharparenleft}EMPTY{\isacharparenright}{\isacharbraceright}} corresponds to
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   628
 
  the $\lambda$ in \eqref{example_eqns}.
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
zhang
parents:
diff changeset 
   629
 












f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   630


  With the help of \isa{init{\isacharunderscore}rhs}, the equitional system descrbing the formation of every













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   631


  equivalent class inside \isa{CS} is given by the following \isa{eqs{\isacharparenleft}CS{\isacharparenright}}.%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   632


\end{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   633


\isamarkuptrue%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   634


\isacommand{definition}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   635


\ {\isachardoublequoteopen}eqs\ CS\ {\isasymequiv}\ {\isacharbraceleft}{\isacharparenleft}X{\isacharcomma}\ init{\isacharunderscore}rhs\ CS\ X{\isacharparenright}\ {\isacharbar}\ X{\isachardot}\ \ X\ {\isasymin}\ CS{\isacharbraceright}{\isachardoublequoteclose}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   636


\begin{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   637


The following \isa{items{\isacharunderscore}of\ rhs\ X} returns all \isa{X}-items in \isa{rhs}.%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   638


\end{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   639


\isamarkuptrue%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   640


\isacommand{definition}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   641


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   642


\ \ {\isachardoublequoteopen}items{\isacharunderscore}of\ rhs\ X\ {\isasymequiv}\ {\isacharbraceleft}Trn\ X\ r\ {\isacharbar}\ r{\isachardot}\ {\isacharparenleft}Trn\ X\ r{\isacharparenright}\ {\isasymin}\ rhs{\isacharbraceright}{\isachardoublequoteclose}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   643


\begin{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   644


The following \isa{rexp{\isacharunderscore}of\ rhs\ X} combines all regular expressions in \isa{X}-items













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   645


  using \isa{ALT} to form a single regular expression. 













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   646


  It will be used later to implement \isa{arden{\isacharunderscore}variate} and \isa{rhs{\isacharunderscore}subst}.%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   647


\end{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   648


\isamarkuptrue%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   649


\isacommand{definition}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   650


\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   651


\ \ {\isachardoublequoteopen}rexp{\isacharunderscore}of\ rhs\ X\ {\isasymequiv}\ folds\ ALT\ NULL\ {\isacharparenleft}{\isacharparenleft}snd\ o\ the{\isacharunderscore}Trn{\isacharparenright}\ {\isacharbackquote}\ items{\isacharunderscore}of\ rhs\ X{\isacharparenright}{\isachardoublequoteclose}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   652


\begin{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   653


The following \isa{lam{\isacharunderscore}of\ rhs} returns all pure regular expression items in \isa{rhs}.%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   654


\end{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   655


\isamarkuptrue%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   656


\isacommand{definition}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   657


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   658


\ \ {\isachardoublequoteopen}lam{\isacharunderscore}of\ rhs\ {\isasymequiv}\ {\isacharbraceleft}Lam\ r\ {\isacharbar}\ r{\isachardot}\ Lam\ r\ {\isasymin}\ rhs{\isacharbraceright}{\isachardoublequoteclose}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   659


\begin{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   660


The following \isa{rexp{\isacharunderscore}of{\isacharunderscore}lam\ rhs} combines pure regular expression items in \isa{rhs}













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   661


  using \isa{ALT} to form a single regular expression. 













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   662


  When all variables inside \isa{rhs} are eliminated, \isa{rexp{\isacharunderscore}of{\isacharunderscore}lam\ rhs}













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   663


  is used to compute compute the regular expression corresponds to \isa{rhs}.%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   664


\end{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   665


\isamarkuptrue%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   666


\isacommand{definition}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   667


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   668


\ \ {\isachardoublequoteopen}rexp{\isacharunderscore}of{\isacharunderscore}lam\ rhs\ {\isasymequiv}\ folds\ ALT\ NULL\ {\isacharparenleft}the{\isacharunderscore}r\ {\isacharbackquote}\ lam{\isacharunderscore}of\ rhs{\isacharparenright}{\isachardoublequoteclose}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   669


\begin{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   670


The following \isa{attach{\isacharunderscore}rexp\ rexp{\isacharprime}\ itm} attach 













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   671


  the regular expression \isa{rexp{\isacharprime}} to













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   672


  the right of right hand side item \isa{itm}.%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   673


\end{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   674


\isamarkuptrue%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   675


\isacommand{fun}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   676


\ attach{\isacharunderscore}rexp\ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}rexp\ {\isasymRightarrow}\ rhs{\isacharunderscore}item\ {\isasymRightarrow}\ rhs{\isacharunderscore}item{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   677


\isakeyword{where}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   678


\ \ {\isachardoublequoteopen}attach{\isacharunderscore}rexp\ rexp{\isacharprime}\ {\isacharparenleft}Lam\ rexp{\isacharparenright}\ \ \ {\isacharequal}\ Lam\ {\isacharparenleft}SEQ\ rexp\ rexp{\isacharprime}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   679


{\isacharbar}\ {\isachardoublequoteopen}attach{\isacharunderscore}rexp\ rexp{\isacharprime}\ {\isacharparenleft}Trn\ X\ rexp{\isacharparenright}\ {\isacharequal}\ Trn\ X\ {\isacharparenleft}SEQ\ rexp\ rexp{\isacharprime}{\isacharparenright}{\isachardoublequoteclose}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   680


\begin{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   681


The following \isa{append{\isacharunderscore}rhs{\isacharunderscore}rexp\ rhs\ rexp} attaches 













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   682


  \isa{rexp} to every item in \isa{rhs}.%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   683


\end{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   684


\isamarkuptrue%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   685


\isacommand{definition}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   686


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   687


\ \ {\isachardoublequoteopen}append{\isacharunderscore}rhs{\isacharunderscore}rexp\ rhs\ rexp\ {\isasymequiv}\ {\isacharparenleft}attach{\isacharunderscore}rexp\ rexp{\isacharparenright}\ {\isacharbackquote}\ rhs{\isachardoublequoteclose}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   688


\begin{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   689


With the help of the two functions immediately above, Ardens'













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   690


  transformation on right hand side \isa{rhs} is implemented













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   691


  by the following function \isa{arden{\isacharunderscore}variate\ X\ rhs}.













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   692


  After this transformation, the recursive occurent of \isa{X}













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   693


  in \isa{rhs} will be eliminated, while the 













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   694


  string set defined by \isa{rhs} is kept unchanged.%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   695


\end{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   696


\isamarkuptrue%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   697


\isacommand{definition}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   698


\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   699


\ \ {\isachardoublequoteopen}arden{\isacharunderscore}variate\ X\ rhs\ {\isasymequiv}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   700


\ \ \ \ \ \ \ \ append{\isacharunderscore}rhs{\isacharunderscore}rexp\ {\isacharparenleft}rhs\ {\isacharminus}\ items{\isacharunderscore}of\ rhs\ X{\isacharparenright}\ {\isacharparenleft}STAR\ {\isacharparenleft}rexp{\isacharunderscore}of\ rhs\ X{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   701


\begin{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   702


Suppose the equation defining \isa{X} is $X = xrhs$,













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   703


  the purpose of \isa{rhs{\isacharunderscore}subst} is to substitute all occurences of \isa{X} in













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   704


  \isa{rhs} by \isa{xrhs}.













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   705


  A litte thought may reveal that the final result













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   706


  should be: first append $(a_1 | a_2 | \ldots | a_n)$ to every item of \isa{xrhs} and then













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   707


  union the result with all non-\isa{X}-items of \isa{rhs}.%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   708


\end{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   709


\isamarkuptrue%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   710


\isacommand{definition}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   711


\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   712


\ \ {\isachardoublequoteopen}rhs{\isacharunderscore}subst\ rhs\ X\ xrhs\ {\isasymequiv}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   713


\ \ \ \ \ \ \ \ {\isacharparenleft}rhs\ {\isacharminus}\ {\isacharparenleft}items{\isacharunderscore}of\ rhs\ X{\isacharparenright}{\isacharparenright}\ {\isasymunion}\ {\isacharparenleft}append{\isacharunderscore}rhs{\isacharunderscore}rexp\ xrhs\ {\isacharparenleft}rexp{\isacharunderscore}of\ rhs\ X{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   714


\begin{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   715


Suppose the equation defining \isa{X} is $X = xrhs$, the follwing













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   716


  \isa{eqs{\isacharunderscore}subst\ ES\ X\ xrhs} substitute \isa{xrhs} into every equation













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   717


  of the equational system \isa{ES}.%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   718


\end{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   719


\isamarkuptrue%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   720


\isacommand{definition}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   721


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   722


\ \ {\isachardoublequoteopen}eqs{\isacharunderscore}subst\ ES\ X\ xrhs\ {\isasymequiv}\ {\isacharbraceleft}{\isacharparenleft}Y{\isacharcomma}\ rhs{\isacharunderscore}subst\ yrhs\ X\ xrhs{\isacharparenright}\ {\isacharbar}\ Y\ yrhs{\isachardot}\ {\isacharparenleft}Y{\isacharcomma}\ yrhs{\isacharparenright}\ {\isasymin}\ ES{\isacharbraceright}{\isachardoublequoteclose}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   723


\begin{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   724


The computation of regular expressions for equivalent classes is accomplished













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   725


  using a iteration principle given by the following lemma.%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   726


\end{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   727


\isamarkuptrue%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   728


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   729


\ wf{\isacharunderscore}iter\ {\isacharbrackleft}rule{\isacharunderscore}format{\isacharbrackright}{\isacharcolon}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   730


\ \ \isakeyword{fixes}\ f\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   731


\ \ \isakeyword{assumes}\ step{\isacharcolon}\ {\isachardoublequoteopen}{\isasymAnd}\ e{\isachardot}\ {\isasymlbrakk}P\ e{\isacharsemicolon}\ {\isasymnot}\ Q\ e{\isasymrbrakk}\ {\isasymLongrightarrow}\ {\isacharparenleft}{\isasymexists}\ e{\isacharprime}{\isachardot}\ P\ e{\isacharprime}\ {\isasymand}\ \ {\isacharparenleft}f{\isacharparenleft}e{\isacharprime}{\isacharparenright}{\isacharcomma}\ f{\isacharparenleft}e{\isacharparenright}{\isacharparenright}\ {\isasymin}\ less{\isacharunderscore}than{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   732


\ \ \isakeyword{shows}\ pe{\isacharcolon}\ \ \ \ \ {\isachardoublequoteopen}P\ e\ {\isasymlongrightarrow}\ {\isacharparenleft}{\isasymexists}\ e{\isacharprime}{\isachardot}\ P\ e{\isacharprime}\ {\isasymand}\ \ Q\ e{\isacharprime}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   733


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   734


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   735


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   736


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   737


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   738


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   739


\isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   740


{\isacharparenleft}induct\ e\ rule{\isacharcolon}\ wf{\isacharunderscore}induct\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   741


\ \ \ \ \ \ \ \ \ \ \ {\isacharbrackleft}OF\ wf{\isacharunderscore}inv{\isacharunderscore}image{\isacharbrackleft}OF\ wf{\isacharunderscore}less{\isacharunderscore}than{\isacharcomma}\ \isakeyword{where}\ f\ {\isacharequal}\ {\isachardoublequoteopen}f{\isachardoublequoteclose}{\isacharbrackright}{\isacharbrackright}{\isacharcomma}\ clarify{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   742


\ \ \isacommand{fix}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   743


\ x\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   744


\ \ \isacommand{assume}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   745


\ h\ {\isacharbrackleft}rule{\isacharunderscore}format{\isacharbrackright}{\isacharcolon}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   746


\ \ \ \ {\isachardoublequoteopen}{\isasymforall}y{\isachardot}\ {\isacharparenleft}y{\isacharcomma}\ x{\isacharparenright}\ {\isasymin}\ inv{\isacharunderscore}image\ less{\isacharunderscore}than\ f\ {\isasymlongrightarrow}\ P\ y\ {\isasymlongrightarrow}\ {\isacharparenleft}{\isasymexists}e{\isacharprime}{\isachardot}\ P\ e{\isacharprime}\ {\isasymand}\ Q\ e{\isacharprime}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   747


\ \ \ \ \isakeyword{and}\ px{\isacharcolon}\ {\isachardoublequoteopen}P\ x{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   748


\ \ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   749


\ {\isachardoublequoteopen}{\isasymexists}e{\isacharprime}{\isachardot}\ P\ e{\isacharprime}\ {\isasymand}\ Q\ e{\isacharprime}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   750


\ \ \isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   751


{\isacharparenleft}cases\ {\isachardoublequoteopen}Q\ x{\isachardoublequoteclose}{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   752


\ \ \ \ \isacommand{assume}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   753


\ {\isachardoublequoteopen}Q\ x{\isachardoublequoteclose}\ \isacommand{with}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   754


\ px\ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   755


\ {\isacharquery}thesis\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   756


\ blast\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   757


\ \ \isacommand{next}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   758


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   759


\ \ \ \ \isacommand{assume}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   760


\ nq{\isacharcolon}\ {\isachardoublequoteopen}{\isasymnot}\ Q\ x{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   761


\ \ \ \ \isacommand{from}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   762


\ step\ {\isacharbrackleft}OF\ px\ nq{\isacharbrackright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   763


\ \ \ \ \isacommand{obtain}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   764


\ e{\isacharprime}\ \isakeyword{where}\ pe{\isacharprime}{\isacharcolon}\ {\isachardoublequoteopen}P\ e{\isacharprime}{\isachardoublequoteclose}\ \isakeyword{and}\ ltf{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}f\ e{\isacharprime}{\isacharcomma}\ f\ x{\isacharparenright}\ {\isasymin}\ less{\isacharunderscore}than{\isachardoublequoteclose}\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   765


\ auto\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   766


\ \ \ \ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   767


\ {\isacharquery}thesis\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   768


\ \ \ \ \isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   769


{\isacharparenleft}rule\ h{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   770


\ \ \ \ \ \ \isacommand{from}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   771


\ ltf\ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   772


\ {\isachardoublequoteopen}{\isacharparenleft}e{\isacharprime}{\isacharcomma}\ x{\isacharparenright}\ {\isasymin}\ inv{\isacharunderscore}image\ less{\isacharunderscore}than\ f{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   773


\ \ \ \ \ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   774


\ {\isacharparenleft}simp\ add{\isacharcolon}inv{\isacharunderscore}image{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   775


\ \ \ \ \isacommand{next}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   776


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   777


\ \ \ \ \ \ \isacommand{from}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   778


\ pe{\isacharprime}\ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   779


\ {\isachardoublequoteopen}P\ e{\isacharprime}{\isachardoublequoteclose}\ \isacommand{{\isachardot}}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   780


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   781


\ \ \ \ \isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   782


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   783


\ \ \isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   784


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   785


\isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   786


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   787


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   788


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   789


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   790


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   791


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   792


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   793


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   794


\begin{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   795


The \isa{P} in lemma \isa{wf{\isacharunderscore}iter} is an invaiant kept throughout the iteration procedure.













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   796


  The particular invariant used to solve our problem is defined by function \isa{Inv{\isacharparenleft}ES{\isacharparenright}},













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   797


  an invariant over equal system \isa{ES}.













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   798


  Every definition starting next till \isa{Inv} stipulates a property to be satisfied by \isa{ES}.%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   799


\end{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   800


\isamarkuptrue%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   801


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   802


\begin{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   803


Every variable is defined at most onece in \isa{ES}.%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   804


\end{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   805


\isamarkuptrue%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   806


\isacommand{definition}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   807


\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   808


\ \ {\isachardoublequoteopen}distinct{\isacharunderscore}equas\ ES\ {\isasymequiv}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   809


\ \ \ \ \ \ \ \ \ \ \ \ {\isasymforall}\ X\ rhs\ rhs{\isacharprime}{\isachardot}\ {\isacharparenleft}X{\isacharcomma}\ rhs{\isacharparenright}\ {\isasymin}\ ES\ {\isasymand}\ {\isacharparenleft}X{\isacharcomma}\ rhs{\isacharprime}{\isacharparenright}\ {\isasymin}\ ES\ {\isasymlongrightarrow}\ rhs\ {\isacharequal}\ rhs{\isacharprime}{\isachardoublequoteclose}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   810


\begin{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   811


Every equation in \isa{ES} (represented by \isa{{\isacharparenleft}X{\isacharcomma}\ rhs{\isacharparenright}}) is valid, i.e. \isa{{\isacharparenleft}X\ {\isacharequal}\ L\ rhs{\isacharparenright}}.%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   812


\end{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   813


\isamarkuptrue%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   814


\isacommand{definition}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   815


\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   816


\ \ {\isachardoublequoteopen}valid{\isacharunderscore}eqns\ ES\ {\isasymequiv}\ {\isasymforall}\ X\ rhs{\isachardot}\ {\isacharparenleft}X{\isacharcomma}\ rhs{\isacharparenright}\ {\isasymin}\ ES\ {\isasymlongrightarrow}\ {\isacharparenleft}X\ {\isacharequal}\ L\ rhs{\isacharparenright}{\isachardoublequoteclose}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   817


\begin{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   818


\isa{rhs{\isacharunderscore}nonempty\ rhs} requires regular expressions occuring in transitional 













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   819


  items of \isa{rhs} does not contain empty string. This is necessary for













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   820


  the application of Arden's transformation to \isa{rhs}.%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   821


\end{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   822


\isamarkuptrue%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   823


\isacommand{definition}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   824


\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   825


\ \ {\isachardoublequoteopen}rhs{\isacharunderscore}nonempty\ rhs\ {\isasymequiv}\ {\isacharparenleft}{\isasymforall}\ Y\ r{\isachardot}\ Trn\ Y\ r\ {\isasymin}\ rhs\ {\isasymlongrightarrow}\ {\isacharbrackleft}{\isacharbrackright}\ {\isasymnotin}\ L\ r{\isacharparenright}{\isachardoublequoteclose}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   826


\begin{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   827


\isa{ardenable\ ES} requires that Arden's transformation is applicable













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   828


  to every equation of equational system \isa{ES}.%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   829


\end{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   830


\isamarkuptrue%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   831


\isacommand{definition}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   832


\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   833


\ \ {\isachardoublequoteopen}ardenable\ ES\ {\isasymequiv}\ {\isasymforall}\ X\ rhs{\isachardot}\ {\isacharparenleft}X{\isacharcomma}\ rhs{\isacharparenright}\ {\isasymin}\ ES\ {\isasymlongrightarrow}\ rhs{\isacharunderscore}nonempty\ rhs{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   834


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   835


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   836


\isacommand{definition}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   837


\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   838


\ \ {\isachardoublequoteopen}non{\isacharunderscore}empty\ ES\ {\isasymequiv}\ {\isasymforall}\ X\ rhs{\isachardot}\ {\isacharparenleft}X{\isacharcomma}\ rhs{\isacharparenright}\ {\isasymin}\ ES\ {\isasymlongrightarrow}\ X\ {\isasymnoteq}\ {\isacharbraceleft}{\isacharbraceright}{\isachardoublequoteclose}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   839


\begin{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   840


The following \isa{finite{\isacharunderscore}rhs\ ES} requires every equation in \isa{rhs} be finite.%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   841


\end{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   842


\isamarkuptrue%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   843


\isacommand{definition}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   844


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   845


\ \ {\isachardoublequoteopen}finite{\isacharunderscore}rhs\ ES\ {\isasymequiv}\ {\isasymforall}\ X\ rhs{\isachardot}\ {\isacharparenleft}X{\isacharcomma}\ rhs{\isacharparenright}\ {\isasymin}\ ES\ {\isasymlongrightarrow}\ finite\ rhs{\isachardoublequoteclose}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   846


\begin{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   847


The following \isa{classes{\isacharunderscore}of\ rhs} returns all variables (or equivalent classes)













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   848


  occuring in \isa{rhs}.%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   849


\end{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   850


\isamarkuptrue%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   851


\isacommand{definition}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   852


\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   853


\ \ {\isachardoublequoteopen}classes{\isacharunderscore}of\ rhs\ {\isasymequiv}\ {\isacharbraceleft}X{\isachardot}\ {\isasymexists}\ r{\isachardot}\ Trn\ X\ r\ {\isasymin}\ rhs{\isacharbraceright}{\isachardoublequoteclose}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   854


\begin{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   855


The following \isa{lefts{\isacharunderscore}of\ ES} returns all variables 













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   856


  defined by equational system \isa{ES}.%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   857


\end{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   858


\isamarkuptrue%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   859


\isacommand{definition}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   860


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   861


\ \ {\isachardoublequoteopen}lefts{\isacharunderscore}of\ ES\ {\isasymequiv}\ {\isacharbraceleft}Y\ {\isacharbar}\ Y\ yrhs{\isachardot}\ {\isacharparenleft}Y{\isacharcomma}\ yrhs{\isacharparenright}\ {\isasymin}\ ES{\isacharbraceright}{\isachardoublequoteclose}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   862


\begin{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   863


The following \isa{self{\isacharunderscore}contained\ ES} requires that every













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   864


  variable occuring on the right hand side of equations is already defined by some













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   865


  equation in \isa{ES}.%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   866


\end{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   867


\isamarkuptrue%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   868


\isacommand{definition}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   869


\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   870


\ \ {\isachardoublequoteopen}self{\isacharunderscore}contained\ ES\ {\isasymequiv}\ {\isasymforall}\ {\isacharparenleft}X{\isacharcomma}\ xrhs{\isacharparenright}\ {\isasymin}\ ES{\isachardot}\ classes{\isacharunderscore}of\ xrhs\ {\isasymsubseteq}\ lefts{\isacharunderscore}of\ ES{\isachardoublequoteclose}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   871


\begin{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   872


The invariant \isa{Inv{\isacharparenleft}ES{\isacharparenright}} is obtained by conjunctioning all the previous













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   873


  defined constaints on \isa{ES}.%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   874


\end{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   875


\isamarkuptrue%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   876


\isacommand{definition}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   877


\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   878


\ \ {\isachardoublequoteopen}Inv\ ES\ {\isasymequiv}\ valid{\isacharunderscore}eqns\ ES\ {\isasymand}\ finite\ ES\ {\isasymand}\ distinct{\isacharunderscore}equas\ ES\ {\isasymand}\ ardenable\ ES\ {\isasymand}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   879


\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ non{\isacharunderscore}empty\ ES\ {\isasymand}\ finite{\isacharunderscore}rhs\ ES\ {\isasymand}\ self{\isacharunderscore}contained\ ES{\isachardoublequoteclose}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   880


\isamarkupsubsection{Proof for this direction%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   881


}













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   882


\isamarkuptrue%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   883


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   884


\begin{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   885


The following are some basic properties of the above definitions.%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   886


\end{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   887


\isamarkuptrue%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   888


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   889


\ L{\isacharunderscore}rhs{\isacharunderscore}union{\isacharunderscore}distrib{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   890


\ \ {\isachardoublequoteopen}\ L\ {\isacharparenleft}A{\isacharcolon}{\isacharcolon}rhs{\isacharunderscore}item\ set{\isacharparenright}\ {\isasymunion}\ L\ B\ {\isacharequal}\ L\ {\isacharparenleft}A\ {\isasymunion}\ B{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   891


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   892


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   893


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   894


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   895


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   896


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   897


\isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   898


\ simp%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   899


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   900


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   901


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   902


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   903


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   904


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   905


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   906


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   907


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   908


\ finite{\isacharunderscore}snd{\isacharunderscore}Trn{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   909


\ \ \isakeyword{assumes}\ finite{\isacharcolon}{\isachardoublequoteopen}finite\ rhs{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   910


\ \ \isakeyword{shows}\ {\isachardoublequoteopen}finite\ {\isacharbraceleft}r\isactrlisub {\isadigit{2}}{\isachardot}\ Trn\ Y\ r\isactrlisub {\isadigit{2}}\ {\isasymin}\ rhs{\isacharbraceright}{\isachardoublequoteclose}\ {\isacharparenleft}\isakeyword{is}\ {\isachardoublequoteopen}finite\ {\isacharquery}B{\isachardoublequoteclose}{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   911


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   912


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   913


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   914


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   915


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   916


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   917


\isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   918


{\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   919


\ \ \isacommand{def}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   920


\ rhs{\isacharprime}\ {\isasymequiv}\ {\isachardoublequoteopen}{\isacharbraceleft}e\ {\isasymin}\ rhs{\isachardot}\ {\isasymexists}\ r{\isachardot}\ e\ {\isacharequal}\ Trn\ Y\ r{\isacharbraceright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   921


\ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   922


\ {\isachardoublequoteopen}{\isacharquery}B\ {\isacharequal}\ {\isacharparenleft}snd\ o\ the{\isacharunderscore}Trn{\isacharparenright}\ {\isacharbackquote}\ rhs{\isacharprime}{\isachardoublequoteclose}\ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   923


\ rhs{\isacharprime}{\isacharunderscore}def\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   924


\ {\isacharparenleft}auto\ simp{\isacharcolon}image{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   925


\ \ \isacommand{moreover}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   926


\ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   927


\ {\isachardoublequoteopen}finite\ rhs{\isacharprime}{\isachardoublequoteclose}\ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   928


\ finite\ rhs{\isacharprime}{\isacharunderscore}def\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   929


\ auto\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   930


\ \ \isacommand{ultimately}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   931


\ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   932


\ {\isacharquery}thesis\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   933


\ simp\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   934


\isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   935


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   936


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   937


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   938


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   939


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   940


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   941


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   942


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   943


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   944


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   945


\ rexp{\isacharunderscore}of{\isacharunderscore}empty{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   946


\ \ \isakeyword{assumes}\ finite{\isacharcolon}{\isachardoublequoteopen}finite\ rhs{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   947


\ \ \isakeyword{and}\ nonempty{\isacharcolon}{\isachardoublequoteopen}rhs{\isacharunderscore}nonempty\ rhs{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   948


\ \ \isakeyword{shows}\ {\isachardoublequoteopen}{\isacharbrackleft}{\isacharbrackright}\ {\isasymnotin}\ L\ {\isacharparenleft}rexp{\isacharunderscore}of\ rhs\ X{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   949


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   950


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   951


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   952


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   953


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   954


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   955


\isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   956


\ finite\ nonempty\ rhs{\isacharunderscore}nonempty{\isacharunderscore}def\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   957


\isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   958


\ {\isacharparenleft}drule{\isacharunderscore}tac\ finite{\isacharunderscore}snd{\isacharunderscore}Trn{\isacharbrackleft}\isakeyword{where}\ Y\ {\isacharequal}\ X{\isacharbrackright}{\isacharcomma}\ auto\ simp{\isacharcolon}rexp{\isacharunderscore}of{\isacharunderscore}def\ items{\isacharunderscore}of{\isacharunderscore}def{\isacharparenright}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   959


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   960


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   961


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   962


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   963


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   964


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   965


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   966


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   967


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   968


\ {\isacharbrackleft}intro{\isacharbang}{\isacharbrackright}{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   969


\ \ {\isachardoublequoteopen}P\ {\isacharparenleft}Trn\ X\ r{\isacharparenright}\ {\isasymLongrightarrow}\ {\isacharparenleft}{\isasymexists}a{\isachardot}\ {\isacharparenleft}{\isasymexists}r{\isachardot}\ a\ {\isacharequal}\ Trn\ X\ r\ {\isasymand}\ P\ a{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   970


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   971


\ %













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   972


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   973


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   974


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   975


\isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   976


\ auto%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   977


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   978


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   979


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   980


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   981


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   982


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   983


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   984


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   985


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   986


\ finite{\isacharunderscore}items{\isacharunderscore}of{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   987


\ \ {\isachardoublequoteopen}finite\ rhs\ {\isasymLongrightarrow}\ finite\ {\isacharparenleft}items{\isacharunderscore}of\ rhs\ X{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   988


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   989


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   990


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   991


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   992


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   993


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   994


\isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   995


\ {\isacharparenleft}auto\ simp{\isacharcolon}items{\isacharunderscore}of{\isacharunderscore}def\ intro{\isacharcolon}finite{\isacharunderscore}subset{\isacharparenright}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   996


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   997


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   998


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




   999


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1000


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1001


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1002


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1003


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1004


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1005


\ lang{\isacharunderscore}of{\isacharunderscore}rexp{\isacharunderscore}of{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1006


\ \ \isakeyword{assumes}\ finite{\isacharcolon}{\isachardoublequoteopen}finite\ rhs{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1007


\ \ \isakeyword{shows}\ {\isachardoublequoteopen}L\ {\isacharparenleft}items{\isacharunderscore}of\ rhs\ X{\isacharparenright}\ {\isacharequal}\ X\ {\isacharsemicolon}{\isacharsemicolon}\ {\isacharparenleft}L\ {\isacharparenleft}rexp{\isacharunderscore}of\ rhs\ X{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1008


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1009


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1010


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1011


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1012


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1013


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1014


\isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1015


\ {\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1016


\ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1017


\ {\isachardoublequoteopen}finite\ {\isacharparenleft}{\isacharparenleft}snd\ {\isasymcirc}\ the{\isacharunderscore}Trn{\isacharparenright}\ {\isacharbackquote}\ items{\isacharunderscore}of\ rhs\ X{\isacharparenright}{\isachardoublequoteclose}\ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1018


\ finite{\isacharunderscore}items{\isacharunderscore}of{\isacharbrackleft}OF\ finite{\isacharbrackright}\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1019


\ auto\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1020


\ \ \isacommand{thus}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1021


\ {\isacharquery}thesis\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1022


\ \ \ \ \isacommand{apply}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1023


\ {\isacharparenleft}auto\ simp{\isacharcolon}rexp{\isacharunderscore}of{\isacharunderscore}def\ Seq{\isacharunderscore}def\ items{\isacharunderscore}of{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1024


\ \ \ \ \isacommand{apply}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1025


\ {\isacharparenleft}rule{\isacharunderscore}tac\ x\ {\isacharequal}\ s{\isadigit{1}}\ \isakeyword{in}\ exI{\isacharcomma}\ rule{\isacharunderscore}tac\ x\ {\isacharequal}\ s{\isadigit{2}}\ \isakeyword{in}\ exI{\isacharcomma}\ auto{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1026


\ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1027


\ {\isacharparenleft}rule{\isacharunderscore}tac\ x{\isacharequal}\ {\isachardoublequoteopen}Trn\ X\ r{\isachardoublequoteclose}\ \isakeyword{in}\ exI{\isacharcomma}\ auto\ simp{\isacharcolon}Seq{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1028


\isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1029


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1030


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1031


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1032


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1033


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1034


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1035


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1036


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1037


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1038


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1039


\ rexp{\isacharunderscore}of{\isacharunderscore}lam{\isacharunderscore}eq{\isacharunderscore}lam{\isacharunderscore}set{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1040


\ \ \isakeyword{assumes}\ finite{\isacharcolon}\ {\isachardoublequoteopen}finite\ rhs{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1041


\ \ \isakeyword{shows}\ {\isachardoublequoteopen}L\ {\isacharparenleft}rexp{\isacharunderscore}of{\isacharunderscore}lam\ rhs{\isacharparenright}\ {\isacharequal}\ L\ {\isacharparenleft}lam{\isacharunderscore}of\ rhs{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1042


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1043


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1044


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1045


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1046


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1047


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1048


\isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1049


\ {\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1050


\ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1051


\ {\isachardoublequoteopen}finite\ {\isacharparenleft}the{\isacharunderscore}r\ {\isacharbackquote}\ {\isacharbraceleft}Lam\ r\ {\isacharbar}r{\isachardot}\ Lam\ r\ {\isasymin}\ rhs{\isacharbraceright}{\isacharparenright}{\isachardoublequoteclose}\ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1052


\ finite\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1053


\ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1054


\ {\isacharparenleft}rule{\isacharunderscore}tac\ finite{\isacharunderscore}imageI{\isacharcomma}\ auto\ intro{\isacharcolon}finite{\isacharunderscore}subset{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1055


\ \ \isacommand{thus}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1056


\ {\isacharquery}thesis\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1057


\ {\isacharparenleft}auto\ simp{\isacharcolon}rexp{\isacharunderscore}of{\isacharunderscore}lam{\isacharunderscore}def\ lam{\isacharunderscore}of{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1058


\isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1059


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1060


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1061


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1062


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1063


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1064


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1065


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1066


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1067


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1068


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1069


\ {\isacharbrackleft}simp{\isacharbrackright}{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1070


\ \ {\isachardoublequoteopen}\ L\ {\isacharparenleft}attach{\isacharunderscore}rexp\ r\ xb{\isacharparenright}\ {\isacharequal}\ L\ xb\ {\isacharsemicolon}{\isacharsemicolon}\ L\ r{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1071


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1072


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1073


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1074


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1075


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1076


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1077


\isacommand{apply}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1078


\ {\isacharparenleft}cases\ xb{\isacharcomma}\ auto\ simp{\isacharcolon}Seq{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1079


\isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1080


\ {\isacharparenleft}rule{\isacharunderscore}tac\ x\ {\isacharequal}\ {\isachardoublequoteopen}s{\isadigit{1}}\ {\isacharat}\ s{\isadigit{1}}a{\isachardoublequoteclose}\ \isakeyword{in}\ exI{\isacharcomma}\ rule{\isacharunderscore}tac\ x\ {\isacharequal}\ s{\isadigit{2}}a\ \isakeyword{in}\ exI{\isacharcomma}auto\ simp{\isacharcolon}Seq{\isacharunderscore}def{\isacharparenright}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1081


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1082


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1083


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1084


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1085


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1086


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1087


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1088


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1089


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1090


\ lang{\isacharunderscore}of{\isacharunderscore}append{\isacharunderscore}rhs{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1091


\ \ {\isachardoublequoteopen}L\ {\isacharparenleft}append{\isacharunderscore}rhs{\isacharunderscore}rexp\ rhs\ r{\isacharparenright}\ {\isacharequal}\ L\ rhs\ {\isacharsemicolon}{\isacharsemicolon}\ L\ r{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1092


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1093


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1094


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1095


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1096


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1097


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1098


\isacommand{apply}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1099


\ {\isacharparenleft}auto\ simp{\isacharcolon}append{\isacharunderscore}rhs{\isacharunderscore}rexp{\isacharunderscore}def\ image{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1100


\isacommand{apply}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1101


\ {\isacharparenleft}auto\ simp{\isacharcolon}Seq{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1102


\isacommand{apply}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1103


\ {\isacharparenleft}rule{\isacharunderscore}tac\ x\ {\isacharequal}\ {\isachardoublequoteopen}L\ xb\ {\isacharsemicolon}{\isacharsemicolon}\ L\ r{\isachardoublequoteclose}\ \isakeyword{in}\ exI{\isacharcomma}\ auto\ simp\ add{\isacharcolon}Seq{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1104


\isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1105


\ {\isacharparenleft}rule{\isacharunderscore}tac\ x\ {\isacharequal}\ {\isachardoublequoteopen}attach{\isacharunderscore}rexp\ r\ xb{\isachardoublequoteclose}\ \isakeyword{in}\ exI{\isacharcomma}\ auto\ simp{\isacharcolon}Seq{\isacharunderscore}def{\isacharparenright}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1106


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1107


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1108


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1109


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1110


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1111


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1112


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1113


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1114


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1115


\ classes{\isacharunderscore}of{\isacharunderscore}union{\isacharunderscore}distrib{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1116


\ \ {\isachardoublequoteopen}classes{\isacharunderscore}of\ A\ {\isasymunion}\ classes{\isacharunderscore}of\ B\ {\isacharequal}\ classes{\isacharunderscore}of\ {\isacharparenleft}A\ {\isasymunion}\ B{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1117


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1118


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1119


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1120


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1121


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1122


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1123


\isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1124


\ {\isacharparenleft}auto\ simp\ add{\isacharcolon}classes{\isacharunderscore}of{\isacharunderscore}def{\isacharparenright}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1125


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1126


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1127


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1128


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1129


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1130


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1131


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1132


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1133


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1134


\ lefts{\isacharunderscore}of{\isacharunderscore}union{\isacharunderscore}distrib{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1135


\ \ {\isachardoublequoteopen}lefts{\isacharunderscore}of\ A\ {\isasymunion}\ lefts{\isacharunderscore}of\ B\ {\isacharequal}\ lefts{\isacharunderscore}of\ {\isacharparenleft}A\ {\isasymunion}\ B{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1136


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1137


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1138


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1139


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1140


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1141


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1142


\isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1143


\ {\isacharparenleft}auto\ simp{\isacharcolon}lefts{\isacharunderscore}of{\isacharunderscore}def{\isacharparenright}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1144


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1145


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1146


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1147


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1148


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1149


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1150


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1151


\begin{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1152


The following several lemmas until \isa{init{\isacharunderscore}ES{\isacharunderscore}satisfy{\isacharunderscore}Inv} are













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1153


  to prove that initial equational system satisfies invariant \isa{Inv}.%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1154


\end{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1155


\isamarkuptrue%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1156


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1157


\ defined{\isacharunderscore}by{\isacharunderscore}str{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1158


\ \ {\isachardoublequoteopen}{\isasymlbrakk}s\ {\isasymin}\ X{\isacharsemicolon}\ X\ {\isasymin}\ UNIV\ {\isacharslash}{\isacharslash}\ {\isacharparenleft}{\isasymapprox}Lang{\isacharparenright}{\isasymrbrakk}\ {\isasymLongrightarrow}\ X\ {\isacharequal}\ {\isacharparenleft}{\isasymapprox}Lang{\isacharparenright}\ {\isacharbackquote}{\isacharbackquote}\ {\isacharbraceleft}s{\isacharbraceright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1159


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1160


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1161


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1162


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1163


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1164


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1165


\isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1166


\ {\isacharparenleft}auto\ simp{\isacharcolon}quotient{\isacharunderscore}def\ Image{\isacharunderscore}def\ str{\isacharunderscore}eq{\isacharunderscore}rel{\isacharunderscore}def{\isacharparenright}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1167


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1168


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1169


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1170


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1171


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1172


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1173


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1174


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1175


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1176


\ every{\isacharunderscore}eqclass{\isacharunderscore}has{\isacharunderscore}transition{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1177


\ \ \isakeyword{assumes}\ has{\isacharunderscore}str{\isacharcolon}\ {\isachardoublequoteopen}s\ {\isacharat}\ {\isacharbrackleft}c{\isacharbrackright}\ {\isasymin}\ X{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1178


\ \ \isakeyword{and}\ \ \ \ \ in{\isacharunderscore}CS{\isacharcolon}\ \ \ {\isachardoublequoteopen}X\ {\isasymin}\ UNIV\ {\isacharslash}{\isacharslash}\ {\isacharparenleft}{\isasymapprox}Lang{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1179


\ \ \isakeyword{obtains}\ Y\ \isakeyword{where}\ {\isachardoublequoteopen}Y\ {\isasymin}\ UNIV\ {\isacharslash}{\isacharslash}\ {\isacharparenleft}{\isasymapprox}Lang{\isacharparenright}{\isachardoublequoteclose}\ \isakeyword{and}\ {\isachardoublequoteopen}Y\ {\isacharsemicolon}{\isacharsemicolon}\ {\isacharbraceleft}{\isacharbrackleft}c{\isacharbrackright}{\isacharbraceright}\ {\isasymsubseteq}\ X{\isachardoublequoteclose}\ \isakeyword{and}\ {\isachardoublequoteopen}s\ {\isasymin}\ Y{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1180


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1181


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1182


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1183


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1184


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1185


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1186


\isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1187


\ {\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1188


\ \ \isacommand{def}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1189


\ Y\ {\isasymequiv}\ {\isachardoublequoteopen}{\isacharparenleft}{\isasymapprox}Lang{\isacharparenright}\ {\isacharbackquote}{\isacharbackquote}\ {\isacharbraceleft}s{\isacharbraceright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1190


\ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1191


\ {\isachardoublequoteopen}Y\ {\isasymin}\ UNIV\ {\isacharslash}{\isacharslash}\ {\isacharparenleft}{\isasymapprox}Lang{\isacharparenright}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1192


\ \ \ \ \isacommand{unfolding}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1193


\ Y{\isacharunderscore}def\ quotient{\isacharunderscore}def\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1194


\ auto\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1195


\ \ \isacommand{moreover}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1196


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1197


\ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1198


\ {\isachardoublequoteopen}X\ {\isacharequal}\ {\isacharparenleft}{\isasymapprox}Lang{\isacharparenright}\ {\isacharbackquote}{\isacharbackquote}\ {\isacharbraceleft}s\ {\isacharat}\ {\isacharbrackleft}c{\isacharbrackright}{\isacharbraceright}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1199


\ \ \ \ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1200


\ has{\isacharunderscore}str\ in{\isacharunderscore}CS\ defined{\isacharunderscore}by{\isacharunderscore}str\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1201


\ blast\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1202


\ \ \isacommand{then}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1203


\ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1204


\ {\isachardoublequoteopen}Y\ {\isacharsemicolon}{\isacharsemicolon}\ {\isacharbraceleft}{\isacharbrackleft}c{\isacharbrackright}{\isacharbraceright}\ {\isasymsubseteq}\ X{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1205


\ \ \ \ \isacommand{unfolding}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1206


\ Y{\isacharunderscore}def\ Image{\isacharunderscore}def\ Seq{\isacharunderscore}def\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1207


\ \ \ \ \isacommand{unfolding}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1208


\ str{\isacharunderscore}eq{\isacharunderscore}rel{\isacharunderscore}def\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1209


\ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1210


\ clarsimp\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1211


\ \ \isacommand{moreover}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1212


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1213


\ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1214


\ {\isachardoublequoteopen}s\ {\isasymin}\ Y{\isachardoublequoteclose}\ \isacommand{unfolding}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1215


\ Y{\isacharunderscore}def\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1216


\ \ \ \ \isacommand{unfolding}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1217


\ Image{\isacharunderscore}def\ str{\isacharunderscore}eq{\isacharunderscore}rel{\isacharunderscore}def\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1218


\ simp\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1219


\ \ \isacommand{ultimately}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1220


\ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1221


\ thesis\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1222


\ {\isacharparenleft}blast\ intro{\isacharcolon}\ that{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1223


\isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1224


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1225


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1226


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1227


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1228


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1229


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1230


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1231


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1232


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1233


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1234


\ l{\isacharunderscore}eq{\isacharunderscore}r{\isacharunderscore}in{\isacharunderscore}eqs{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1235


\ \ \isakeyword{assumes}\ X{\isacharunderscore}in{\isacharunderscore}eqs{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}X{\isacharcomma}\ xrhs{\isacharparenright}\ {\isasymin}\ {\isacharparenleft}eqs\ {\isacharparenleft}UNIV\ {\isacharslash}{\isacharslash}\ {\isacharparenleft}{\isasymapprox}Lang{\isacharparenright}{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1236


\ \ \isakeyword{shows}\ {\isachardoublequoteopen}X\ {\isacharequal}\ L\ xrhs{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1237


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1238


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1239


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1240


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1241


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1242


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1243


\isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1244


\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1245


\ \ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1246


\ {\isachardoublequoteopen}X\ {\isasymsubseteq}\ L\ xrhs{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1247


\ \ \isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1248


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1249


\ \ \ \ \isacommand{fix}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1250


\ x\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1251


\ \ \ \ \isacommand{assume}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1252


\ {\isachardoublequoteopen}{\isacharparenleft}{\isadigit{1}}{\isacharparenright}{\isachardoublequoteclose}{\isacharcolon}\ {\isachardoublequoteopen}x\ {\isasymin}\ X{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1253


\ \ \ \ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1254


\ {\isachardoublequoteopen}x\ {\isasymin}\ L\ xrhs{\isachardoublequoteclose}\ \ \ \ \ \ \ \ \ \ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1255


\ \ \ \ \isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1256


\ {\isacharparenleft}cases\ {\isachardoublequoteopen}x\ {\isacharequal}\ {\isacharbrackleft}{\isacharbrackright}{\isachardoublequoteclose}{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1257


\ \ \ \ \ \ \isacommand{assume}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1258


\ empty{\isacharcolon}\ {\isachardoublequoteopen}x\ {\isacharequal}\ {\isacharbrackleft}{\isacharbrackright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1259


\ \ \ \ \ \ \isacommand{thus}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1260


\ {\isacharquery}thesis\ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1261


\ X{\isacharunderscore}in{\isacharunderscore}eqs\ {\isachardoublequoteopen}{\isacharparenleft}{\isadigit{1}}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1262


\ \ \ \ \ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1263


\ {\isacharparenleft}auto\ simp{\isacharcolon}eqs{\isacharunderscore}def\ init{\isacharunderscore}rhs{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1264


\ \ \ \ \isacommand{next}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1265


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1266


\ \ \ \ \ \ \isacommand{assume}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1267


\ not{\isacharunderscore}empty{\isacharcolon}\ {\isachardoublequoteopen}x\ {\isasymnoteq}\ {\isacharbrackleft}{\isacharbrackright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1268


\ \ \ \ \ \ \isacommand{then}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1269


\ \isacommand{obtain}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1270


\ clist\ c\ \isakeyword{where}\ decom{\isacharcolon}\ {\isachardoublequoteopen}x\ {\isacharequal}\ clist\ {\isacharat}\ {\isacharbrackleft}c{\isacharbrackright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1271


\ \ \ \ \ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1272


\ {\isacharparenleft}case{\isacharunderscore}tac\ x\ rule{\isacharcolon}rev{\isacharunderscore}cases{\isacharcomma}\ auto{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1273


\ \ \ \ \ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1274


\ {\isachardoublequoteopen}X\ {\isasymin}\ UNIV\ {\isacharslash}{\isacharslash}\ {\isacharparenleft}{\isasymapprox}Lang{\isacharparenright}{\isachardoublequoteclose}\ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1275


\ X{\isacharunderscore}in{\isacharunderscore}eqs\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1276


\ {\isacharparenleft}auto\ simp{\isacharcolon}eqs{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1277


\ \ \ \ \ \ \isacommand{then}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1278


\ \isacommand{obtain}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1279


\ Y\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1280


\ \ \ \ \ \ \ \ \isakeyword{where}\ {\isachardoublequoteopen}Y\ {\isasymin}\ UNIV\ {\isacharslash}{\isacharslash}\ {\isacharparenleft}{\isasymapprox}Lang{\isacharparenright}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1281


\ \ \ \ \ \ \ \ \isakeyword{and}\ {\isachardoublequoteopen}Y\ {\isacharsemicolon}{\isacharsemicolon}\ {\isacharbraceleft}{\isacharbrackleft}c{\isacharbrackright}{\isacharbraceright}\ {\isasymsubseteq}\ X{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1282


\ \ \ \ \ \ \ \ \isakeyword{and}\ {\isachardoublequoteopen}clist\ {\isasymin}\ Y{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1283


\ \ \ \ \ \ \ \ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1284


\ decom\ {\isachardoublequoteopen}{\isacharparenleft}{\isadigit{1}}{\isacharparenright}{\isachardoublequoteclose}\ every{\isacharunderscore}eqclass{\isacharunderscore}has{\isacharunderscore}transition\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1285


\ blast\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1286


\ \ \ \ \ \ \isacommand{hence}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1287


\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1288


\ \ \ \ \ \ \ \ {\isachardoublequoteopen}x\ {\isasymin}\ L\ {\isacharbraceleft}Trn\ Y\ {\isacharparenleft}CHAR\ c{\isacharparenright}{\isacharbar}\ Y\ c{\isachardot}\ Y\ {\isasymin}\ UNIV\ {\isacharslash}{\isacharslash}\ {\isacharparenleft}{\isasymapprox}Lang{\isacharparenright}\ {\isasymand}\ Y\ {\isacharsemicolon}{\isacharsemicolon}\ {\isacharbraceleft}{\isacharbrackleft}c{\isacharbrackright}{\isacharbraceright}\ {\isasymsubseteq}\ X{\isacharbraceright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1289


\ \ \ \ \ \ \ \ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1290


\ {\isachardoublequoteopen}{\isacharparenleft}{\isadigit{1}}{\isacharparenright}{\isachardoublequoteclose}\ decom\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1291


\ \ \ \ \ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1292


\ {\isacharparenleft}simp{\isacharcomma}\ rule{\isacharunderscore}tac\ x\ {\isacharequal}\ {\isachardoublequoteopen}Trn\ Y\ {\isacharparenleft}CHAR\ c{\isacharparenright}{\isachardoublequoteclose}\ \isakeyword{in}\ exI{\isacharcomma}\ simp\ add{\isacharcolon}Seq{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1293


\ \ \ \ \ \ \isacommand{thus}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1294


\ {\isacharquery}thesis\ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1295


\ X{\isacharunderscore}in{\isacharunderscore}eqs\ {\isachardoublequoteopen}{\isacharparenleft}{\isadigit{1}}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1296


\ \ \ \ \ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1297


\ {\isacharparenleft}simp\ add{\isacharcolon}eqs{\isacharunderscore}def\ init{\isacharunderscore}rhs{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1298


\ \ \ \ \isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1299


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1300


\ \ \isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1301


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1302


\isacommand{next}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1303


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1304


\ \ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1305


\ {\isachardoublequoteopen}L\ xrhs\ {\isasymsubseteq}\ X{\isachardoublequoteclose}\ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1306


\ X{\isacharunderscore}in{\isacharunderscore}eqs\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1307


\ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1308


\ {\isacharparenleft}auto\ simp{\isacharcolon}eqs{\isacharunderscore}def\ init{\isacharunderscore}rhs{\isacharunderscore}def{\isacharparenright}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1309


\isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1310


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1311


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1312


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1313


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1314


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1315


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1316


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1317


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1318


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1319


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1320


\ finite{\isacharunderscore}init{\isacharunderscore}rhs{\isacharcolon}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1321


\ \ \isakeyword{assumes}\ finite{\isacharcolon}\ {\isachardoublequoteopen}finite\ CS{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1322


\ \ \isakeyword{shows}\ {\isachardoublequoteopen}finite\ {\isacharparenleft}init{\isacharunderscore}rhs\ CS\ X{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1323


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1324


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1325


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1326


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1327


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1328


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1329


\isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1330


{\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1331


\ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1332


\ {\isachardoublequoteopen}finite\ {\isacharbraceleft}Trn\ Y\ {\isacharparenleft}CHAR\ c{\isacharparenright}\ {\isacharbar}Y\ c{\isachardot}\ Y\ {\isasymin}\ CS\ {\isasymand}\ Y\ {\isacharsemicolon}{\isacharsemicolon}\ {\isacharbraceleft}{\isacharbrackleft}c{\isacharbrackright}{\isacharbraceright}\ {\isasymsubseteq}\ X{\isacharbraceright}{\isachardoublequoteclose}\ {\isacharparenleft}\isakeyword{is}\ {\isachardoublequoteopen}finite\ {\isacharquery}A{\isachardoublequoteclose}{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1333


\ \ \isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1334


\ {\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1335


\ \ \ \ \isacommand{def}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1336


\ S\ {\isasymequiv}\ {\isachardoublequoteopen}{\isacharbraceleft}{\isacharparenleft}Y{\isacharcomma}\ c{\isacharparenright}{\isacharbar}\ Y\ c{\isachardot}\ Y\ {\isasymin}\ CS\ {\isasymand}\ Y\ {\isacharsemicolon}{\isacharsemicolon}\ {\isacharbraceleft}{\isacharbrackleft}c{\isacharbrackright}{\isacharbraceright}\ {\isasymsubseteq}\ X{\isacharbraceright}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1337


\ \ \ \ \isacommand{def}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1338


\ h\ {\isasymequiv}\ {\isachardoublequoteopen}{\isasymlambda}\ {\isacharparenleft}Y{\isacharcomma}\ c{\isacharparenright}{\isachardot}\ Trn\ Y\ {\isacharparenleft}CHAR\ c{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1339


\ \ \ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1340


\ {\isachardoublequoteopen}finite\ {\isacharparenleft}CS\ {\isasymtimes}\ {\isacharparenleft}UNIV{\isacharcolon}{\isacharcolon}char\ set{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1341


\ finite\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1342


\ auto\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1343


\ \ \ \ \isacommand{hence}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1344


\ {\isachardoublequoteopen}finite\ S{\isachardoublequoteclose}\ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1345


\ S{\isacharunderscore}def\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1346


\ \ \ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1347


\ {\isacharparenleft}rule{\isacharunderscore}tac\ B\ {\isacharequal}\ {\isachardoublequoteopen}CS\ {\isasymtimes}\ UNIV{\isachardoublequoteclose}\ \isakeyword{in}\ finite{\isacharunderscore}subset{\isacharcomma}\ auto{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1348


\ \ \ \ \isacommand{moreover}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1349


\ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1350


\ {\isachardoublequoteopen}{\isacharquery}A\ {\isacharequal}\ h\ {\isacharbackquote}\ S{\isachardoublequoteclose}\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1351


\ {\isacharparenleft}auto\ simp{\isacharcolon}\ S{\isacharunderscore}def\ h{\isacharunderscore}def\ image{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1352


\ \ \ \ \isacommand{ultimately}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1353


\ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1354


\ {\isacharquery}thesis\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1355


\ \ \ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1356


\ auto\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1357


\ \ \isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1358


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1359


\ \ \isacommand{thus}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1360


\ {\isacharquery}thesis\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1361


\ {\isacharparenleft}simp\ add{\isacharcolon}init{\isacharunderscore}rhs{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1362


\isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1363


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1364


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1365


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1366


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1367


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1368


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1369


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1370


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1371


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1372


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1373


\ init{\isacharunderscore}ES{\isacharunderscore}satisfy{\isacharunderscore}Inv{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1374


\ \ \isakeyword{assumes}\ finite{\isacharunderscore}CS{\isacharcolon}\ {\isachardoublequoteopen}finite\ {\isacharparenleft}UNIV\ {\isacharslash}{\isacharslash}\ {\isacharparenleft}{\isasymapprox}Lang{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1375


\ \ \isakeyword{shows}\ {\isachardoublequoteopen}Inv\ {\isacharparenleft}eqs\ {\isacharparenleft}UNIV\ {\isacharslash}{\isacharslash}\ {\isacharparenleft}{\isasymapprox}Lang{\isacharparenright}{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1376


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1377


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1378


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1379


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1380


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1381


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1382


\isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1383


\ {\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1384


\ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1385


\ {\isachardoublequoteopen}finite\ {\isacharparenleft}eqs\ {\isacharparenleft}UNIV\ {\isacharslash}{\isacharslash}\ {\isacharparenleft}{\isasymapprox}Lang{\isacharparenright}{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1386


\ finite{\isacharunderscore}CS\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1387


\ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1388


\ {\isacharparenleft}simp\ add{\isacharcolon}eqs{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1389


\ \ \isacommand{moreover}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1390


\ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1391


\ {\isachardoublequoteopen}distinct{\isacharunderscore}equas\ {\isacharparenleft}eqs\ {\isacharparenleft}UNIV\ {\isacharslash}{\isacharslash}\ {\isacharparenleft}{\isasymapprox}Lang{\isacharparenright}{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\ \ \ \ \ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1392


\ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1393


\ {\isacharparenleft}simp\ add{\isacharcolon}distinct{\isacharunderscore}equas{\isacharunderscore}def\ eqs{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1394


\ \ \isacommand{moreover}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1395


\ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1396


\ {\isachardoublequoteopen}ardenable\ {\isacharparenleft}eqs\ {\isacharparenleft}UNIV\ {\isacharslash}{\isacharslash}\ {\isacharparenleft}{\isasymapprox}Lang{\isacharparenright}{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1397


\ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1398


\ {\isacharparenleft}auto\ simp\ add{\isacharcolon}ardenable{\isacharunderscore}def\ eqs{\isacharunderscore}def\ init{\isacharunderscore}rhs{\isacharunderscore}def\ rhs{\isacharunderscore}nonempty{\isacharunderscore}def\ del{\isacharcolon}L{\isacharunderscore}rhs{\isachardot}simps{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1399


\ \ \isacommand{moreover}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1400


\ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1401


\ {\isachardoublequoteopen}valid{\isacharunderscore}eqns\ {\isacharparenleft}eqs\ {\isacharparenleft}UNIV\ {\isacharslash}{\isacharslash}\ {\isacharparenleft}{\isasymapprox}Lang{\isacharparenright}{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1402


\ \ \ \ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1403


\ l{\isacharunderscore}eq{\isacharunderscore}r{\isacharunderscore}in{\isacharunderscore}eqs\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1404


\ {\isacharparenleft}simp\ add{\isacharcolon}valid{\isacharunderscore}eqns{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1405


\ \ \isacommand{moreover}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1406


\ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1407


\ {\isachardoublequoteopen}non{\isacharunderscore}empty\ {\isacharparenleft}eqs\ {\isacharparenleft}UNIV\ {\isacharslash}{\isacharslash}\ {\isacharparenleft}{\isasymapprox}Lang{\isacharparenright}{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1408


\ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1409


\ {\isacharparenleft}auto\ simp{\isacharcolon}non{\isacharunderscore}empty{\isacharunderscore}def\ eqs{\isacharunderscore}def\ quotient{\isacharunderscore}def\ Image{\isacharunderscore}def\ str{\isacharunderscore}eq{\isacharunderscore}rel{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1410


\ \ \isacommand{moreover}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1411


\ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1412


\ {\isachardoublequoteopen}finite{\isacharunderscore}rhs\ {\isacharparenleft}eqs\ {\isacharparenleft}UNIV\ {\isacharslash}{\isacharslash}\ {\isacharparenleft}{\isasymapprox}Lang{\isacharparenright}{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1413


\ \ \ \ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1414


\ finite{\isacharunderscore}init{\isacharunderscore}rhs{\isacharbrackleft}OF\ finite{\isacharunderscore}CS{\isacharbrackright}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1415


\ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1416


\ {\isacharparenleft}auto\ simp{\isacharcolon}finite{\isacharunderscore}rhs{\isacharunderscore}def\ eqs{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1417


\ \ \isacommand{moreover}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1418


\ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1419


\ {\isachardoublequoteopen}self{\isacharunderscore}contained\ {\isacharparenleft}eqs\ {\isacharparenleft}UNIV\ {\isacharslash}{\isacharslash}\ {\isacharparenleft}{\isasymapprox}Lang{\isacharparenright}{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1420


\ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1421


\ {\isacharparenleft}auto\ simp{\isacharcolon}self{\isacharunderscore}contained{\isacharunderscore}def\ eqs{\isacharunderscore}def\ init{\isacharunderscore}rhs{\isacharunderscore}def\ classes{\isacharunderscore}of{\isacharunderscore}def\ lefts{\isacharunderscore}of{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1422


\ \ \isacommand{ultimately}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1423


\ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1424


\ {\isacharquery}thesis\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1425


\ {\isacharparenleft}simp\ add{\isacharcolon}Inv{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1426


\isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1427


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1428


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1429


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1430


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1431


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1432


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1433


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1434


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1435


\begin{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1436


From this point until \isa{iteration{\isacharunderscore}step}, we are trying to prove 













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1437


  that there exists iteration steps which keep \isa{Inv{\isacharparenleft}ES{\isacharparenright}} while













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1438


  decreasing the size of \isa{ES} with every iteration.%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1439


\end{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1440


\isamarkuptrue%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1441


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1442


\ arden{\isacharunderscore}variate{\isacharunderscore}keeps{\isacharunderscore}eq{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1443


\ \ \isakeyword{assumes}\ l{\isacharunderscore}eq{\isacharunderscore}r{\isacharcolon}\ {\isachardoublequoteopen}X\ {\isacharequal}\ L\ rhs{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1444


\ \ \isakeyword{and}\ not{\isacharunderscore}empty{\isacharcolon}\ {\isachardoublequoteopen}{\isacharbrackleft}{\isacharbrackright}\ {\isasymnotin}\ L\ {\isacharparenleft}rexp{\isacharunderscore}of\ rhs\ X{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1445


\ \ \isakeyword{and}\ finite{\isacharcolon}\ {\isachardoublequoteopen}finite\ rhs{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1446


\ \ \isakeyword{shows}\ {\isachardoublequoteopen}X\ {\isacharequal}\ L\ {\isacharparenleft}arden{\isacharunderscore}variate\ X\ rhs{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1447


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1448


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1449


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1450


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1451


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1452


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1453


\isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1454


\ {\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1455


\ \ \isacommand{def}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1456


\ A\ {\isasymequiv}\ {\isachardoublequoteopen}L\ {\isacharparenleft}rexp{\isacharunderscore}of\ rhs\ X{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1457


\ \ \isacommand{def}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1458


\ b\ {\isasymequiv}\ {\isachardoublequoteopen}rhs\ {\isacharminus}\ items{\isacharunderscore}of\ rhs\ X{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1459


\ \ \isacommand{def}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1460


\ B\ {\isasymequiv}\ {\isachardoublequoteopen}L\ b{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1461


\ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1462


\ {\isachardoublequoteopen}X\ {\isacharequal}\ B\ {\isacharsemicolon}{\isacharsemicolon}\ A{\isasymstar}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1463


\ \ \isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1464


{\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1465


\ \ \ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1466


\ {\isachardoublequoteopen}rhs\ {\isacharequal}\ items{\isacharunderscore}of\ rhs\ X\ {\isasymunion}\ b{\isachardoublequoteclose}\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1467


\ {\isacharparenleft}auto\ simp{\isacharcolon}b{\isacharunderscore}def\ items{\isacharunderscore}of{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1468


\ \ \ \ \isacommand{hence}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1469


\ {\isachardoublequoteopen}L\ rhs\ {\isacharequal}\ L{\isacharparenleft}items{\isacharunderscore}of\ rhs\ X\ {\isasymunion}\ b{\isacharparenright}{\isachardoublequoteclose}\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1470


\ simp\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1471


\ \ \ \ \isacommand{hence}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1472


\ {\isachardoublequoteopen}L\ rhs\ {\isacharequal}\ L{\isacharparenleft}items{\isacharunderscore}of\ rhs\ X{\isacharparenright}\ {\isasymunion}\ B{\isachardoublequoteclose}\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1473


\ {\isacharparenleft}simp\ only{\isacharcolon}L{\isacharunderscore}rhs{\isacharunderscore}union{\isacharunderscore}distrib\ B{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1474


\ \ \ \ \isacommand{with}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1475


\ lang{\isacharunderscore}of{\isacharunderscore}rexp{\isacharunderscore}of\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1476


\ \ \ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1477


\ {\isachardoublequoteopen}L\ rhs\ {\isacharequal}\ X\ {\isacharsemicolon}{\isacharsemicolon}\ A\ {\isasymunion}\ B\ {\isachardoublequoteclose}\ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1478


\ finite\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1479


\ {\isacharparenleft}simp\ only{\isacharcolon}B{\isacharunderscore}def\ b{\isacharunderscore}def\ A{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1480


\ \ \ \ \isacommand{thus}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1481


\ {\isacharquery}thesis\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1482


\ \ \ \ \ \ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1483


\ l{\isacharunderscore}eq{\isacharunderscore}r\ not{\isacharunderscore}empty\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1484


\ \ \ \ \ \ \isacommand{apply}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1485


\ {\isacharparenleft}drule{\isacharunderscore}tac\ B\ {\isacharequal}\ B\ \isakeyword{and}\ X\ {\isacharequal}\ X\ \isakeyword{in}\ ardens{\isacharunderscore}revised{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1486


\ \ \ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1487


\ {\isacharparenleft}auto\ simp{\isacharcolon}A{\isacharunderscore}def\ simp\ del{\isacharcolon}L{\isacharunderscore}rhs{\isachardot}simps{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1488


\ \ \isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1489


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1490


\ \ \isacommand{moreover}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1491


\ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1492


\ {\isachardoublequoteopen}L\ {\isacharparenleft}arden{\isacharunderscore}variate\ X\ rhs{\isacharparenright}\ {\isacharequal}\ {\isacharparenleft}B\ {\isacharsemicolon}{\isacharsemicolon}\ A{\isasymstar}{\isacharparenright}{\isachardoublequoteclose}\ {\isacharparenleft}\isakeyword{is}\ {\isachardoublequoteopen}{\isacharquery}L\ {\isacharequal}\ {\isacharquery}R{\isachardoublequoteclose}{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1493


\ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1494


\ {\isacharparenleft}simp\ only{\isacharcolon}arden{\isacharunderscore}variate{\isacharunderscore}def\ L{\isacharunderscore}rhs{\isacharunderscore}union{\isacharunderscore}distrib\ lang{\isacharunderscore}of{\isacharunderscore}append{\isacharunderscore}rhs\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1495


\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ B{\isacharunderscore}def\ A{\isacharunderscore}def\ b{\isacharunderscore}def\ L{\isacharunderscore}rexp{\isachardot}simps\ seq{\isacharunderscore}union{\isacharunderscore}distrib{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1496


\ \ \ \isacommand{ultimately}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1497


\ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1498


\ {\isacharquery}thesis\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1499


\ simp\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1500


\isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1501


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1502


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1503


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1504


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1505


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1506


\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1507


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1508


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1509


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1510


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1511


\ append{\isacharunderscore}keeps{\isacharunderscore}finite{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1512


\ \ {\isachardoublequoteopen}finite\ rhs\ {\isasymLongrightarrow}\ finite\ {\isacharparenleft}append{\isacharunderscore}rhs{\isacharunderscore}rexp\ rhs\ r{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1513


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1514


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1515


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1516


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1517


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1518


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1519


\isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1520


\ {\isacharparenleft}auto\ simp{\isacharcolon}append{\isacharunderscore}rhs{\isacharunderscore}rexp{\isacharunderscore}def{\isacharparenright}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1521


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1522


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1523


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1524


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1525


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1526


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1527


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1528


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1529


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1530


\ arden{\isacharunderscore}variate{\isacharunderscore}keeps{\isacharunderscore}finite{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1531


\ \ {\isachardoublequoteopen}finite\ rhs\ {\isasymLongrightarrow}\ finite\ {\isacharparenleft}arden{\isacharunderscore}variate\ X\ rhs{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1532


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1533


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1534


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1535


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1536


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1537


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1538


\isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1539


\ {\isacharparenleft}auto\ simp{\isacharcolon}arden{\isacharunderscore}variate{\isacharunderscore}def\ append{\isacharunderscore}keeps{\isacharunderscore}finite{\isacharparenright}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1540


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1541


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1542


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1543


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1544


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1545


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1546


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1547


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1548


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1549


\ append{\isacharunderscore}keeps{\isacharunderscore}nonempty{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1550


\ \ {\isachardoublequoteopen}rhs{\isacharunderscore}nonempty\ rhs\ {\isasymLongrightarrow}\ rhs{\isacharunderscore}nonempty\ {\isacharparenleft}append{\isacharunderscore}rhs{\isacharunderscore}rexp\ rhs\ r{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1551


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1552


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1553


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1554


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1555


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1556


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1557


\isacommand{apply}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1558


\ {\isacharparenleft}auto\ simp{\isacharcolon}rhs{\isacharunderscore}nonempty{\isacharunderscore}def\ append{\isacharunderscore}rhs{\isacharunderscore}rexp{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1559


\isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1560


\ {\isacharparenleft}case{\isacharunderscore}tac\ x{\isacharcomma}\ auto\ simp{\isacharcolon}Seq{\isacharunderscore}def{\isacharparenright}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1561


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1562


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1563


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1564


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1565


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1566


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1567


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1568


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1569


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1570


\ nonempty{\isacharunderscore}set{\isacharunderscore}sub{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1571


\ \ {\isachardoublequoteopen}rhs{\isacharunderscore}nonempty\ rhs\ {\isasymLongrightarrow}\ rhs{\isacharunderscore}nonempty\ {\isacharparenleft}rhs\ {\isacharminus}\ A{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1572


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1573


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1574


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1575


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1576


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1577


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1578


\isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1579


\ {\isacharparenleft}auto\ simp{\isacharcolon}rhs{\isacharunderscore}nonempty{\isacharunderscore}def{\isacharparenright}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1580


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1581


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1582


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1583


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1584


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1585


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1586


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1587


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1588


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1589


\ nonempty{\isacharunderscore}set{\isacharunderscore}union{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1590


\ \ {\isachardoublequoteopen}{\isasymlbrakk}rhs{\isacharunderscore}nonempty\ rhs{\isacharsemicolon}\ rhs{\isacharunderscore}nonempty\ rhs{\isacharprime}{\isasymrbrakk}\ {\isasymLongrightarrow}\ rhs{\isacharunderscore}nonempty\ {\isacharparenleft}rhs\ {\isasymunion}\ rhs{\isacharprime}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1591


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1592


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1593


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1594


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1595


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1596


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1597


\isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1598


\ {\isacharparenleft}auto\ simp{\isacharcolon}rhs{\isacharunderscore}nonempty{\isacharunderscore}def{\isacharparenright}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1599


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1600


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1601


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1602


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1603


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1604


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1605


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1606


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1607


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1608


\ arden{\isacharunderscore}variate{\isacharunderscore}keeps{\isacharunderscore}nonempty{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1609


\ \ {\isachardoublequoteopen}rhs{\isacharunderscore}nonempty\ rhs\ {\isasymLongrightarrow}\ rhs{\isacharunderscore}nonempty\ {\isacharparenleft}arden{\isacharunderscore}variate\ X\ rhs{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1610


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1611


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1612


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1613


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1614


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1615


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1616


\isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1617


\ {\isacharparenleft}simp\ only{\isacharcolon}arden{\isacharunderscore}variate{\isacharunderscore}def\ append{\isacharunderscore}keeps{\isacharunderscore}nonempty\ nonempty{\isacharunderscore}set{\isacharunderscore}sub{\isacharparenright}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1618


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1619


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1620


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1621


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1622


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1623


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1624


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1625


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1626


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1627


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1628


\ rhs{\isacharunderscore}subst{\isacharunderscore}keeps{\isacharunderscore}nonempty{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1629


\ \ {\isachardoublequoteopen}{\isasymlbrakk}rhs{\isacharunderscore}nonempty\ rhs{\isacharsemicolon}\ rhs{\isacharunderscore}nonempty\ xrhs{\isasymrbrakk}\ {\isasymLongrightarrow}\ rhs{\isacharunderscore}nonempty\ {\isacharparenleft}rhs{\isacharunderscore}subst\ rhs\ X\ xrhs{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1630


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1631


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1632


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1633


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1634


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1635


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1636


\isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1637


\ {\isacharparenleft}simp\ only{\isacharcolon}rhs{\isacharunderscore}subst{\isacharunderscore}def\ append{\isacharunderscore}keeps{\isacharunderscore}nonempty\ \ nonempty{\isacharunderscore}set{\isacharunderscore}union\ nonempty{\isacharunderscore}set{\isacharunderscore}sub{\isacharparenright}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1638


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1639


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1640


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1641


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1642


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1643


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1644


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1645


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1646


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1647


\ rhs{\isacharunderscore}subst{\isacharunderscore}keeps{\isacharunderscore}eq{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1648


\ \ \isakeyword{assumes}\ substor{\isacharcolon}\ {\isachardoublequoteopen}X\ {\isacharequal}\ L\ xrhs{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1649


\ \ \isakeyword{and}\ finite{\isacharcolon}\ {\isachardoublequoteopen}finite\ rhs{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1650


\ \ \isakeyword{shows}\ {\isachardoublequoteopen}L\ {\isacharparenleft}rhs{\isacharunderscore}subst\ rhs\ X\ xrhs{\isacharparenright}\ {\isacharequal}\ L\ rhs{\isachardoublequoteclose}\ {\isacharparenleft}\isakeyword{is}\ {\isachardoublequoteopen}{\isacharquery}Left\ {\isacharequal}\ {\isacharquery}Right{\isachardoublequoteclose}{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1651


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1652


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1653


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1654


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1655


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1656


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1657


\isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1658


{\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1659


\ \ \isacommand{def}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1660


\ A\ {\isasymequiv}\ {\isachardoublequoteopen}L\ {\isacharparenleft}rhs\ {\isacharminus}\ items{\isacharunderscore}of\ rhs\ X{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1661


\ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1662


\ {\isachardoublequoteopen}{\isacharquery}Left\ {\isacharequal}\ A\ {\isasymunion}\ L\ {\isacharparenleft}append{\isacharunderscore}rhs{\isacharunderscore}rexp\ xrhs\ {\isacharparenleft}rexp{\isacharunderscore}of\ rhs\ X{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1663


\ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1664


\ {\isacharparenleft}simp\ only{\isacharcolon}rhs{\isacharunderscore}subst{\isacharunderscore}def\ L{\isacharunderscore}rhs{\isacharunderscore}union{\isacharunderscore}distrib\ A{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1665


\ \ \isacommand{moreover}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1666


\ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1667


\ {\isachardoublequoteopen}{\isacharquery}Right\ {\isacharequal}\ A\ {\isasymunion}\ L\ {\isacharparenleft}items{\isacharunderscore}of\ rhs\ X{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1668


\ \ \isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1669


{\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1670


\ \ \ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1671


\ {\isachardoublequoteopen}rhs\ {\isacharequal}\ {\isacharparenleft}rhs\ {\isacharminus}\ items{\isacharunderscore}of\ rhs\ X{\isacharparenright}\ {\isasymunion}\ {\isacharparenleft}items{\isacharunderscore}of\ rhs\ X{\isacharparenright}{\isachardoublequoteclose}\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1672


\ {\isacharparenleft}auto\ simp{\isacharcolon}items{\isacharunderscore}of{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1673


\ \ \ \ \isacommand{thus}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1674


\ {\isacharquery}thesis\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1675


\ {\isacharparenleft}simp\ only{\isacharcolon}L{\isacharunderscore}rhs{\isacharunderscore}union{\isacharunderscore}distrib\ A{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1676


\ \ \isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1677


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1678


\ \ \isacommand{moreover}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1679


\ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1680


\ {\isachardoublequoteopen}L\ {\isacharparenleft}append{\isacharunderscore}rhs{\isacharunderscore}rexp\ xrhs\ {\isacharparenleft}rexp{\isacharunderscore}of\ rhs\ X{\isacharparenright}{\isacharparenright}\ {\isacharequal}\ L\ {\isacharparenleft}items{\isacharunderscore}of\ rhs\ X{\isacharparenright}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1681


\ \ \ \ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1682


\ finite\ substor\ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1683


\ {\isacharparenleft}simp\ only{\isacharcolon}lang{\isacharunderscore}of{\isacharunderscore}append{\isacharunderscore}rhs\ lang{\isacharunderscore}of{\isacharunderscore}rexp{\isacharunderscore}of{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1684


\ \ \isacommand{ultimately}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1685


\ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1686


\ {\isacharquery}thesis\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1687


\ simp\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1688


\isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1689


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1690


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1691


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1692


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1693


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1694


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1695


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1696


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1697


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1698


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1699


\ rhs{\isacharunderscore}subst{\isacharunderscore}keeps{\isacharunderscore}finite{\isacharunderscore}rhs{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1700


\ \ {\isachardoublequoteopen}{\isasymlbrakk}finite\ rhs{\isacharsemicolon}\ finite\ yrhs{\isasymrbrakk}\ {\isasymLongrightarrow}\ finite\ {\isacharparenleft}rhs{\isacharunderscore}subst\ rhs\ Y\ yrhs{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1701


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1702


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1703


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1704


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1705


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1706


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1707


\isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1708


\ {\isacharparenleft}auto\ simp{\isacharcolon}rhs{\isacharunderscore}subst{\isacharunderscore}def\ append{\isacharunderscore}keeps{\isacharunderscore}finite{\isacharparenright}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1709


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1710


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1711


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1712


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1713


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1714


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1715


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1716


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1717


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1718


\ eqs{\isacharunderscore}subst{\isacharunderscore}keeps{\isacharunderscore}finite{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1719


\ \ \isakeyword{assumes}\ finite{\isacharcolon}{\isachardoublequoteopen}finite\ {\isacharparenleft}ES{\isacharcolon}{\isacharcolon}\ {\isacharparenleft}string\ set\ {\isasymtimes}\ rhs{\isacharunderscore}item\ set{\isacharparenright}\ set{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1720


\ \ \isakeyword{shows}\ {\isachardoublequoteopen}finite\ {\isacharparenleft}eqs{\isacharunderscore}subst\ ES\ Y\ yrhs{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1721


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1722


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1723


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1724


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1725


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1726


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1727


\isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1728


\ {\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1729


\ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1730


\ {\isachardoublequoteopen}finite\ {\isacharbraceleft}{\isacharparenleft}Ya{\isacharcomma}\ rhs{\isacharunderscore}subst\ yrhsa\ Y\ yrhs{\isacharparenright}\ {\isacharbar}Ya\ yrhsa{\isachardot}\ {\isacharparenleft}Ya{\isacharcomma}\ yrhsa{\isacharparenright}\ {\isasymin}\ ES{\isacharbraceright}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1731


\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {\isacharparenleft}\isakeyword{is}\ {\isachardoublequoteopen}finite\ {\isacharquery}A{\isachardoublequoteclose}{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1732


\ \ \isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1733


{\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1734


\ \ \ \ \isacommand{def}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1735


\ eqns{\isacharprime}\ {\isasymequiv}\ {\isachardoublequoteopen}{\isacharbraceleft}{\isacharparenleft}{\isacharparenleft}Ya{\isacharcolon}{\isacharcolon}string\ set{\isacharparenright}{\isacharcomma}\ yrhsa{\isacharparenright}{\isacharbar}\ Ya\ yrhsa{\isachardot}\ {\isacharparenleft}Ya{\isacharcomma}\ yrhsa{\isacharparenright}\ {\isasymin}\ ES{\isacharbraceright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1736


\ \ \ \ \isacommand{def}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1737


\ h\ {\isasymequiv}\ {\isachardoublequoteopen}{\isasymlambda}\ {\isacharparenleft}{\isacharparenleft}Ya{\isacharcolon}{\isacharcolon}string\ set{\isacharparenright}{\isacharcomma}\ yrhsa{\isacharparenright}{\isachardot}\ {\isacharparenleft}Ya{\isacharcomma}\ rhs{\isacharunderscore}subst\ yrhsa\ Y\ yrhs{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1738


\ \ \ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1739


\ {\isachardoublequoteopen}finite\ {\isacharparenleft}h\ {\isacharbackquote}\ eqns{\isacharprime}{\isacharparenright}{\isachardoublequoteclose}\ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1740


\ finite\ h{\isacharunderscore}def\ eqns{\isacharprime}{\isacharunderscore}def\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1741


\ auto\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1742


\ \ \ \ \isacommand{moreover}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1743


\ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1744


\ {\isachardoublequoteopen}{\isacharquery}A\ {\isacharequal}\ h\ {\isacharbackquote}\ eqns{\isacharprime}{\isachardoublequoteclose}\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1745


\ {\isacharparenleft}auto\ simp{\isacharcolon}h{\isacharunderscore}def\ eqns{\isacharprime}{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1746


\ \ \ \ \isacommand{ultimately}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1747


\ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1748


\ {\isacharquery}thesis\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1749


\ auto\ \ \ \ \ \ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1750


\ \ \isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1751


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1752


\ \ \isacommand{thus}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1753


\ {\isacharquery}thesis\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1754


\ {\isacharparenleft}simp\ add{\isacharcolon}eqs{\isacharunderscore}subst{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1755


\isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1756


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1757


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1758


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1759


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1760


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1761


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1762


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1763


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1764


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1765


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1766


\ eqs{\isacharunderscore}subst{\isacharunderscore}keeps{\isacharunderscore}finite{\isacharunderscore}rhs{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1767


\ \ {\isachardoublequoteopen}{\isasymlbrakk}finite{\isacharunderscore}rhs\ ES{\isacharsemicolon}\ finite\ yrhs{\isasymrbrakk}\ {\isasymLongrightarrow}\ finite{\isacharunderscore}rhs\ {\isacharparenleft}eqs{\isacharunderscore}subst\ ES\ Y\ yrhs{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1768


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1769


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1770


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1771


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1772


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1773


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1774


\isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1775


\ {\isacharparenleft}auto\ intro{\isacharcolon}rhs{\isacharunderscore}subst{\isacharunderscore}keeps{\isacharunderscore}finite{\isacharunderscore}rhs\ simp\ add{\isacharcolon}eqs{\isacharunderscore}subst{\isacharunderscore}def\ finite{\isacharunderscore}rhs{\isacharunderscore}def{\isacharparenright}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1776


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1777


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1778


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1779


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1780


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1781


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1782


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1783


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1784


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1785


\ append{\isacharunderscore}rhs{\isacharunderscore}keeps{\isacharunderscore}cls{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1786


\ \ {\isachardoublequoteopen}classes{\isacharunderscore}of\ {\isacharparenleft}append{\isacharunderscore}rhs{\isacharunderscore}rexp\ rhs\ r{\isacharparenright}\ {\isacharequal}\ classes{\isacharunderscore}of\ rhs{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1787


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1788


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1789


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1790


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1791


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1792


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1793


\isacommand{apply}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1794


\ {\isacharparenleft}auto\ simp{\isacharcolon}classes{\isacharunderscore}of{\isacharunderscore}def\ append{\isacharunderscore}rhs{\isacharunderscore}rexp{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1795


\isacommand{apply}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1796


\ {\isacharparenleft}case{\isacharunderscore}tac\ xa{\isacharcomma}\ auto\ simp{\isacharcolon}image{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1797


\isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1798


\ {\isacharparenleft}rule{\isacharunderscore}tac\ x\ {\isacharequal}\ {\isachardoublequoteopen}SEQ\ ra\ r{\isachardoublequoteclose}\ \isakeyword{in}\ exI{\isacharcomma}\ rule{\isacharunderscore}tac\ x\ {\isacharequal}\ {\isachardoublequoteopen}Trn\ x\ ra{\isachardoublequoteclose}\ \isakeyword{in}\ bexI{\isacharcomma}\ simp{\isacharplus}{\isacharparenright}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1799


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1800


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1801


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1802


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1803


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1804


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1805


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1806


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1807


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1808


\ arden{\isacharunderscore}variate{\isacharunderscore}removes{\isacharunderscore}cl{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1809


\ \ {\isachardoublequoteopen}classes{\isacharunderscore}of\ {\isacharparenleft}arden{\isacharunderscore}variate\ Y\ yrhs{\isacharparenright}\ {\isacharequal}\ classes{\isacharunderscore}of\ yrhs\ {\isacharminus}\ {\isacharbraceleft}Y{\isacharbraceright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1810


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1811


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1812


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1813


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1814


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1815


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1816


\isacommand{apply}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1817


\ {\isacharparenleft}simp\ add{\isacharcolon}arden{\isacharunderscore}variate{\isacharunderscore}def\ append{\isacharunderscore}rhs{\isacharunderscore}keeps{\isacharunderscore}cls\ items{\isacharunderscore}of{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1818


\isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1819


\ {\isacharparenleft}auto\ simp{\isacharcolon}classes{\isacharunderscore}of{\isacharunderscore}def{\isacharparenright}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1820


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1821


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1822


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1823


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1824


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1825


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1826


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1827


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1828


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1829


\ lefts{\isacharunderscore}of{\isacharunderscore}keeps{\isacharunderscore}cls{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1830


\ \ {\isachardoublequoteopen}lefts{\isacharunderscore}of\ {\isacharparenleft}eqs{\isacharunderscore}subst\ ES\ Y\ yrhs{\isacharparenright}\ {\isacharequal}\ lefts{\isacharunderscore}of\ ES{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1831


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1832


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1833


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1834


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1835


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1836


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1837


\isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1838


\ {\isacharparenleft}auto\ simp{\isacharcolon}lefts{\isacharunderscore}of{\isacharunderscore}def\ eqs{\isacharunderscore}subst{\isacharunderscore}def{\isacharparenright}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1839


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1840


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1841


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1842


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1843


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1844


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1845


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1846


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1847


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1848


\ rhs{\isacharunderscore}subst{\isacharunderscore}updates{\isacharunderscore}cls{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1849


\ \ {\isachardoublequoteopen}X\ {\isasymnotin}\ classes{\isacharunderscore}of\ xrhs\ {\isasymLongrightarrow}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1850


\ \ \ \ \ \ classes{\isacharunderscore}of\ {\isacharparenleft}rhs{\isacharunderscore}subst\ rhs\ X\ xrhs{\isacharparenright}\ {\isacharequal}\ classes{\isacharunderscore}of\ rhs\ {\isasymunion}\ classes{\isacharunderscore}of\ xrhs\ {\isacharminus}\ {\isacharbraceleft}X{\isacharbraceright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1851


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1852


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1853


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1854


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1855


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1856


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1857


\isacommand{apply}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1858


\ {\isacharparenleft}simp\ only{\isacharcolon}rhs{\isacharunderscore}subst{\isacharunderscore}def\ append{\isacharunderscore}rhs{\isacharunderscore}keeps{\isacharunderscore}cls\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1859


\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ classes{\isacharunderscore}of{\isacharunderscore}union{\isacharunderscore}distrib{\isacharbrackleft}THEN\ sym{\isacharbrackright}{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1860


\isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1861


\ {\isacharparenleft}auto\ simp{\isacharcolon}classes{\isacharunderscore}of{\isacharunderscore}def\ items{\isacharunderscore}of{\isacharunderscore}def{\isacharparenright}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1862


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1863


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1864


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1865


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1866


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1867


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1868


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1869


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1870


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1871


\ eqs{\isacharunderscore}subst{\isacharunderscore}keeps{\isacharunderscore}self{\isacharunderscore}contained{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1872


\ \ \isakeyword{fixes}\ Y\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1873


\ \ \isakeyword{assumes}\ sc{\isacharcolon}\ {\isachardoublequoteopen}self{\isacharunderscore}contained\ {\isacharparenleft}ES\ {\isasymunion}\ {\isacharbraceleft}{\isacharparenleft}Y{\isacharcomma}\ yrhs{\isacharparenright}{\isacharbraceright}{\isacharparenright}{\isachardoublequoteclose}\ {\isacharparenleft}\isakeyword{is}\ {\isachardoublequoteopen}self{\isacharunderscore}contained\ {\isacharquery}A{\isachardoublequoteclose}{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1874


\ \ \isakeyword{shows}\ {\isachardoublequoteopen}self{\isacharunderscore}contained\ {\isacharparenleft}eqs{\isacharunderscore}subst\ ES\ Y\ {\isacharparenleft}arden{\isacharunderscore}variate\ Y\ yrhs{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1875


\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {\isacharparenleft}\isakeyword{is}\ {\isachardoublequoteopen}self{\isacharunderscore}contained\ {\isacharquery}B{\isachardoublequoteclose}{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1876


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1877


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1878


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1879


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1880


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1881


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1882


\isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1883


{\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1884


\ \ \isacommand{{\isacharbraceleft}}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1885


\ \isacommand{fix}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1886


\ X\ xrhs{\isacharprime}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1887


\ \ \ \ \isacommand{assume}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1888


\ {\isachardoublequoteopen}{\isacharparenleft}X{\isacharcomma}\ xrhs{\isacharprime}{\isacharparenright}\ {\isasymin}\ {\isacharquery}B{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1889


\ \ \ \ \isacommand{then}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1890


\ \isacommand{obtain}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1891


\ xrhs\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1892


\ \ \ \ \ \ \isakeyword{where}\ xrhs{\isacharunderscore}xrhs{\isacharprime}{\isacharcolon}\ {\isachardoublequoteopen}xrhs{\isacharprime}\ {\isacharequal}\ rhs{\isacharunderscore}subst\ xrhs\ Y\ {\isacharparenleft}arden{\isacharunderscore}variate\ Y\ yrhs{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1893


\ \ \ \ \ \ \isakeyword{and}\ X{\isacharunderscore}in{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}X{\isacharcomma}\ xrhs{\isacharparenright}\ {\isasymin}\ ES{\isachardoublequoteclose}\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1894


\ {\isacharparenleft}simp\ add{\isacharcolon}eqs{\isacharunderscore}subst{\isacharunderscore}def{\isacharcomma}\ blast{\isacharparenright}\ \ \ \ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1895


\ \ \ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1896


\ {\isachardoublequoteopen}classes{\isacharunderscore}of\ xrhs{\isacharprime}\ {\isasymsubseteq}\ lefts{\isacharunderscore}of\ {\isacharquery}B{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1897


\ \ \ \ \isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1898


{\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1899


\ \ \ \ \ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1900


\ {\isachardoublequoteopen}lefts{\isacharunderscore}of\ {\isacharquery}B\ {\isacharequal}\ lefts{\isacharunderscore}of\ ES{\isachardoublequoteclose}\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1901


\ {\isacharparenleft}auto\ simp\ add{\isacharcolon}lefts{\isacharunderscore}of{\isacharunderscore}def\ eqs{\isacharunderscore}subst{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1902


\ \ \ \ \ \ \isacommand{moreover}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1903


\ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1904


\ {\isachardoublequoteopen}classes{\isacharunderscore}of\ xrhs{\isacharprime}\ {\isasymsubseteq}\ lefts{\isacharunderscore}of\ ES{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1905


\ \ \ \ \ \ \isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1906


{\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1907


\ \ \ \ \ \ \ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1908


\ {\isachardoublequoteopen}classes{\isacharunderscore}of\ xrhs{\isacharprime}\ {\isasymsubseteq}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1909


\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ classes{\isacharunderscore}of\ xrhs\ {\isasymunion}\ classes{\isacharunderscore}of\ {\isacharparenleft}arden{\isacharunderscore}variate\ Y\ yrhs{\isacharparenright}\ {\isacharminus}\ {\isacharbraceleft}Y{\isacharbraceright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1910


\ \ \ \ \ \ \ \ \isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1911


{\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1912


\ \ \ \ \ \ \ \ \ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1913


\ {\isachardoublequoteopen}Y\ {\isasymnotin}\ classes{\isacharunderscore}of\ {\isacharparenleft}arden{\isacharunderscore}variate\ Y\ yrhs{\isacharparenright}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1914


\ \ \ \ \ \ \ \ \ \ \ \ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1915


\ arden{\isacharunderscore}variate{\isacharunderscore}removes{\isacharunderscore}cl\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1916


\ simp\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1917


\ \ \ \ \ \ \ \ \ \ \isacommand{thus}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1918


\ {\isacharquery}thesis\ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1919


\ xrhs{\isacharunderscore}xrhs{\isacharprime}\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1920


\ {\isacharparenleft}auto\ simp{\isacharcolon}rhs{\isacharunderscore}subst{\isacharunderscore}updates{\isacharunderscore}cls{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1921


\ \ \ \ \ \ \ \ \isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1922


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1923


\ \ \ \ \ \ \ \ \isacommand{moreover}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1924


\ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1925


\ {\isachardoublequoteopen}classes{\isacharunderscore}of\ xrhs\ {\isasymsubseteq}\ lefts{\isacharunderscore}of\ ES\ {\isasymunion}\ {\isacharbraceleft}Y{\isacharbraceright}{\isachardoublequoteclose}\ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1926


\ X{\isacharunderscore}in\ sc\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1927


\ \ \ \ \ \ \ \ \ \ \isacommand{apply}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1928


\ {\isacharparenleft}simp\ only{\isacharcolon}self{\isacharunderscore}contained{\isacharunderscore}def\ lefts{\isacharunderscore}of{\isacharunderscore}union{\isacharunderscore}distrib{\isacharbrackleft}THEN\ sym{\isacharbrackright}{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1929


\ \ \ \ \ \ \ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1930


\ {\isacharparenleft}drule{\isacharunderscore}tac\ x\ {\isacharequal}\ {\isachardoublequoteopen}{\isacharparenleft}X{\isacharcomma}\ xrhs{\isacharparenright}{\isachardoublequoteclose}\ \isakeyword{in}\ bspec{\isacharcomma}\ auto\ simp{\isacharcolon}lefts{\isacharunderscore}of{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1931


\ \ \ \ \ \ \ \ \isacommand{moreover}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1932


\ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1933


\ {\isachardoublequoteopen}classes{\isacharunderscore}of\ {\isacharparenleft}arden{\isacharunderscore}variate\ Y\ yrhs{\isacharparenright}\ {\isasymsubseteq}\ lefts{\isacharunderscore}of\ ES\ {\isasymunion}\ {\isacharbraceleft}Y{\isacharbraceright}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1934


\ \ \ \ \ \ \ \ \ \ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1935


\ sc\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1936


\ \ \ \ \ \ \ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1937


\ {\isacharparenleft}auto\ simp\ add{\isacharcolon}arden{\isacharunderscore}variate{\isacharunderscore}removes{\isacharunderscore}cl\ self{\isacharunderscore}contained{\isacharunderscore}def\ lefts{\isacharunderscore}of{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1938


\ \ \ \ \ \ \ \ \isacommand{ultimately}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1939


\ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1940


\ {\isacharquery}thesis\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1941


\ auto\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1942


\ \ \ \ \ \ \isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1943


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1944


\ \ \ \ \ \ \isacommand{ultimately}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1945


\ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1946


\ {\isacharquery}thesis\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1947


\ simp\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1948


\ \ \ \ \isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1949


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1950


\ \ \isacommand{{\isacharbraceright}}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1951


\ \isacommand{thus}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1952


\ {\isacharquery}thesis\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1953


\ {\isacharparenleft}auto\ simp\ only{\isacharcolon}eqs{\isacharunderscore}subst{\isacharunderscore}def\ self{\isacharunderscore}contained{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1954


\isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1955


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1956


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1957


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1958


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1959


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1960


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1961


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1962


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1963


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1964


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1965


\ eqs{\isacharunderscore}subst{\isacharunderscore}satisfy{\isacharunderscore}Inv{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1966


\ \ \isakeyword{assumes}\ Inv{\isacharunderscore}ES{\isacharcolon}\ {\isachardoublequoteopen}Inv\ {\isacharparenleft}ES\ {\isasymunion}\ {\isacharbraceleft}{\isacharparenleft}Y{\isacharcomma}\ yrhs{\isacharparenright}{\isacharbraceright}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1967


\ \ \isakeyword{shows}\ {\isachardoublequoteopen}Inv\ {\isacharparenleft}eqs{\isacharunderscore}subst\ ES\ Y\ {\isacharparenleft}arden{\isacharunderscore}variate\ Y\ yrhs{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1968


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1969


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1970


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1971


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1972


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1973


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1974


\isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1975


\ {\isacharminus}\ \ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1976


\ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1977


\ finite{\isacharunderscore}yrhs{\isacharcolon}\ {\isachardoublequoteopen}finite\ yrhs{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1978


\ \ \ \ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1979


\ Inv{\isacharunderscore}ES\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1980


\ {\isacharparenleft}auto\ simp{\isacharcolon}Inv{\isacharunderscore}def\ finite{\isacharunderscore}rhs{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1981


\ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1982


\ nonempty{\isacharunderscore}yrhs{\isacharcolon}\ {\isachardoublequoteopen}rhs{\isacharunderscore}nonempty\ yrhs{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1983


\ \ \ \ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1984


\ Inv{\isacharunderscore}ES\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1985


\ {\isacharparenleft}auto\ simp{\isacharcolon}Inv{\isacharunderscore}def\ ardenable{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1986


\ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1987


\ Y{\isacharunderscore}eq{\isacharunderscore}yrhs{\isacharcolon}\ {\isachardoublequoteopen}Y\ {\isacharequal}\ L\ yrhs{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1988


\ \ \ \ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1989


\ Inv{\isacharunderscore}ES\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1990


\ {\isacharparenleft}simp\ only{\isacharcolon}Inv{\isacharunderscore}def\ valid{\isacharunderscore}eqns{\isacharunderscore}def{\isacharcomma}\ blast{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1991


\ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1992


\ {\isachardoublequoteopen}distinct{\isacharunderscore}equas\ {\isacharparenleft}eqs{\isacharunderscore}subst\ ES\ Y\ {\isacharparenleft}arden{\isacharunderscore}variate\ Y\ yrhs{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1993


\ \ \ \ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1994


\ Inv{\isacharunderscore}ES\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1995


\ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1996


\ {\isacharparenleft}auto\ simp{\isacharcolon}distinct{\isacharunderscore}equas{\isacharunderscore}def\ eqs{\isacharunderscore}subst{\isacharunderscore}def\ Inv{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1997


\ \ \isacommand{moreover}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1998


\ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  1999


\ {\isachardoublequoteopen}finite\ {\isacharparenleft}eqs{\isacharunderscore}subst\ ES\ Y\ {\isacharparenleft}arden{\isacharunderscore}variate\ Y\ yrhs{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2000


\ \ \ \ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2001


\ Inv{\isacharunderscore}ES\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2002


\ {\isacharparenleft}simp\ add{\isacharcolon}Inv{\isacharunderscore}def\ eqs{\isacharunderscore}subst{\isacharunderscore}keeps{\isacharunderscore}finite{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2003


\ \ \isacommand{moreover}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2004


\ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2005


\ {\isachardoublequoteopen}finite{\isacharunderscore}rhs\ {\isacharparenleft}eqs{\isacharunderscore}subst\ ES\ Y\ {\isacharparenleft}arden{\isacharunderscore}variate\ Y\ yrhs{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2006


\ \ \isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2007


{\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2008


\ \ \ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2009


\ {\isachardoublequoteopen}finite{\isacharunderscore}rhs\ ES{\isachardoublequoteclose}\ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2010


\ Inv{\isacharunderscore}ES\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2011


\ \ \ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2012


\ {\isacharparenleft}simp\ add{\isacharcolon}Inv{\isacharunderscore}def\ finite{\isacharunderscore}rhs{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2013


\ \ \ \ \isacommand{moreover}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2014


\ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2015


\ {\isachardoublequoteopen}finite\ {\isacharparenleft}arden{\isacharunderscore}variate\ Y\ yrhs{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2016


\ \ \ \ \isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2017


\ {\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2018


\ \ \ \ \ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2019


\ {\isachardoublequoteopen}finite\ yrhs{\isachardoublequoteclose}\ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2020


\ Inv{\isacharunderscore}ES\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2021


\ \ \ \ \ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2022


\ {\isacharparenleft}auto\ simp{\isacharcolon}Inv{\isacharunderscore}def\ finite{\isacharunderscore}rhs{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2023


\ \ \ \ \ \ \isacommand{thus}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2024


\ {\isacharquery}thesis\ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2025


\ arden{\isacharunderscore}variate{\isacharunderscore}keeps{\isacharunderscore}finite\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2026


\ simp\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2027


\ \ \ \ \isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2028


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2029


\ \ \ \ \isacommand{ultimately}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2030


\ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2031


\ {\isacharquery}thesis\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2032


\ \ \ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2033


\ {\isacharparenleft}simp\ add{\isacharcolon}eqs{\isacharunderscore}subst{\isacharunderscore}keeps{\isacharunderscore}finite{\isacharunderscore}rhs{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2034


\ \ \isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2035


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2036


\ \ \isacommand{moreover}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2037


\ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2038


\ {\isachardoublequoteopen}ardenable\ {\isacharparenleft}eqs{\isacharunderscore}subst\ ES\ Y\ {\isacharparenleft}arden{\isacharunderscore}variate\ Y\ yrhs{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2039


\ \ \isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2040


\ {\isacharminus}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2041


\ \ \ \ \isacommand{{\isacharbraceleft}}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2042


\ \isacommand{fix}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2043


\ X\ rhs\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2044


\ \ \ \ \ \ \isacommand{assume}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2045


\ {\isachardoublequoteopen}{\isacharparenleft}X{\isacharcomma}\ rhs{\isacharparenright}\ {\isasymin}\ ES{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2046


\ \ \ \ \ \ \isacommand{hence}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2047


\ {\isachardoublequoteopen}rhs{\isacharunderscore}nonempty\ rhs{\isachardoublequoteclose}\ \ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2048


\ prems\ Inv{\isacharunderscore}ES\ \ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2049


\ \ \ \ \ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2050


\ {\isacharparenleft}simp\ add{\isacharcolon}Inv{\isacharunderscore}def\ ardenable{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2051


\ \ \ \ \ \ \isacommand{with}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2052


\ nonempty{\isacharunderscore}yrhs\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2053


\ \ \ \ \ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2054


\ {\isachardoublequoteopen}rhs{\isacharunderscore}nonempty\ {\isacharparenleft}rhs{\isacharunderscore}subst\ rhs\ Y\ {\isacharparenleft}arden{\isacharunderscore}variate\ Y\ yrhs{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2055


\ \ \ \ \ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2056


\ {\isacharparenleft}simp\ add{\isacharcolon}nonempty{\isacharunderscore}yrhs\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2057


\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ rhs{\isacharunderscore}subst{\isacharunderscore}keeps{\isacharunderscore}nonempty\ arden{\isacharunderscore}variate{\isacharunderscore}keeps{\isacharunderscore}nonempty{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2058


\ \ \ \ \isacommand{{\isacharbraceright}}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2059


\ \isacommand{thus}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2060


\ {\isacharquery}thesis\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2061


\ {\isacharparenleft}auto\ simp\ add{\isacharcolon}ardenable{\isacharunderscore}def\ eqs{\isacharunderscore}subst{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2062


\ \ \isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2063


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2064


\ \ \isacommand{moreover}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2065


\ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2066


\ {\isachardoublequoteopen}valid{\isacharunderscore}eqns\ {\isacharparenleft}eqs{\isacharunderscore}subst\ ES\ Y\ {\isacharparenleft}arden{\isacharunderscore}variate\ Y\ yrhs{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2067


\ \ \isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2068


{\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2069


\ \ \ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2070


\ {\isachardoublequoteopen}Y\ {\isacharequal}\ L\ {\isacharparenleft}arden{\isacharunderscore}variate\ Y\ yrhs{\isacharparenright}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2071


\ \ \ \ \ \ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2072


\ Y{\isacharunderscore}eq{\isacharunderscore}yrhs\ Inv{\isacharunderscore}ES\ finite{\isacharunderscore}yrhs\ nonempty{\isacharunderscore}yrhs\ \ \ \ \ \ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2073


\ \ \ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2074


\ {\isacharparenleft}rule{\isacharunderscore}tac\ arden{\isacharunderscore}variate{\isacharunderscore}keeps{\isacharunderscore}eq{\isacharcomma}\ {\isacharparenleft}simp\ add{\isacharcolon}rexp{\isacharunderscore}of{\isacharunderscore}empty{\isacharparenright}{\isacharplus}{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2075


\ \ \ \ \isacommand{thus}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2076


\ {\isacharquery}thesis\ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2077


\ Inv{\isacharunderscore}ES\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2078


\ \ \ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2079


\ {\isacharparenleft}clarsimp\ simp\ add{\isacharcolon}valid{\isacharunderscore}eqns{\isacharunderscore}def\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2080


\ \ \ \ \ \ \ \ \ \ \ \ \ \ eqs{\isacharunderscore}subst{\isacharunderscore}def\ rhs{\isacharunderscore}subst{\isacharunderscore}keeps{\isacharunderscore}eq\ Inv{\isacharunderscore}def\ finite{\isacharunderscore}rhs{\isacharunderscore}def\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2081


\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ simp\ del{\isacharcolon}L{\isacharunderscore}rhs{\isachardot}simps{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2082


\ \ \isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2083


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2084


\ \ \isacommand{moreover}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2085


\ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2086


\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2087


\ \ \ \ non{\isacharunderscore}empty{\isacharunderscore}subst{\isacharcolon}\ {\isachardoublequoteopen}non{\isacharunderscore}empty\ {\isacharparenleft}eqs{\isacharunderscore}subst\ ES\ Y\ {\isacharparenleft}arden{\isacharunderscore}variate\ Y\ yrhs{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2088


\ \ \ \ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2089


\ Inv{\isacharunderscore}ES\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2090


\ {\isacharparenleft}auto\ simp{\isacharcolon}Inv{\isacharunderscore}def\ non{\isacharunderscore}empty{\isacharunderscore}def\ eqs{\isacharunderscore}subst{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2091


\ \ \isacommand{moreover}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2092


\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2093


\ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2094


\ self{\isacharunderscore}subst{\isacharcolon}\ {\isachardoublequoteopen}self{\isacharunderscore}contained\ {\isacharparenleft}eqs{\isacharunderscore}subst\ ES\ Y\ {\isacharparenleft}arden{\isacharunderscore}variate\ Y\ yrhs{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2095


\ \ \ \ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2096


\ Inv{\isacharunderscore}ES\ eqs{\isacharunderscore}subst{\isacharunderscore}keeps{\isacharunderscore}self{\isacharunderscore}contained\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2097


\ {\isacharparenleft}simp\ add{\isacharcolon}Inv{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2098


\ \ \isacommand{ultimately}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2099


\ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2100


\ {\isacharquery}thesis\ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2101


\ Inv{\isacharunderscore}ES\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2102


\ {\isacharparenleft}simp\ add{\isacharcolon}Inv{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2103


\isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2104


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2105


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2106


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2107


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2108


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2109


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2110


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2111


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2112


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2113


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2114


\ eqs{\isacharunderscore}subst{\isacharunderscore}card{\isacharunderscore}le{\isacharcolon}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2115


\ \ \isakeyword{assumes}\ finite{\isacharcolon}\ {\isachardoublequoteopen}finite\ {\isacharparenleft}ES{\isacharcolon}{\isacharcolon}{\isacharparenleft}string\ set\ {\isasymtimes}\ rhs{\isacharunderscore}item\ set{\isacharparenright}\ set{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2116


\ \ \isakeyword{shows}\ {\isachardoublequoteopen}card\ {\isacharparenleft}eqs{\isacharunderscore}subst\ ES\ Y\ yrhs{\isacharparenright}\ {\isacharless}{\isacharequal}\ card\ ES{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2117


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2118


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2119


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2120


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2121


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2122


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2123


\isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2124


{\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2125


\ \ \isacommand{def}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2126


\ f\ {\isasymequiv}\ {\isachardoublequoteopen}{\isasymlambda}\ x{\isachardot}\ {\isacharparenleft}{\isacharparenleft}fst\ x{\isacharparenright}{\isacharcolon}{\isacharcolon}string\ set{\isacharcomma}\ rhs{\isacharunderscore}subst\ {\isacharparenleft}snd\ x{\isacharparenright}\ Y\ yrhs{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2127


\ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2128


\ {\isachardoublequoteopen}eqs{\isacharunderscore}subst\ ES\ Y\ yrhs\ {\isacharequal}\ f\ {\isacharbackquote}\ ES{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2129


\ \ \ \ \isacommand{apply}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2130


\ {\isacharparenleft}auto\ simp{\isacharcolon}eqs{\isacharunderscore}subst{\isacharunderscore}def\ f{\isacharunderscore}def\ image{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2131


\ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2132


\ {\isacharparenleft}rule{\isacharunderscore}tac\ x\ {\isacharequal}\ {\isachardoublequoteopen}{\isacharparenleft}Ya{\isacharcomma}\ yrhsa{\isacharparenright}{\isachardoublequoteclose}\ \isakeyword{in}\ bexI{\isacharcomma}\ simp{\isacharplus}{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2133


\ \ \isacommand{thus}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2134


\ {\isacharquery}thesis\ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2135


\ finite\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2136


\ {\isacharparenleft}auto\ intro{\isacharcolon}card{\isacharunderscore}image{\isacharunderscore}le{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2137


\isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2138


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2139


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2140


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2141


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2142


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2143


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2144


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2145


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2146


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2147


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2148


\ eqs{\isacharunderscore}subst{\isacharunderscore}cls{\isacharunderscore}remains{\isacharcolon}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2149


\ \ {\isachardoublequoteopen}{\isacharparenleft}X{\isacharcomma}\ xrhs{\isacharparenright}\ {\isasymin}\ ES\ {\isasymLongrightarrow}\ {\isasymexists}\ xrhs{\isacharprime}{\isachardot}\ {\isacharparenleft}X{\isacharcomma}\ xrhs{\isacharprime}{\isacharparenright}\ {\isasymin}\ {\isacharparenleft}eqs{\isacharunderscore}subst\ ES\ Y\ yrhs{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2150


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2151


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2152


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2153


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2154


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2155


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2156


\isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2157


\ {\isacharparenleft}auto\ simp{\isacharcolon}eqs{\isacharunderscore}subst{\isacharunderscore}def{\isacharparenright}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2158


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2159


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2160


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2161


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2162


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2163


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2164


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2165


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2166


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2167


\ card{\isacharunderscore}noteq{\isacharunderscore}{\isadigit{1}}{\isacharunderscore}has{\isacharunderscore}more{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2168


\ \ \isakeyword{assumes}\ card{\isacharcolon}{\isachardoublequoteopen}card\ S\ {\isasymnoteq}\ {\isadigit{1}}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2169


\ \ \isakeyword{and}\ e{\isacharunderscore}in{\isacharcolon}\ {\isachardoublequoteopen}e\ {\isasymin}\ S{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2170


\ \ \isakeyword{and}\ finite{\isacharcolon}\ {\isachardoublequoteopen}finite\ S{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2171


\ \ \isakeyword{obtains}\ e{\isacharprime}\ \isakeyword{where}\ {\isachardoublequoteopen}e{\isacharprime}\ {\isasymin}\ S\ {\isasymand}\ e\ {\isasymnoteq}\ e{\isacharprime}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2172


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2173


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2174


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2175


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2176


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2177


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2178


\isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2179


{\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2180


\ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2181


\ {\isachardoublequoteopen}card\ {\isacharparenleft}S\ {\isacharminus}\ {\isacharbraceleft}e{\isacharbraceright}{\isacharparenright}\ {\isachargreater}\ {\isadigit{0}}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2182


\ \ \isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2183


\ {\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2184


\ \ \ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2185


\ {\isachardoublequoteopen}card\ S\ {\isachargreater}\ {\isadigit{1}}{\isachardoublequoteclose}\ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2186


\ card\ e{\isacharunderscore}in\ finite\ \ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2187


\ \ \ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2188


\ {\isacharparenleft}case{\isacharunderscore}tac\ {\isachardoublequoteopen}card\ S{\isachardoublequoteclose}{\isacharcomma}\ auto{\isacharparenright}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2189


\ \ \ \ \isacommand{thus}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2190


\ {\isacharquery}thesis\ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2191


\ finite\ e{\isacharunderscore}in\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2192


\ auto\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2193


\ \ \isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2194


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2195


\ \ \isacommand{hence}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2196


\ {\isachardoublequoteopen}S\ {\isacharminus}\ {\isacharbraceleft}e{\isacharbraceright}\ {\isasymnoteq}\ {\isacharbraceleft}{\isacharbraceright}{\isachardoublequoteclose}\ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2197


\ finite\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2198


\ {\isacharparenleft}rule{\isacharunderscore}tac\ notI{\isacharcomma}\ simp{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2199


\ \ \isacommand{thus}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2200


\ {\isachardoublequoteopen}{\isacharparenleft}{\isasymAnd}e{\isacharprime}{\isachardot}\ e{\isacharprime}\ {\isasymin}\ S\ {\isasymand}\ e\ {\isasymnoteq}\ e{\isacharprime}\ {\isasymLongrightarrow}\ thesis{\isacharparenright}\ {\isasymLongrightarrow}\ thesis{\isachardoublequoteclose}\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2201


\ auto\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2202


\isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2203


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2204


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2205


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2206


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2207


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2208


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2209


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2210


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2211


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2212


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2213


\ iteration{\isacharunderscore}step{\isacharcolon}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2214


\ \ \isakeyword{assumes}\ Inv{\isacharunderscore}ES{\isacharcolon}\ {\isachardoublequoteopen}Inv\ ES{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2215


\ \ \isakeyword{and}\ \ \ \ X{\isacharunderscore}in{\isacharunderscore}ES{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}X{\isacharcomma}\ xrhs{\isacharparenright}\ {\isasymin}\ ES{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2216


\ \ \isakeyword{and}\ \ \ \ not{\isacharunderscore}T{\isacharcolon}\ {\isachardoublequoteopen}card\ ES\ {\isasymnoteq}\ {\isadigit{1}}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2217


\ \ \isakeyword{shows}\ {\isachardoublequoteopen}{\isasymexists}\ ES{\isacharprime}{\isachardot}\ {\isacharparenleft}Inv\ ES{\isacharprime}\ {\isasymand}\ {\isacharparenleft}{\isasymexists}\ xrhs{\isacharprime}{\isachardot}{\isacharparenleft}X{\isacharcomma}\ xrhs{\isacharprime}{\isacharparenright}\ {\isasymin}\ ES{\isacharprime}{\isacharparenright}{\isacharparenright}\ {\isasymand}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2218


\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {\isacharparenleft}card\ ES{\isacharprime}{\isacharcomma}\ card\ ES{\isacharparenright}\ {\isasymin}\ less{\isacharunderscore}than{\isachardoublequoteclose}\ {\isacharparenleft}\isakeyword{is}\ {\isachardoublequoteopen}{\isasymexists}\ ES{\isacharprime}{\isachardot}\ {\isacharquery}P\ ES{\isacharprime}{\isachardoublequoteclose}{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2219


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2220


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2221


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2222


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2223


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2224


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2225


\isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2226


\ {\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2227


\ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2228


\ finite{\isacharunderscore}ES{\isacharcolon}\ {\isachardoublequoteopen}finite\ ES{\isachardoublequoteclose}\ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2229


\ Inv{\isacharunderscore}ES\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2230


\ {\isacharparenleft}simp\ add{\isacharcolon}Inv{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2231


\ \ \isacommand{then}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2232


\ \isacommand{obtain}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2233


\ Y\ yrhs\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2234


\ \ \ \ \isakeyword{where}\ Y{\isacharunderscore}in{\isacharunderscore}ES{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}Y{\isacharcomma}\ yrhs{\isacharparenright}\ {\isasymin}\ ES{\isachardoublequoteclose}\ \isakeyword{and}\ not{\isacharunderscore}eq{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}X{\isacharcomma}\ xrhs{\isacharparenright}\ {\isasymnoteq}\ {\isacharparenleft}Y{\isacharcomma}\ yrhs{\isacharparenright}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2235


\ \ \ \ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2236


\ not{\isacharunderscore}T\ X{\isacharunderscore}in{\isacharunderscore}ES\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2237


\ {\isacharparenleft}drule{\isacharunderscore}tac\ card{\isacharunderscore}noteq{\isacharunderscore}{\isadigit{1}}{\isacharunderscore}has{\isacharunderscore}more{\isacharcomma}\ auto{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2238


\ \ \isacommand{def}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2239


\ ES{\isacharprime}\ {\isacharequal}{\isacharequal}\ {\isachardoublequoteopen}ES\ {\isacharminus}\ {\isacharbraceleft}{\isacharparenleft}Y{\isacharcomma}\ yrhs{\isacharparenright}{\isacharbraceright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2240


\ \ \isacommand{let}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2241


\ {\isacharquery}ES{\isacharprime}{\isacharprime}\ {\isacharequal}\ {\isachardoublequoteopen}eqs{\isacharunderscore}subst\ ES{\isacharprime}\ Y\ {\isacharparenleft}arden{\isacharunderscore}variate\ Y\ yrhs{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2242


\ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2243


\ {\isachardoublequoteopen}{\isacharquery}P\ {\isacharquery}ES{\isacharprime}{\isacharprime}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2244


\ \ \isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2245


\ {\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2246


\ \ \ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2247


\ {\isachardoublequoteopen}Inv\ {\isacharquery}ES{\isacharprime}{\isacharprime}{\isachardoublequoteclose}\ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2248


\ Y{\isacharunderscore}in{\isacharunderscore}ES\ Inv{\isacharunderscore}ES\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2249


\ \ \ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2250


\ {\isacharparenleft}rule{\isacharunderscore}tac\ eqs{\isacharunderscore}subst{\isacharunderscore}satisfy{\isacharunderscore}Inv{\isacharcomma}\ simp\ add{\isacharcolon}ES{\isacharprime}{\isacharunderscore}def\ insert{\isacharunderscore}absorb{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2251


\ \ \ \ \isacommand{moreover}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2252


\ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2253


\ {\isachardoublequoteopen}{\isasymexists}xrhs{\isacharprime}{\isachardot}\ {\isacharparenleft}X{\isacharcomma}\ xrhs{\isacharprime}{\isacharparenright}\ {\isasymin}\ {\isacharquery}ES{\isacharprime}{\isacharprime}{\isachardoublequoteclose}\ \ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2254


\ not{\isacharunderscore}eq\ X{\isacharunderscore}in{\isacharunderscore}ES\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2255


\ \ \ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2256


\ {\isacharparenleft}rule{\isacharunderscore}tac\ ES\ {\isacharequal}\ ES{\isacharprime}\ \isakeyword{in}\ eqs{\isacharunderscore}subst{\isacharunderscore}cls{\isacharunderscore}remains{\isacharcomma}\ auto\ simp\ add{\isacharcolon}ES{\isacharprime}{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2257


\ \ \ \ \isacommand{moreover}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2258


\ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2259


\ {\isachardoublequoteopen}{\isacharparenleft}card\ {\isacharquery}ES{\isacharprime}{\isacharprime}{\isacharcomma}\ card\ ES{\isacharparenright}\ {\isasymin}\ less{\isacharunderscore}than{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2260


\ \ \ \ \isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2261


\ {\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2262


\ \ \ \ \ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2263


\ {\isachardoublequoteopen}finite\ ES{\isacharprime}{\isachardoublequoteclose}\ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2264


\ finite{\isacharunderscore}ES\ ES{\isacharprime}{\isacharunderscore}def\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2265


\ auto\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2266


\ \ \ \ \ \ \isacommand{moreover}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2267


\ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2268


\ {\isachardoublequoteopen}card\ ES{\isacharprime}\ {\isacharless}\ card\ ES{\isachardoublequoteclose}\ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2269


\ finite{\isacharunderscore}ES\ Y{\isacharunderscore}in{\isacharunderscore}ES\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2270


\ \ \ \ \ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2271


\ {\isacharparenleft}auto\ simp{\isacharcolon}ES{\isacharprime}{\isacharunderscore}def\ card{\isacharunderscore}gt{\isacharunderscore}{\isadigit{0}}{\isacharunderscore}iff\ intro{\isacharcolon}diff{\isacharunderscore}Suc{\isacharunderscore}less{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2272


\ \ \ \ \ \ \isacommand{ultimately}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2273


\ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2274


\ {\isacharquery}thesis\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2275


\ \ \ \ \ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2276


\ {\isacharparenleft}auto\ dest{\isacharcolon}eqs{\isacharunderscore}subst{\isacharunderscore}card{\isacharunderscore}le\ elim{\isacharcolon}le{\isacharunderscore}less{\isacharunderscore}trans{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2277


\ \ \ \ \isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2278


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2279


\ \ \ \ \isacommand{ultimately}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2280


\ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2281


\ {\isacharquery}thesis\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2282


\ simp\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2283


\ \ \isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2284


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2285


\ \ \isacommand{thus}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2286


\ {\isacharquery}thesis\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2287


\ blast\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2288


\isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2289


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2290


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2291


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2292


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2293


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2294


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2295


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2296


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2297


\begin{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2298


From this point until \isa{hard{\isacharunderscore}direction}, the hard direction is proved













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2299


  through a simple application of the iteration principle.%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2300


\end{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2301


\isamarkuptrue%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2302


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2303


\ iteration{\isacharunderscore}conc{\isacharcolon}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2304


\ \ \isakeyword{assumes}\ history{\isacharcolon}\ {\isachardoublequoteopen}Inv\ ES{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2305


\ \ \isakeyword{and}\ \ \ \ X{\isacharunderscore}in{\isacharunderscore}ES{\isacharcolon}\ {\isachardoublequoteopen}{\isasymexists}\ xrhs{\isachardot}\ {\isacharparenleft}X{\isacharcomma}\ xrhs{\isacharparenright}\ {\isasymin}\ ES{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2306


\ \ \isakeyword{shows}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2307


\ \ {\isachardoublequoteopen}{\isasymexists}\ ES{\isacharprime}{\isachardot}\ {\isacharparenleft}Inv\ ES{\isacharprime}\ {\isasymand}\ {\isacharparenleft}{\isasymexists}\ xrhs{\isacharprime}{\isachardot}\ {\isacharparenleft}X{\isacharcomma}\ xrhs{\isacharprime}{\isacharparenright}\ {\isasymin}\ ES{\isacharprime}{\isacharparenright}{\isacharparenright}\ {\isasymand}\ card\ ES{\isacharprime}\ {\isacharequal}\ {\isadigit{1}}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2308


\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {\isacharparenleft}\isakeyword{is}\ {\isachardoublequoteopen}{\isasymexists}\ ES{\isacharprime}{\isachardot}\ {\isacharquery}P\ ES{\isacharprime}{\isachardoublequoteclose}{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2309


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2310


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2311


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2312


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2313


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2314


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2315


\isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2316


\ {\isacharparenleft}cases\ {\isachardoublequoteopen}card\ ES\ {\isacharequal}\ {\isadigit{1}}{\isachardoublequoteclose}{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2317


\ \ \isacommand{case}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2318


\ True\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2319


\ \ \isacommand{thus}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2320


\ {\isacharquery}thesis\ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2321


\ history\ X{\isacharunderscore}in{\isacharunderscore}ES\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2322


\ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2323


\ blast\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2324


\isacommand{next}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2325


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2326


\ \ \isacommand{case}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2327


\ False\ \ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2328


\ \ \isacommand{thus}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2329


\ {\isacharquery}thesis\ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2330


\ history\ iteration{\isacharunderscore}step\ X{\isacharunderscore}in{\isacharunderscore}ES\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2331


\ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2332


\ {\isacharparenleft}rule{\isacharunderscore}tac\ f\ {\isacharequal}\ card\ \isakeyword{in}\ wf{\isacharunderscore}iter{\isacharcomma}\ auto{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2333


\isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2334


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2335


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2336


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2337


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2338


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2339


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2340


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2341


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2342


\ \ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2343


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2344


\ last{\isacharunderscore}cl{\isacharunderscore}exists{\isacharunderscore}rexp{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2345


\ \ \isakeyword{assumes}\ ES{\isacharunderscore}single{\isacharcolon}\ {\isachardoublequoteopen}ES\ {\isacharequal}\ {\isacharbraceleft}{\isacharparenleft}X{\isacharcomma}\ xrhs{\isacharparenright}{\isacharbraceright}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2346


\ \ \isakeyword{and}\ Inv{\isacharunderscore}ES{\isacharcolon}\ {\isachardoublequoteopen}Inv\ ES{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2347


\ \ \isakeyword{shows}\ {\isachardoublequoteopen}{\isasymexists}\ {\isacharparenleft}r{\isacharcolon}{\isacharcolon}rexp{\isacharparenright}{\isachardot}\ L\ r\ {\isacharequal}\ X{\isachardoublequoteclose}\ {\isacharparenleft}\isakeyword{is}\ {\isachardoublequoteopen}{\isasymexists}\ r{\isachardot}\ {\isacharquery}P\ r{\isachardoublequoteclose}{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2348


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2349


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2350


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2351


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2352


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2353


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2354


\isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2355


{\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2356


\ \ \isacommand{let}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2357


\ {\isacharquery}A\ {\isacharequal}\ {\isachardoublequoteopen}arden{\isacharunderscore}variate\ X\ xrhs{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2358


\ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2359


\ {\isachardoublequoteopen}{\isacharquery}P\ {\isacharparenleft}rexp{\isacharunderscore}of{\isacharunderscore}lam\ {\isacharquery}A{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2360


\ \ \isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2361


\ {\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2362


\ \ \ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2363


\ {\isachardoublequoteopen}L\ {\isacharparenleft}rexp{\isacharunderscore}of{\isacharunderscore}lam\ {\isacharquery}A{\isacharparenright}\ {\isacharequal}\ L\ {\isacharparenleft}lam{\isacharunderscore}of\ {\isacharquery}A{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2364


\ \ \ \ \isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2365


{\isacharparenleft}rule\ rexp{\isacharunderscore}of{\isacharunderscore}lam{\isacharunderscore}eq{\isacharunderscore}lam{\isacharunderscore}set{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2366


\ \ \ \ \ \ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2367


\ {\isachardoublequoteopen}finite\ {\isacharparenleft}arden{\isacharunderscore}variate\ X\ xrhs{\isacharparenright}{\isachardoublequoteclose}\ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2368


\ Inv{\isacharunderscore}ES\ ES{\isacharunderscore}single\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2369


\ \ \ \ \ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2370


\ {\isacharparenleft}rule{\isacharunderscore}tac\ arden{\isacharunderscore}variate{\isacharunderscore}keeps{\isacharunderscore}finite{\isacharcomma}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2371


\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ auto\ simp\ add{\isacharcolon}Inv{\isacharunderscore}def\ finite{\isacharunderscore}rhs{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2372


\ \ \ \ \isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2373


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2374


\ \ \ \ \isacommand{also}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2375


\ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2376


\ {\isachardoublequoteopen}{\isasymdots}\ {\isacharequal}\ L\ {\isacharquery}A{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2377


\ \ \ \ \isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2378


{\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2379


\ \ \ \ \ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2380


\ {\isachardoublequoteopen}lam{\isacharunderscore}of\ {\isacharquery}A\ {\isacharequal}\ {\isacharquery}A{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2381


\ \ \ \ \ \ \isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2382


{\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2383


\ \ \ \ \ \ \ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2384


\ {\isachardoublequoteopen}classes{\isacharunderscore}of\ {\isacharquery}A\ {\isacharequal}\ {\isacharbraceleft}{\isacharbraceright}{\isachardoublequoteclose}\ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2385


\ Inv{\isacharunderscore}ES\ ES{\isacharunderscore}single\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2386


\ \ \ \ \ \ \ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2387


\ {\isacharparenleft}simp\ add{\isacharcolon}arden{\isacharunderscore}variate{\isacharunderscore}removes{\isacharunderscore}cl\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2388


\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ self{\isacharunderscore}contained{\isacharunderscore}def\ Inv{\isacharunderscore}def\ lefts{\isacharunderscore}of{\isacharunderscore}def{\isacharparenright}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2389


\ \ \ \ \ \ \ \ \isacommand{thus}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2390


\ {\isacharquery}thesis\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2391


\ \ \ \ \ \ \ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2392


\ {\isacharparenleft}auto\ simp\ only{\isacharcolon}lam{\isacharunderscore}of{\isacharunderscore}def\ classes{\isacharunderscore}of{\isacharunderscore}def{\isacharcomma}\ case{\isacharunderscore}tac\ x{\isacharcomma}\ auto{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2393


\ \ \ \ \ \ \isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2394


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2395


\ \ \ \ \ \ \isacommand{thus}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2396


\ {\isacharquery}thesis\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2397


\ simp\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2398


\ \ \ \ \isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2399


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2400


\ \ \ \ \isacommand{also}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2401


\ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2402


\ {\isachardoublequoteopen}{\isasymdots}\ {\isacharequal}\ X{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2403


\ \ \ \ \isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2404


{\isacharparenleft}rule\ arden{\isacharunderscore}variate{\isacharunderscore}keeps{\isacharunderscore}eq\ {\isacharbrackleft}THEN\ sym{\isacharbrackright}{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2405


\ \ \ \ \ \ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2406


\ {\isachardoublequoteopen}X\ {\isacharequal}\ L\ xrhs{\isachardoublequoteclose}\ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2407


\ Inv{\isacharunderscore}ES\ ES{\isacharunderscore}single\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2408


\ \ \ \ \ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2409


\ {\isacharparenleft}auto\ simp\ only{\isacharcolon}Inv{\isacharunderscore}def\ valid{\isacharunderscore}eqns{\isacharunderscore}def{\isacharparenright}\ \ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2410


\ \ \ \ \isacommand{next}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2411


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2412


\ \ \ \ \ \ \isacommand{from}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2413


\ Inv{\isacharunderscore}ES\ ES{\isacharunderscore}single\ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2414


\ {\isachardoublequoteopen}{\isacharbrackleft}{\isacharbrackright}\ {\isasymnotin}\ L\ {\isacharparenleft}rexp{\isacharunderscore}of\ xrhs\ X{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2415


\ \ \ \ \ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2416


{\isacharparenleft}simp\ add{\isacharcolon}Inv{\isacharunderscore}def\ ardenable{\isacharunderscore}def\ rexp{\isacharunderscore}of{\isacharunderscore}empty\ finite{\isacharunderscore}rhs{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2417


\ \ \ \ \isacommand{next}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2418


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2419


\ \ \ \ \ \ \isacommand{from}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2420


\ Inv{\isacharunderscore}ES\ ES{\isacharunderscore}single\ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2421


\ {\isachardoublequoteopen}finite\ xrhs{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2422


\ \ \ \ \ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2423


\ {\isacharparenleft}simp\ add{\isacharcolon}Inv{\isacharunderscore}def\ finite{\isacharunderscore}rhs{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2424


\ \ \ \ \isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2425


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2426


\ \ \ \ \isacommand{finally}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2427


\ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2428


\ {\isacharquery}thesis\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2429


\ simp\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2430


\ \ \isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2431


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2432


\ \ \isacommand{thus}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2433


\ {\isacharquery}thesis\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2434


\ auto\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2435


\isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2436


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2437


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2438


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2439


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2440


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2441


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2442


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2443


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2444


\ \ \ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2445


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2446


\ every{\isacharunderscore}eqcl{\isacharunderscore}has{\isacharunderscore}reg{\isacharcolon}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2447


\ \ \isakeyword{assumes}\ finite{\isacharunderscore}CS{\isacharcolon}\ {\isachardoublequoteopen}finite\ {\isacharparenleft}UNIV\ {\isacharslash}{\isacharslash}\ {\isacharparenleft}{\isasymapprox}Lang{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2448


\ \ \isakeyword{and}\ X{\isacharunderscore}in{\isacharunderscore}CS{\isacharcolon}\ {\isachardoublequoteopen}X\ {\isasymin}\ {\isacharparenleft}UNIV\ {\isacharslash}{\isacharslash}\ {\isacharparenleft}{\isasymapprox}Lang{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2449


\ \ \isakeyword{shows}\ {\isachardoublequoteopen}{\isasymexists}\ {\isacharparenleft}reg{\isacharcolon}{\isacharcolon}rexp{\isacharparenright}{\isachardot}\ L\ reg\ {\isacharequal}\ X{\isachardoublequoteclose}\ {\isacharparenleft}\isakeyword{is}\ {\isachardoublequoteopen}{\isasymexists}\ r{\isachardot}\ {\isacharquery}E\ r{\isachardoublequoteclose}{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2450


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2451


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2452


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2453


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2454


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2455


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2456


\isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2457


\ {\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2458


\ \ \isacommand{from}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2459


\ X{\isacharunderscore}in{\isacharunderscore}CS\ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2460


\ {\isachardoublequoteopen}{\isasymexists}\ xrhs{\isachardot}\ {\isacharparenleft}X{\isacharcomma}\ xrhs{\isacharparenright}\ {\isasymin}\ {\isacharparenleft}eqs\ {\isacharparenleft}UNIV\ \ {\isacharslash}{\isacharslash}\ {\isacharparenleft}{\isasymapprox}Lang{\isacharparenright}{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2461


\ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2462


\ {\isacharparenleft}auto\ simp{\isacharcolon}eqs{\isacharunderscore}def\ init{\isacharunderscore}rhs{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2463


\ \ \isacommand{then}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2464


\ \isacommand{obtain}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2465


\ ES\ xrhs\ \isakeyword{where}\ Inv{\isacharunderscore}ES{\isacharcolon}\ {\isachardoublequoteopen}Inv\ ES{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2466


\ \ \ \ \isakeyword{and}\ X{\isacharunderscore}in{\isacharunderscore}ES{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}X{\isacharcomma}\ xrhs{\isacharparenright}\ {\isasymin}\ ES{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2467


\ \ \ \ \isakeyword{and}\ card{\isacharunderscore}ES{\isacharcolon}\ {\isachardoublequoteopen}card\ ES\ {\isacharequal}\ {\isadigit{1}}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2468


\ \ \ \ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2469


\ finite{\isacharunderscore}CS\ X{\isacharunderscore}in{\isacharunderscore}CS\ init{\isacharunderscore}ES{\isacharunderscore}satisfy{\isacharunderscore}Inv\ iteration{\isacharunderscore}conc\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2470


\ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2471


\ blast\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2472


\ \ \isacommand{hence}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2473


\ ES{\isacharunderscore}single{\isacharunderscore}equa{\isacharcolon}\ {\isachardoublequoteopen}ES\ {\isacharequal}\ {\isacharbraceleft}{\isacharparenleft}X{\isacharcomma}\ xrhs{\isacharparenright}{\isacharbraceright}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2474


\ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2475


\ {\isacharparenleft}auto\ simp{\isacharcolon}Inv{\isacharunderscore}def\ dest{\isacharbang}{\isacharcolon}card{\isacharunderscore}Suc{\isacharunderscore}Diff{\isadigit{1}}\ simp{\isacharcolon}card{\isacharunderscore}eq{\isacharunderscore}{\isadigit{0}}{\isacharunderscore}iff{\isacharparenright}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2476


\ \ \isacommand{thus}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2477


\ {\isacharquery}thesis\ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2478


\ Inv{\isacharunderscore}ES\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2479


\ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2480


\ {\isacharparenleft}rule\ last{\isacharunderscore}cl{\isacharunderscore}exists{\isacharunderscore}rexp{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2481


\isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2482


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2483


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2484


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2485


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2486


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2487


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2488


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2489


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2490


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2491


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2492


\ finals{\isacharunderscore}in{\isacharunderscore}partitions{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2493


\ \ {\isachardoublequoteopen}finals\ Lang\ {\isasymsubseteq}\ {\isacharparenleft}UNIV\ {\isacharslash}{\isacharslash}\ {\isacharparenleft}{\isasymapprox}Lang{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2494


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2495


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2496


\ \ %













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2497


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2498


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2499


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2500


\isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2501


\ {\isacharparenleft}auto\ simp{\isacharcolon}finals{\isacharunderscore}def\ quotient{\isacharunderscore}def{\isacharparenright}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2502


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2503


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2504


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2505


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2506


\ \ \ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2507


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2508


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2509


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2510


\isacommand{theorem}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2511


\ hard{\isacharunderscore}direction{\isacharcolon}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2512


\ \ \isakeyword{assumes}\ finite{\isacharunderscore}CS{\isacharcolon}\ {\isachardoublequoteopen}finite\ {\isacharparenleft}UNIV\ {\isacharslash}{\isacharslash}\ {\isacharparenleft}{\isasymapprox}Lang{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2513


\ \ \isakeyword{shows}\ \ \ {\isachardoublequoteopen}{\isasymexists}\ {\isacharparenleft}reg{\isacharcolon}{\isacharcolon}rexp{\isacharparenright}{\isachardot}\ Lang\ {\isacharequal}\ L\ reg{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2514


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2515


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2516


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2517


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2518


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2519


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2520


\isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2521


\ {\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2522


\ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2523


\ {\isachardoublequoteopen}{\isasymforall}\ X\ {\isasymin}\ {\isacharparenleft}UNIV\ {\isacharslash}{\isacharslash}\ {\isacharparenleft}{\isasymapprox}Lang{\isacharparenright}{\isacharparenright}{\isachardot}\ {\isasymexists}\ {\isacharparenleft}reg{\isacharcolon}{\isacharcolon}rexp{\isacharparenright}{\isachardot}\ X\ {\isacharequal}\ L\ reg{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2524


\ \ \ \ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2525


\ finite{\isacharunderscore}CS\ every{\isacharunderscore}eqcl{\isacharunderscore}has{\isacharunderscore}reg\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2526


\ blast\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2527


\ \ \isacommand{then}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2528


\ \isacommand{obtain}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2529


\ f\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2530


\ \ \ \ \isakeyword{where}\ f{\isacharunderscore}prop{\isacharcolon}\ {\isachardoublequoteopen}{\isasymforall}\ X\ {\isasymin}\ {\isacharparenleft}UNIV\ {\isacharslash}{\isacharslash}\ {\isacharparenleft}{\isasymapprox}Lang{\isacharparenright}{\isacharparenright}{\isachardot}\ X\ {\isacharequal}\ L\ {\isacharparenleft}{\isacharparenleft}f\ X{\isacharparenright}{\isacharcolon}{\isacharcolon}rexp{\isacharparenright}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2531


\ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2532


\ {\isacharparenleft}auto\ dest{\isacharcolon}bchoice{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2533


\ \ \isacommand{def}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2534


\ rs\ {\isasymequiv}\ {\isachardoublequoteopen}f\ {\isacharbackquote}\ {\isacharparenleft}finals\ Lang{\isacharparenright}{\isachardoublequoteclose}\ \ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2535


\ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2536


\ {\isachardoublequoteopen}Lang\ {\isacharequal}\ {\isasymUnion}\ {\isacharparenleft}finals\ Lang{\isacharparenright}{\isachardoublequoteclose}\ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2537


\ lang{\isacharunderscore}is{\isacharunderscore}union{\isacharunderscore}of{\isacharunderscore}finals\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2538


\ auto\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2539


\ \ \isacommand{also}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2540


\ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2541


\ {\isachardoublequoteopen}{\isasymdots}\ {\isacharequal}\ L\ {\isacharparenleft}folds\ ALT\ NULL\ rs{\isacharparenright}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2542


\ \ \isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2543


\ {\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2544


\ \ \ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2545


\ {\isachardoublequoteopen}finite\ rs{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2546


\ \ \ \ \isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2547


\ {\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2548


\ \ \ \ \ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2549


\ {\isachardoublequoteopen}finite\ {\isacharparenleft}finals\ Lang{\isacharparenright}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2550


\ \ \ \ \ \ \ \ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2551


\ finite{\isacharunderscore}CS\ finals{\isacharunderscore}in{\isacharunderscore}partitions{\isacharbrackleft}of\ {\isachardoublequoteopen}Lang{\isachardoublequoteclose}{\isacharbrackright}\ \ \ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2552


\ \ \ \ \ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2553


\ {\isacharparenleft}erule{\isacharunderscore}tac\ finite{\isacharunderscore}subset{\isacharcomma}\ simp{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2554


\ \ \ \ \ \ \isacommand{thus}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2555


\ {\isacharquery}thesis\ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2556


\ rs{\isacharunderscore}def\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2557


\ auto\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2558


\ \ \ \ \isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2559


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2560


\ \ \ \ \isacommand{thus}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2561


\ {\isacharquery}thesis\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2562


\ \ \ \ \ \ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2563


\ f{\isacharunderscore}prop\ rs{\isacharunderscore}def\ finals{\isacharunderscore}in{\isacharunderscore}partitions{\isacharbrackleft}of\ {\isachardoublequoteopen}Lang{\isachardoublequoteclose}{\isacharbrackright}\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2564


\ auto\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2565


\ \ \isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2566


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2567


\ \ \isacommand{finally}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2568


\ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2569


\ {\isacharquery}thesis\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2570


\ blast\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2571


\isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2572


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2573


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2574


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2575


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2576


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2577


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2578


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2579


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2580


\isamarkupsection{Direction: \isa{regular\ language\ {\isasymRightarrow}finite\ partition}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2581


}













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2582


\isamarkuptrue%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2583


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2584


\isamarkupsubsection{The scheme for this direction%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2585


}













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2586


\isamarkuptrue%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2587


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2588


\begin{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2589


The following convenient notation \isa{x\ {\isasymapprox}Lang\ y} means:













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2590


  string \isa{x} and \isa{y} are equivalent with respect to 













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2591


  language \isa{Lang}.%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2592


\end{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2593


\isamarkuptrue%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2594


\isacommand{definition}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2595


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2596


\ \ str{\isacharunderscore}eq\ {\isacharparenleft}{\isachardoublequoteopen}{\isacharunderscore}\ {\isasymapprox}{\isacharunderscore}\ {\isacharunderscore}{\isachardoublequoteclose}{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2597


\isakeyword{where}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2598


\ \ {\isachardoublequoteopen}x\ {\isasymapprox}Lang\ y\ {\isasymequiv}\ {\isacharparenleft}x{\isacharcomma}\ y{\isacharparenright}\ {\isasymin}\ {\isacharparenleft}{\isasymapprox}Lang{\isacharparenright}{\isachardoublequoteclose}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2599


\begin{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2600


The very basic scheme to show the finiteness of the partion generated by a language \isa{Lang}













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2601


  is by attaching tags to every string. The set of tags are carfully choosen to make it finite.













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2602


  If it can be proved that strings with the same tag are equivlent with respect \isa{Lang},













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2603


  then the partition given rise by \isa{Lang} must be finite. The reason for this is a lemma 













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2604


  in standard library (\isa{finite{\isacharunderscore}imageD}), which says: if the image of an injective 













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2605


  function on a set \isa{A} is finite, then \isa{A} is finite. It can be shown that













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2606


  the function obtained by llifting \isa{tag}













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2607


  to the level of equalent classes (i.e. \isa{{\isacharparenleft}{\isacharparenleft}op\ {\isacharbackquote}{\isacharparenright}\ tag{\isacharparenright}}) is injective 













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2608


  (by lemma \isa{tag{\isacharunderscore}image{\isacharunderscore}injI}) and the image of this function is finite 













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2609


  (with the help of lemma \isa{finite{\isacharunderscore}tag{\isacharunderscore}imageI}).













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2610














f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2611


  BUT, I think this argument can be encapsulated by one lemma instead of the current presentation.%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2612


\end{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2613


\isamarkuptrue%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2614


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2615


\ eq{\isacharunderscore}class{\isacharunderscore}equalI{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2616


\ \ {\isachardoublequoteopen}{\isasymlbrakk}X\ {\isasymin}\ UNIV\ {\isacharslash}{\isacharslash}\ {\isasymapprox}lang{\isacharsemicolon}\ Y\ {\isasymin}\ UNIV\ {\isacharslash}{\isacharslash}\ {\isasymapprox}lang{\isacharsemicolon}\ x\ {\isasymin}\ X{\isacharsemicolon}\ y\ {\isasymin}\ Y{\isacharsemicolon}\ x\ {\isasymapprox}lang\ y{\isasymrbrakk}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2617


\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {\isasymLongrightarrow}\ X\ {\isacharequal}\ Y{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2618


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2619


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2620


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2621


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2622


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2623


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2624


\isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2625


\ {\isacharparenleft}auto\ simp{\isacharcolon}quotient{\isacharunderscore}def\ str{\isacharunderscore}eq{\isacharunderscore}rel{\isacharunderscore}def\ str{\isacharunderscore}eq{\isacharunderscore}def{\isacharparenright}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2626


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2627


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2628


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2629


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2630


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2631


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2632


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2633


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2634


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2635


\ tag{\isacharunderscore}image{\isacharunderscore}injI{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2636


\ \ \isakeyword{assumes}\ str{\isacharunderscore}inj{\isacharcolon}\ {\isachardoublequoteopen}{\isasymAnd}\ x\ y{\isachardot}\ tag\ x\ {\isacharequal}\ tag\ {\isacharparenleft}y{\isacharcolon}{\isacharcolon}string{\isacharparenright}\ {\isasymLongrightarrow}\ x\ {\isasymapprox}lang\ y{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2637


\ \ \isakeyword{shows}\ {\isachardoublequoteopen}inj{\isacharunderscore}on\ {\isacharparenleft}{\isacharparenleft}op\ {\isacharbackquote}{\isacharparenright}\ tag{\isacharparenright}\ {\isacharparenleft}UNIV\ {\isacharslash}{\isacharslash}\ {\isasymapprox}lang{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2638


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2639


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2640


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2641


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2642


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2643


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2644


\isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2645


{\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2646


\ \ \isacommand{{\isacharbraceleft}}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2647


\ \isacommand{fix}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2648


\ X\ Y\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2649


\ \ \ \ \isacommand{assume}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2650


\ X{\isacharunderscore}in{\isacharcolon}\ {\isachardoublequoteopen}X\ {\isasymin}\ UNIV\ {\isacharslash}{\isacharslash}\ {\isasymapprox}lang{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2651


\ \ \ \ \ \ \isakeyword{and}\ \ Y{\isacharunderscore}in{\isacharcolon}\ {\isachardoublequoteopen}Y\ {\isasymin}\ UNIV\ {\isacharslash}{\isacharslash}\ {\isasymapprox}lang{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2652


\ \ \ \ \ \ \isakeyword{and}\ \ tag{\isacharunderscore}eq{\isacharcolon}\ {\isachardoublequoteopen}tag\ {\isacharbackquote}\ X\ {\isacharequal}\ tag\ {\isacharbackquote}\ Y{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2653


\ \ \ \ \isacommand{then}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2654


\ \isacommand{obtain}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2655


\ x\ y\ \isakeyword{where}\ {\isachardoublequoteopen}x\ {\isasymin}\ X{\isachardoublequoteclose}\ \isakeyword{and}\ {\isachardoublequoteopen}y\ {\isasymin}\ Y{\isachardoublequoteclose}\ \isakeyword{and}\ {\isachardoublequoteopen}tag\ x\ {\isacharequal}\ tag\ y{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2656


\ \ \ \ \ \ \isacommand{unfolding}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2657


\ quotient{\isacharunderscore}def\ Image{\isacharunderscore}def\ str{\isacharunderscore}eq{\isacharunderscore}rel{\isacharunderscore}def\ str{\isacharunderscore}eq{\isacharunderscore}def\ image{\isacharunderscore}def\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2658


\ \ \ \ \ \ \isacommand{apply}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2659


\ simp\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2660


\ blast\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2661


\ \ \ \ \isacommand{with}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2662


\ X{\isacharunderscore}in\ Y{\isacharunderscore}in\ str{\isacharunderscore}inj\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2663


\ \ \ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2664


\ {\isachardoublequoteopen}X\ {\isacharequal}\ Y{\isachardoublequoteclose}\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2665


\ {\isacharparenleft}rule{\isacharunderscore}tac\ eq{\isacharunderscore}class{\isacharunderscore}equalI{\isacharcomma}\ simp{\isacharplus}{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2666


\ \ \isacommand{{\isacharbraceright}}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2667


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2668


\ \ \isacommand{thus}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2669


\ {\isacharquery}thesis\ \isacommand{unfolding}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2670


\ inj{\isacharunderscore}on{\isacharunderscore}def\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2671


\ auto\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2672


\isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2673


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2674


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2675


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2676


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2677


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2678


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2679


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2680


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2681


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2682


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2683


\ finite{\isacharunderscore}tag{\isacharunderscore}imageI{\isacharcolon}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2684


\ \ {\isachardoublequoteopen}finite\ {\isacharparenleft}range\ tag{\isacharparenright}\ {\isasymLongrightarrow}\ finite\ {\isacharparenleft}{\isacharparenleft}{\isacharparenleft}op\ {\isacharbackquote}{\isacharparenright}\ tag{\isacharparenright}\ {\isacharbackquote}\ S{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2685


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2686


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2687


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2688


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2689


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2690


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2691


\isacommand{apply}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2692


\ {\isacharparenleft}rule{\isacharunderscore}tac\ B\ {\isacharequal}\ {\isachardoublequoteopen}Pow\ {\isacharparenleft}tag\ {\isacharbackquote}\ UNIV{\isacharparenright}{\isachardoublequoteclose}\ \isakeyword{in}\ finite{\isacharunderscore}subset{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2693


\isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2694


\ {\isacharparenleft}auto\ simp\ add{\isacharcolon}image{\isacharunderscore}def\ Pow{\isacharunderscore}def{\isacharparenright}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2695


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2696


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2697


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2698


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2699


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2700


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2701


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2702


\isamarkupsubsection{A small theory for list difference%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2703


}













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2704


\isamarkuptrue%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2705


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2706


\begin{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2707


The notion of list diffrence is need to make proofs more readable.%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2708


\end{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2709


\isamarkuptrue%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2710


\isacommand{fun}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2711


\ list{\isacharunderscore}diff\ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharprime}a\ list\ {\isasymRightarrow}\ {\isacharprime}a\ list\ {\isasymRightarrow}\ {\isacharprime}a\ list{\isachardoublequoteclose}\ {\isacharparenleft}\isakeyword{infix}\ {\isachardoublequoteopen}{\isacharminus}{\isachardoublequoteclose}\ {\isadigit{5}}{\isadigit{1}}{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2712


\isakeyword{where}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2713


\ \ {\isachardoublequoteopen}list{\isacharunderscore}diff\ {\isacharbrackleft}{\isacharbrackright}\ \ xs\ {\isacharequal}\ {\isacharbrackleft}{\isacharbrackright}{\isachardoublequoteclose}\ {\isacharbar}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2714


\ \ {\isachardoublequoteopen}list{\isacharunderscore}diff\ {\isacharparenleft}x{\isacharhash}xs{\isacharparenright}\ {\isacharbrackleft}{\isacharbrackright}\ {\isacharequal}\ x{\isacharhash}xs{\isachardoublequoteclose}\ {\isacharbar}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2715


\ \ {\isachardoublequoteopen}list{\isacharunderscore}diff\ {\isacharparenleft}x{\isacharhash}xs{\isacharparenright}\ {\isacharparenleft}y{\isacharhash}ys{\isacharparenright}\ {\isacharequal}\ {\isacharparenleft}if\ x\ {\isacharequal}\ y\ then\ list{\isacharunderscore}diff\ xs\ ys\ else\ {\isacharparenleft}x{\isacharhash}xs{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2716


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2717


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2718


\ {\isacharbrackleft}simp{\isacharbrackright}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}x\ {\isacharat}\ y{\isacharparenright}\ {\isacharminus}\ x\ {\isacharequal}\ y{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2719


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2720


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2721


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2722


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2723


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2724


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2725


\isacommand{apply}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2726


\ {\isacharparenleft}induct\ x{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2727


\isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2728


\ {\isacharparenleft}case{\isacharunderscore}tac\ y{\isacharcomma}\ simp{\isacharplus}{\isacharparenright}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2729


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2730


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2731


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2732


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2733


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2734


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2735


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2736


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2737


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2738


\ {\isacharbrackleft}simp{\isacharbrackright}{\isacharcolon}\ {\isachardoublequoteopen}x\ {\isacharminus}\ x\ {\isacharequal}\ {\isacharbrackleft}{\isacharbrackright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2739


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2740


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2741


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2742


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2743


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2744


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2745


\isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2746


\ {\isacharparenleft}induct\ x{\isacharcomma}\ auto{\isacharparenright}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2747


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2748


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2749


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2750


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2751


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2752


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2753


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2754


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2755


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2756


\ {\isacharbrackleft}simp{\isacharbrackright}{\isacharcolon}\ {\isachardoublequoteopen}x\ {\isacharequal}\ xa\ {\isacharat}\ y\ {\isasymLongrightarrow}\ x\ {\isacharminus}\ xa\ {\isacharequal}\ y\ {\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2757


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2758


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2759


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2760


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2761


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2762


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2763


\isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2764


\ {\isacharparenleft}induct\ x{\isacharcomma}\ auto{\isacharparenright}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2765


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2766


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2767


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2768


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2769


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2770


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2771


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2772


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2773


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2774


\ {\isacharbrackleft}simp{\isacharbrackright}{\isacharcolon}\ {\isachardoublequoteopen}x\ {\isacharminus}\ {\isacharbrackleft}{\isacharbrackright}\ {\isacharequal}\ x{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2775


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2776


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2777


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2778


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2779


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2780


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2781


\isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2782


\ {\isacharparenleft}induct\ x{\isacharcomma}\ auto{\isacharparenright}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2783


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2784


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2785


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2786


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2787


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2788


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2789


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2790


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2791


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2792


\ {\isacharbrackleft}simp{\isacharbrackright}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}x\ {\isacharminus}\ y\ {\isacharequal}\ {\isacharbrackleft}{\isacharbrackright}{\isacharparenright}\ {\isasymLongrightarrow}\ {\isacharparenleft}x\ {\isasymle}\ y{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2793


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2794


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2795


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2796


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2797


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2798


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2799


\isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2800


{\isacharminus}\ \ \ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2801


\ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2802


\ {\isachardoublequoteopen}{\isasymexists}xa{\isachardot}\ x\ {\isacharequal}\ xa\ {\isacharat}\ {\isacharparenleft}x\ {\isacharminus}\ y{\isacharparenright}\ {\isasymand}\ xa\ {\isasymle}\ y{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2803


\ \ \ \ \isacommand{apply}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2804


\ {\isacharparenleft}rule\ list{\isacharunderscore}diff{\isachardot}induct{\isacharbrackleft}of\ {\isacharunderscore}\ x\ y{\isacharbrackright}{\isacharcomma}\ simp{\isacharplus}{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2805


\ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2806


\ {\isacharparenleft}clarsimp{\isacharcomma}\ rule{\isacharunderscore}tac\ x\ {\isacharequal}\ {\isachardoublequoteopen}y\ {\isacharhash}\ xa{\isachardoublequoteclose}\ \isakeyword{in}\ exI{\isacharcomma}\ simp{\isacharplus}{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2807


\ \ \isacommand{thus}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2808


\ {\isachardoublequoteopen}{\isacharparenleft}x\ {\isacharminus}\ y\ {\isacharequal}\ {\isacharbrackleft}{\isacharbrackright}{\isacharparenright}\ {\isasymLongrightarrow}\ {\isacharparenleft}x\ {\isasymle}\ y{\isacharparenright}{\isachardoublequoteclose}\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2809


\ simp\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2810


\isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2811


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2812


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2813


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2814


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2815


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2816


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2817


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2818


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2819


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2820


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2821


\ diff{\isacharunderscore}prefix{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2822


\ \ {\isachardoublequoteopen}{\isasymlbrakk}c\ {\isasymle}\ a\ {\isacharminus}\ b{\isacharsemicolon}\ b\ {\isasymle}\ a{\isasymrbrakk}\ {\isasymLongrightarrow}\ b\ {\isacharat}\ c\ {\isasymle}\ a{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2823


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2824


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2825


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2826


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2827


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2828


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2829


\isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2830


\ {\isacharparenleft}auto\ elim{\isacharcolon}prefixE{\isacharparenright}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2831


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2832


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2833


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2834


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2835


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2836


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2837


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2838


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2839


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2840


\ diff{\isacharunderscore}diff{\isacharunderscore}appd{\isacharcolon}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2841


\ \ {\isachardoublequoteopen}{\isasymlbrakk}c\ {\isacharless}\ a\ {\isacharminus}\ b{\isacharsemicolon}\ b\ {\isacharless}\ a{\isasymrbrakk}\ {\isasymLongrightarrow}\ {\isacharparenleft}a\ {\isacharminus}\ b{\isacharparenright}\ {\isacharminus}\ c\ {\isacharequal}\ a\ {\isacharminus}\ {\isacharparenleft}b\ {\isacharat}\ c{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2842


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2843


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2844


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2845


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2846


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2847


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2848


\isacommand{apply}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2849


\ {\isacharparenleft}clarsimp\ simp{\isacharcolon}strict{\isacharunderscore}prefix{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2850


\isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2851


\ {\isacharparenleft}drule\ diff{\isacharunderscore}prefix{\isacharcomma}\ auto\ elim{\isacharcolon}prefixE{\isacharparenright}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2852


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2853


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2854


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2855


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2856


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2857


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2858


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2859


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2860


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2861


\ app{\isacharunderscore}eq{\isacharunderscore}cases{\isacharbrackleft}rule{\isacharunderscore}format{\isacharbrackright}{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2862


\ \ {\isachardoublequoteopen}{\isasymforall}\ x\ {\isachardot}\ x\ {\isacharat}\ y\ {\isacharequal}\ m\ {\isacharat}\ n\ {\isasymlongrightarrow}\ {\isacharparenleft}x\ {\isasymle}\ m\ {\isasymor}\ m\ {\isasymle}\ x{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2863


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2864


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2865


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2866


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2867


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2868


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2869


\isacommand{apply}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2870


\ {\isacharparenleft}induct\ y{\isacharcomma}\ simp{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2871


\isacommand{apply}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2872


\ {\isacharparenleft}clarify{\isacharcomma}\ drule{\isacharunderscore}tac\ x\ {\isacharequal}\ {\isachardoublequoteopen}x\ {\isacharat}\ {\isacharbrackleft}a{\isacharbrackright}{\isachardoublequoteclose}\ \isakeyword{in}\ spec{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2873


\isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2874


\ {\isacharparenleft}clarsimp{\isacharcomma}\ auto\ simp{\isacharcolon}prefix{\isacharunderscore}def{\isacharparenright}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2875


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2876


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2877


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2878


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2879


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2880


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2881


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2882


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2883


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2884


\ app{\isacharunderscore}eq{\isacharunderscore}dest{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2885


\ \ {\isachardoublequoteopen}x\ {\isacharat}\ y\ {\isacharequal}\ m\ {\isacharat}\ n\ {\isasymLongrightarrow}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2886


\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {\isacharparenleft}x\ {\isasymle}\ m\ {\isasymand}\ {\isacharparenleft}m\ {\isacharminus}\ x{\isacharparenright}\ {\isacharat}\ n\ {\isacharequal}\ y{\isacharparenright}\ {\isasymor}\ {\isacharparenleft}m\ {\isasymle}\ x\ {\isasymand}\ {\isacharparenleft}x\ {\isacharminus}\ m{\isacharparenright}\ {\isacharat}\ y\ {\isacharequal}\ n{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2887


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2888


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2889


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2890


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2891


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2892


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2893


\isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2894


\ {\isacharparenleft}frule{\isacharunderscore}tac\ app{\isacharunderscore}eq{\isacharunderscore}cases{\isacharcomma}\ auto\ elim{\isacharcolon}prefixE{\isacharparenright}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2895


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2896


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2897


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2898


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2899


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2900


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2901


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2902


\isamarkupsubsection{Lemmas for basic cases%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2903


}













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2904


\isamarkuptrue%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2905


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2906


\begin{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2907


The the final result of this direction is in \isa{easier{\isacharunderscore}direction}, which













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2908


  is an induction on the structure of regular expressions. There is one case 













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2909


  for each regular expression operator. For basic operators such as \isa{NULL{\isacharcomma}\ EMPTY{\isacharcomma}\ CHAR\ c},













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2910


  the finiteness of their language partition can be established directly with no need













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2911


  of taggiing. This section contains several technical lemma for these base cases.













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2912














f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2913


  The inductive cases involve operators \isa{ALT{\isacharcomma}\ SEQ} and \isa{STAR}. 













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2914


  Tagging functions need to be defined individually for each of them. There will be one













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2915


  dedicated section for each of these cases, and each section goes virtually the same way:













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2916


  gives definition of the tagging function and prove that strings 













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2917


  with the same tag are equivalent.%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2918


\end{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2919


\isamarkuptrue%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2920


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2921


\ quot{\isacharunderscore}empty{\isacharunderscore}subset{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2922


\ \ {\isachardoublequoteopen}UNIV\ {\isacharslash}{\isacharslash}\ {\isacharparenleft}{\isasymapprox}{\isacharbraceleft}{\isacharbrackleft}{\isacharbrackright}{\isacharbraceright}{\isacharparenright}\ {\isasymsubseteq}\ {\isacharbraceleft}{\isacharbraceleft}{\isacharbrackleft}{\isacharbrackright}{\isacharbraceright}{\isacharcomma}\ UNIV\ {\isacharminus}\ {\isacharbraceleft}{\isacharbrackleft}{\isacharbrackright}{\isacharbraceright}{\isacharbraceright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2923


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2924


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2925


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2926


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2927


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2928


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2929


\isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2930


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2931


\ \ \isacommand{fix}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2932


\ x\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2933


\ \ \isacommand{assume}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2934


\ {\isachardoublequoteopen}x\ {\isasymin}\ UNIV\ {\isacharslash}{\isacharslash}\ {\isasymapprox}{\isacharbraceleft}{\isacharbrackleft}{\isacharbrackright}{\isacharbraceright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2935


\ \ \isacommand{then}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2936


\ \isacommand{obtain}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2937


\ y\ \isakeyword{where}\ h{\isacharcolon}\ {\isachardoublequoteopen}x\ {\isacharequal}\ {\isacharbraceleft}z{\isachardot}\ {\isacharparenleft}y{\isacharcomma}\ z{\isacharparenright}\ {\isasymin}\ {\isasymapprox}{\isacharbraceleft}{\isacharbrackleft}{\isacharbrackright}{\isacharbraceright}{\isacharbraceright}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2938


\ \ \ \ \isacommand{unfolding}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2939


\ quotient{\isacharunderscore}def\ Image{\isacharunderscore}def\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2940


\ blast\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2941


\ \ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2942


\ {\isachardoublequoteopen}x\ {\isasymin}\ {\isacharbraceleft}{\isacharbraceleft}{\isacharbrackleft}{\isacharbrackright}{\isacharbraceright}{\isacharcomma}\ UNIV\ {\isacharminus}\ {\isacharbraceleft}{\isacharbrackleft}{\isacharbrackright}{\isacharbraceright}{\isacharbraceright}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2943


\ \ \isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2944


\ {\isacharparenleft}cases\ {\isachardoublequoteopen}y\ {\isacharequal}\ {\isacharbrackleft}{\isacharbrackright}{\isachardoublequoteclose}{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2945


\ \ \ \ \isacommand{case}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2946


\ True\ \isacommand{with}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2947


\ h\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2948


\ \ \ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2949


\ {\isachardoublequoteopen}x\ {\isacharequal}\ {\isacharbraceleft}{\isacharbrackleft}{\isacharbrackright}{\isacharbraceright}{\isachardoublequoteclose}\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2950


\ {\isacharparenleft}auto\ simp{\isacharcolon}str{\isacharunderscore}eq{\isacharunderscore}rel{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2951


\ \ \ \ \isacommand{thus}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2952


\ {\isacharquery}thesis\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2953


\ simp\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2954


\ \ \isacommand{next}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2955


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2956


\ \ \ \ \isacommand{case}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2957


\ False\ \isacommand{with}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2958


\ h\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2959


\ \ \ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2960


\ {\isachardoublequoteopen}x\ {\isacharequal}\ UNIV\ {\isacharminus}\ {\isacharbraceleft}{\isacharbrackleft}{\isacharbrackright}{\isacharbraceright}{\isachardoublequoteclose}\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2961


\ {\isacharparenleft}auto\ simp{\isacharcolon}str{\isacharunderscore}eq{\isacharunderscore}rel{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2962


\ \ \ \ \isacommand{thus}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2963


\ {\isacharquery}thesis\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2964


\ simp\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2965


\ \ \isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2966


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2967


\isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2968


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2969


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2970


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2971


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2972


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2973


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2974


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2975


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2976


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2977


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2978


\ quot{\isacharunderscore}char{\isacharunderscore}subset{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2979


\ \ {\isachardoublequoteopen}UNIV\ {\isacharslash}{\isacharslash}\ {\isacharparenleft}{\isasymapprox}{\isacharbraceleft}{\isacharbrackleft}c{\isacharbrackright}{\isacharbraceright}{\isacharparenright}\ {\isasymsubseteq}\ {\isacharbraceleft}{\isacharbraceleft}{\isacharbrackleft}{\isacharbrackright}{\isacharbraceright}{\isacharcomma}{\isacharbraceleft}{\isacharbrackleft}c{\isacharbrackright}{\isacharbraceright}{\isacharcomma}\ UNIV\ {\isacharminus}\ {\isacharbraceleft}{\isacharbrackleft}{\isacharbrackright}{\isacharcomma}\ {\isacharbrackleft}c{\isacharbrackright}{\isacharbraceright}{\isacharbraceright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2980


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2981


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2982


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2983


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2984


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2985


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2986


\isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2987


\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2988


\ \ \isacommand{fix}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2989


\ x\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2990


\ \ \isacommand{assume}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2991


\ {\isachardoublequoteopen}x\ {\isasymin}\ UNIV\ {\isacharslash}{\isacharslash}\ {\isasymapprox}{\isacharbraceleft}{\isacharbrackleft}c{\isacharbrackright}{\isacharbraceright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2992


\ \ \isacommand{then}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2993


\ \isacommand{obtain}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2994


\ y\ \isakeyword{where}\ h{\isacharcolon}\ {\isachardoublequoteopen}x\ {\isacharequal}\ {\isacharbraceleft}z{\isachardot}\ {\isacharparenleft}y{\isacharcomma}\ z{\isacharparenright}\ {\isasymin}\ {\isasymapprox}{\isacharbraceleft}{\isacharbrackleft}c{\isacharbrackright}{\isacharbraceright}{\isacharbraceright}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2995


\ \ \ \ \isacommand{unfolding}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2996


\ quotient{\isacharunderscore}def\ Image{\isacharunderscore}def\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2997


\ blast\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2998


\ \ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  2999


\ {\isachardoublequoteopen}x\ {\isasymin}\ {\isacharbraceleft}{\isacharbraceleft}{\isacharbrackleft}{\isacharbrackright}{\isacharbraceright}{\isacharcomma}{\isacharbraceleft}{\isacharbrackleft}c{\isacharbrackright}{\isacharbraceright}{\isacharcomma}\ UNIV\ {\isacharminus}\ {\isacharbraceleft}{\isacharbrackleft}{\isacharbrackright}{\isacharcomma}\ {\isacharbrackleft}c{\isacharbrackright}{\isacharbraceright}{\isacharbraceright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3000


\ \ \isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3001


\ {\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3002


\ \ \ \ \isacommand{{\isacharbraceleft}}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3003


\ \isacommand{assume}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3004


\ {\isachardoublequoteopen}y\ {\isacharequal}\ {\isacharbrackleft}{\isacharbrackright}{\isachardoublequoteclose}\ \isacommand{hence}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3005


\ {\isachardoublequoteopen}x\ {\isacharequal}\ {\isacharbraceleft}{\isacharbrackleft}{\isacharbrackright}{\isacharbraceright}{\isachardoublequoteclose}\ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3006


\ h\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3007


\ \ \ \ \ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3008


\ {\isacharparenleft}auto\ simp{\isacharcolon}str{\isacharunderscore}eq{\isacharunderscore}rel{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3009


\ \ \ \ \isacommand{{\isacharbraceright}}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3010


\ \isacommand{moreover}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3011


\ \isacommand{{\isacharbraceleft}}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3012


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3013


\ \ \ \ \ \ \isacommand{assume}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3014


\ {\isachardoublequoteopen}y\ {\isacharequal}\ {\isacharbrackleft}c{\isacharbrackright}{\isachardoublequoteclose}\ \isacommand{hence}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3015


\ {\isachardoublequoteopen}x\ {\isacharequal}\ {\isacharbraceleft}{\isacharbrackleft}c{\isacharbrackright}{\isacharbraceright}{\isachardoublequoteclose}\ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3016


\ h\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3017


\ \ \ \ \ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3018


\ {\isacharparenleft}auto\ dest{\isacharbang}{\isacharcolon}spec{\isacharbrackleft}\isakeyword{where}\ x\ {\isacharequal}\ {\isachardoublequoteopen}{\isacharbrackleft}{\isacharbrackright}{\isachardoublequoteclose}{\isacharbrackright}\ simp{\isacharcolon}str{\isacharunderscore}eq{\isacharunderscore}rel{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3019


\ \ \ \ \isacommand{{\isacharbraceright}}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3020


\ \isacommand{moreover}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3021


\ \isacommand{{\isacharbraceleft}}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3022


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3023


\ \ \ \ \ \ \isacommand{assume}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3024


\ {\isachardoublequoteopen}y\ {\isasymnoteq}\ {\isacharbrackleft}{\isacharbrackright}{\isachardoublequoteclose}\ \isakeyword{and}\ {\isachardoublequoteopen}y\ {\isasymnoteq}\ {\isacharbrackleft}c{\isacharbrackright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3025


\ \ \ \ \ \ \isacommand{hence}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3026


\ {\isachardoublequoteopen}{\isasymforall}\ z{\isachardot}\ {\isacharparenleft}y\ {\isacharat}\ z{\isacharparenright}\ {\isasymnoteq}\ {\isacharbrackleft}c{\isacharbrackright}{\isachardoublequoteclose}\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3027


\ {\isacharparenleft}case{\isacharunderscore}tac\ y{\isacharcomma}\ auto{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3028


\ \ \ \ \ \ \isacommand{moreover}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3029


\ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3030


\ {\isachardoublequoteopen}{\isasymAnd}\ p{\isachardot}\ {\isacharparenleft}p\ {\isasymnoteq}\ {\isacharbrackleft}{\isacharbrackright}\ {\isasymand}\ p\ {\isasymnoteq}\ {\isacharbrackleft}c{\isacharbrackright}{\isacharparenright}\ {\isacharequal}\ {\isacharparenleft}{\isasymforall}\ q{\isachardot}\ p\ {\isacharat}\ q\ {\isasymnoteq}\ {\isacharbrackleft}c{\isacharbrackright}{\isacharparenright}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3031


\ \ \ \ \ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3032


\ {\isacharparenleft}case{\isacharunderscore}tac\ p{\isacharcomma}\ auto{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3033


\ \ \ \ \ \ \isacommand{ultimately}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3034


\ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3035


\ {\isachardoublequoteopen}x\ {\isacharequal}\ UNIV\ {\isacharminus}\ {\isacharbraceleft}{\isacharbrackleft}{\isacharbrackright}{\isacharcomma}{\isacharbrackleft}c{\isacharbrackright}{\isacharbraceright}{\isachardoublequoteclose}\ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3036


\ h\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3037


\ \ \ \ \ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3038


\ {\isacharparenleft}auto\ simp\ add{\isacharcolon}str{\isacharunderscore}eq{\isacharunderscore}rel{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3039


\ \ \ \ \isacommand{{\isacharbraceright}}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3040


\ \isacommand{ultimately}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3041


\ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3042


\ {\isacharquery}thesis\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3043


\ blast\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3044


\ \ \isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3045


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3046


\isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3047


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3048


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3049


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3050


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3051


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3052


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3053


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3054


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3055


\isamarkupsubsection{The case for \isa{SEQ}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3056


}













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3057


\isamarkuptrue%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3058


\isacommand{definition}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3059


\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3060


\ \ {\isachardoublequoteopen}tag{\isacharunderscore}str{\isacharunderscore}SEQ\ L\isactrlisub {\isadigit{1}}\ L\isactrlisub {\isadigit{2}}\ x\ {\isasymequiv}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3061


\ \ \ \ \ \ \ {\isacharparenleft}{\isacharparenleft}{\isasymapprox}L\isactrlisub {\isadigit{1}}{\isacharparenright}\ {\isacharbackquote}{\isacharbackquote}\ {\isacharbraceleft}x{\isacharbraceright}{\isacharcomma}\ {\isacharbraceleft}{\isacharparenleft}{\isasymapprox}L\isactrlisub {\isadigit{2}}{\isacharparenright}\ {\isacharbackquote}{\isacharbackquote}\ {\isacharbraceleft}x\ {\isacharminus}\ xa{\isacharbraceright}{\isacharbar}\ xa{\isachardot}\ \ xa\ {\isasymle}\ x\ {\isasymand}\ xa\ {\isasymin}\ L\isactrlisub {\isadigit{1}}{\isacharbraceright}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3062


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3063


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3064


\ tag{\isacharunderscore}str{\isacharunderscore}seq{\isacharunderscore}range{\isacharunderscore}finite{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3065


\ \ {\isachardoublequoteopen}{\isasymlbrakk}finite\ {\isacharparenleft}UNIV\ {\isacharslash}{\isacharslash}\ {\isasymapprox}L\isactrlisub {\isadigit{1}}{\isacharparenright}{\isacharsemicolon}\ finite\ {\isacharparenleft}UNIV\ {\isacharslash}{\isacharslash}\ {\isasymapprox}L\isactrlisub {\isadigit{2}}{\isacharparenright}{\isasymrbrakk}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3066


\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {\isasymLongrightarrow}\ finite\ {\isacharparenleft}range\ {\isacharparenleft}tag{\isacharunderscore}str{\isacharunderscore}SEQ\ L\isactrlisub {\isadigit{1}}\ L\isactrlisub {\isadigit{2}}{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3067


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3068


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3069


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3070


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3071


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3072


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3073


\isacommand{apply}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3074


\ {\isacharparenleft}rule{\isacharunderscore}tac\ B\ {\isacharequal}\ {\isachardoublequoteopen}{\isacharparenleft}UNIV\ {\isacharslash}{\isacharslash}\ {\isasymapprox}L\isactrlisub {\isadigit{1}}{\isacharparenright}\ {\isasymtimes}\ {\isacharparenleft}Pow\ {\isacharparenleft}UNIV\ {\isacharslash}{\isacharslash}\ {\isasymapprox}L\isactrlisub {\isadigit{2}}{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\ \isakeyword{in}\ finite{\isacharunderscore}subset{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3075


\isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3076


\ {\isacharparenleft}auto\ simp{\isacharcolon}tag{\isacharunderscore}str{\isacharunderscore}SEQ{\isacharunderscore}def\ Image{\isacharunderscore}def\ quotient{\isacharunderscore}def\ split{\isacharcolon}if{\isacharunderscore}splits{\isacharparenright}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3077


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3078


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3079


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3080


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3081


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3082


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3083


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3084


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3085


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3086


\ append{\isacharunderscore}seq{\isacharunderscore}elim{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3087


\ \ \isakeyword{assumes}\ {\isachardoublequoteopen}x\ {\isacharat}\ y\ {\isasymin}\ L\isactrlisub {\isadigit{1}}\ {\isacharsemicolon}{\isacharsemicolon}\ L\isactrlisub {\isadigit{2}}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3088


\ \ \isakeyword{shows}\ {\isachardoublequoteopen}{\isacharparenleft}{\isasymexists}\ xa\ {\isasymle}\ x{\isachardot}\ xa\ {\isasymin}\ L\isactrlisub {\isadigit{1}}\ {\isasymand}\ {\isacharparenleft}x\ {\isacharminus}\ xa{\isacharparenright}\ {\isacharat}\ y\ {\isasymin}\ L\isactrlisub {\isadigit{2}}{\isacharparenright}\ {\isasymor}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3089


\ \ \ \ \ \ \ \ \ \ {\isacharparenleft}{\isasymexists}\ ya\ {\isasymle}\ y{\isachardot}\ {\isacharparenleft}x\ {\isacharat}\ ya{\isacharparenright}\ {\isasymin}\ L\isactrlisub {\isadigit{1}}\ {\isasymand}\ {\isacharparenleft}y\ {\isacharminus}\ ya{\isacharparenright}\ {\isasymin}\ L\isactrlisub {\isadigit{2}}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3090


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3091


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3092


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3093


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3094


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3095


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3096


\isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3097


{\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3098


\ \ \isacommand{from}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3099


\ assms\ \isacommand{obtain}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3100


\ s\isactrlisub {\isadigit{1}}\ s\isactrlisub {\isadigit{2}}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3101


\ \ \ \ \isakeyword{where}\ {\isachardoublequoteopen}x\ {\isacharat}\ y\ {\isacharequal}\ s\isactrlisub {\isadigit{1}}\ {\isacharat}\ s\isactrlisub {\isadigit{2}}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3102


\ \ \ \ \isakeyword{and}\ in{\isacharunderscore}seq{\isacharcolon}\ {\isachardoublequoteopen}s\isactrlisub {\isadigit{1}}\ {\isasymin}\ L\isactrlisub {\isadigit{1}}\ {\isasymand}\ s\isactrlisub {\isadigit{2}}\ {\isasymin}\ L\isactrlisub {\isadigit{2}}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3103


\ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3104


\ {\isacharparenleft}auto\ simp{\isacharcolon}Seq{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3105


\ \ \isacommand{hence}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3106


\ {\isachardoublequoteopen}{\isacharparenleft}x\ {\isasymle}\ s\isactrlisub {\isadigit{1}}\ {\isasymand}\ {\isacharparenleft}s\isactrlisub {\isadigit{1}}\ {\isacharminus}\ x{\isacharparenright}\ {\isacharat}\ s\isactrlisub {\isadigit{2}}\ {\isacharequal}\ y{\isacharparenright}\ {\isasymor}\ {\isacharparenleft}s\isactrlisub {\isadigit{1}}\ {\isasymle}\ x\ {\isasymand}\ {\isacharparenleft}x\ {\isacharminus}\ s\isactrlisub {\isadigit{1}}{\isacharparenright}\ {\isacharat}\ y\ {\isacharequal}\ s\isactrlisub {\isadigit{2}}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3107


\ \ \ \ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3108


\ app{\isacharunderscore}eq{\isacharunderscore}dest\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3109


\ auto\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3110


\ \ \isacommand{moreover}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3111


\ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3112


\ {\isachardoublequoteopen}{\isasymlbrakk}x\ {\isasymle}\ s\isactrlisub {\isadigit{1}}{\isacharsemicolon}\ {\isacharparenleft}s\isactrlisub {\isadigit{1}}\ {\isacharminus}\ x{\isacharparenright}\ {\isacharat}\ s\isactrlisub {\isadigit{2}}\ {\isacharequal}\ y{\isasymrbrakk}\ {\isasymLongrightarrow}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3113


\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {\isasymexists}\ ya\ {\isasymle}\ y{\isachardot}\ {\isacharparenleft}x\ {\isacharat}\ ya{\isacharparenright}\ {\isasymin}\ L\isactrlisub {\isadigit{1}}\ {\isasymand}\ {\isacharparenleft}y\ {\isacharminus}\ ya{\isacharparenright}\ {\isasymin}\ L\isactrlisub {\isadigit{2}}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3114


\ \ \ \ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3115


\ in{\isacharunderscore}seq\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3116


\ {\isacharparenleft}rule{\isacharunderscore}tac\ x\ {\isacharequal}\ {\isachardoublequoteopen}s\isactrlisub {\isadigit{1}}\ {\isacharminus}\ x{\isachardoublequoteclose}\ \isakeyword{in}\ exI{\isacharcomma}\ auto\ elim{\isacharcolon}prefixE{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3117


\ \ \isacommand{moreover}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3118


\ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3119


\ {\isachardoublequoteopen}{\isasymlbrakk}s\isactrlisub {\isadigit{1}}\ {\isasymle}\ x{\isacharsemicolon}\ {\isacharparenleft}x\ {\isacharminus}\ s\isactrlisub {\isadigit{1}}{\isacharparenright}\ {\isacharat}\ y\ {\isacharequal}\ s\isactrlisub {\isadigit{2}}{\isasymrbrakk}\ {\isasymLongrightarrow}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3120


\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {\isasymexists}\ xa\ {\isasymle}\ x{\isachardot}\ xa\ {\isasymin}\ L\isactrlisub {\isadigit{1}}\ {\isasymand}\ {\isacharparenleft}x\ {\isacharminus}\ xa{\isacharparenright}\ {\isacharat}\ y\ {\isasymin}\ L\isactrlisub {\isadigit{2}}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3121


\ \ \ \ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3122


\ in{\isacharunderscore}seq\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3123


\ {\isacharparenleft}rule{\isacharunderscore}tac\ x\ {\isacharequal}\ s\isactrlisub {\isadigit{1}}\ \isakeyword{in}\ exI{\isacharcomma}\ auto{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3124


\ \ \isacommand{ultimately}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3125


\ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3126


\ {\isacharquery}thesis\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3127


\ blast\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3128


\isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3129


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3130


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3131


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3132


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3133


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3134


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3135


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3136


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3137


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3138


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3139


\ tag{\isacharunderscore}str{\isacharunderscore}SEQ{\isacharunderscore}injI{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3140


\ \ {\isachardoublequoteopen}tag{\isacharunderscore}str{\isacharunderscore}SEQ\ L\isactrlisub {\isadigit{1}}\ L\isactrlisub {\isadigit{2}}\ m\ {\isacharequal}\ tag{\isacharunderscore}str{\isacharunderscore}SEQ\ L\isactrlisub {\isadigit{1}}\ L\isactrlisub {\isadigit{2}}\ n\ {\isasymLongrightarrow}\ m\ {\isasymapprox}{\isacharparenleft}L\isactrlisub {\isadigit{1}}\ {\isacharsemicolon}{\isacharsemicolon}\ L\isactrlisub {\isadigit{2}}{\isacharparenright}\ n{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3141


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3142


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3143


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3144


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3145


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3146


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3147


\isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3148


{\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3149


\ \ \isacommand{{\isacharbraceleft}}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3150


\ \isacommand{fix}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3151


\ x\ y\ z\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3152


\ \ \ \ \isacommand{assume}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3153


\ xz{\isacharunderscore}in{\isacharunderscore}seq{\isacharcolon}\ {\isachardoublequoteopen}x\ {\isacharat}\ z\ {\isasymin}\ L\isactrlisub {\isadigit{1}}\ {\isacharsemicolon}{\isacharsemicolon}\ L\isactrlisub {\isadigit{2}}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3154


\ \ \ \ \isakeyword{and}\ tag{\isacharunderscore}xy{\isacharcolon}\ {\isachardoublequoteopen}tag{\isacharunderscore}str{\isacharunderscore}SEQ\ L\isactrlisub {\isadigit{1}}\ L\isactrlisub {\isadigit{2}}\ x\ {\isacharequal}\ tag{\isacharunderscore}str{\isacharunderscore}SEQ\ L\isactrlisub {\isadigit{1}}\ L\isactrlisub {\isadigit{2}}\ y{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3155


\ \ \ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3156


{\isachardoublequoteopen}y\ {\isacharat}\ z\ {\isasymin}\ L\isactrlisub {\isadigit{1}}\ {\isacharsemicolon}{\isacharsemicolon}\ L\isactrlisub {\isadigit{2}}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3157


\ \ \ \ \isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3158


{\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3159


\ \ \ \ \ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3160


\ {\isachardoublequoteopen}{\isacharparenleft}{\isasymexists}\ xa\ {\isasymle}\ x{\isachardot}\ xa\ {\isasymin}\ L\isactrlisub {\isadigit{1}}\ {\isasymand}\ {\isacharparenleft}x\ {\isacharminus}\ xa{\isacharparenright}\ {\isacharat}\ z\ {\isasymin}\ L\isactrlisub {\isadigit{2}}{\isacharparenright}\ {\isasymor}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3161


\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {\isacharparenleft}{\isasymexists}\ za\ {\isasymle}\ z{\isachardot}\ {\isacharparenleft}x\ {\isacharat}\ za{\isacharparenright}\ {\isasymin}\ L\isactrlisub {\isadigit{1}}\ {\isasymand}\ {\isacharparenleft}z\ {\isacharminus}\ za{\isacharparenright}\ {\isasymin}\ L\isactrlisub {\isadigit{2}}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3162


\ \ \ \ \ \ \ \ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3163


\ xz{\isacharunderscore}in{\isacharunderscore}seq\ append{\isacharunderscore}seq{\isacharunderscore}elim\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3164


\ simp\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3165


\ \ \ \ \ \ \isacommand{moreover}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3166


\ \isacommand{{\isacharbraceleft}}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3167


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3168


\ \ \ \ \ \ \ \ \isacommand{fix}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3169


\ xa\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3170


\ \ \ \ \ \ \ \ \isacommand{assume}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3171


\ h{\isadigit{1}}{\isacharcolon}\ {\isachardoublequoteopen}xa\ {\isasymle}\ x{\isachardoublequoteclose}\ \isakeyword{and}\ h{\isadigit{2}}{\isacharcolon}\ {\isachardoublequoteopen}xa\ {\isasymin}\ L\isactrlisub {\isadigit{1}}{\isachardoublequoteclose}\ \isakeyword{and}\ h{\isadigit{3}}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}x\ {\isacharminus}\ xa{\isacharparenright}\ {\isacharat}\ z\ {\isasymin}\ L\isactrlisub {\isadigit{2}}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3172


\ \ \ \ \ \ \ \ \isacommand{obtain}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3173


\ ya\ \isakeyword{where}\ {\isachardoublequoteopen}ya\ {\isasymle}\ y{\isachardoublequoteclose}\ \isakeyword{and}\ {\isachardoublequoteopen}ya\ {\isasymin}\ L\isactrlisub {\isadigit{1}}{\isachardoublequoteclose}\ \isakeyword{and}\ {\isachardoublequoteopen}{\isacharparenleft}y\ {\isacharminus}\ ya{\isacharparenright}\ {\isacharat}\ z\ {\isasymin}\ L\isactrlisub {\isadigit{2}}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3174


\ \ \ \ \ \ \ \ \isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3175


\ {\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3176


\ \ \ \ \ \ \ \ \ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3177


\ {\isachardoublequoteopen}{\isasymexists}\ ya{\isachardot}\ \ ya\ {\isasymle}\ y\ {\isasymand}\ ya\ {\isasymin}\ L\isactrlisub {\isadigit{1}}\ {\isasymand}\ {\isacharparenleft}x\ {\isacharminus}\ xa{\isacharparenright}\ {\isasymapprox}L\isactrlisub {\isadigit{2}}\ {\isacharparenleft}y\ {\isacharminus}\ ya{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3178


\ \ \ \ \ \ \ \ \ \ \isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3179


\ {\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3180


\ \ \ \ \ \ \ \ \ \ \ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3181


\ {\isachardoublequoteopen}{\isacharbraceleft}{\isasymapprox}L\isactrlisub {\isadigit{2}}\ {\isacharbackquote}{\isacharbackquote}\ {\isacharbraceleft}x\ {\isacharminus}\ xa{\isacharbraceright}\ {\isacharbar}xa{\isachardot}\ xa\ {\isasymle}\ x\ {\isasymand}\ xa\ {\isasymin}\ L\isactrlisub {\isadigit{1}}{\isacharbraceright}\ {\isacharequal}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3182


\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {\isacharbraceleft}{\isasymapprox}L\isactrlisub {\isadigit{2}}\ {\isacharbackquote}{\isacharbackquote}\ {\isacharbraceleft}y\ {\isacharminus}\ xa{\isacharbraceright}\ {\isacharbar}xa{\isachardot}\ xa\ {\isasymle}\ y\ {\isasymand}\ xa\ {\isasymin}\ L\isactrlisub {\isadigit{1}}{\isacharbraceright}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3183


\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {\isacharparenleft}\isakeyword{is}\ {\isachardoublequoteopen}{\isacharquery}Left\ {\isacharequal}\ {\isacharquery}Right{\isachardoublequoteclose}{\isacharparenright}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3184


\ \ \ \ \ \ \ \ \ \ \ \ \ \ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3185


\ h{\isadigit{1}}\ tag{\isacharunderscore}xy\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3186


\ {\isacharparenleft}auto\ simp{\isacharcolon}tag{\isacharunderscore}str{\isacharunderscore}SEQ{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3187


\ \ \ \ \ \ \ \ \ \ \ \ \isacommand{moreover}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3188


\ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3189


\ {\isachardoublequoteopen}{\isasymapprox}L\isactrlisub {\isadigit{2}}\ {\isacharbackquote}{\isacharbackquote}\ {\isacharbraceleft}x\ {\isacharminus}\ xa{\isacharbraceright}\ {\isasymin}\ {\isacharquery}Left{\isachardoublequoteclose}\ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3190


\ h{\isadigit{1}}\ h{\isadigit{2}}\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3191


\ auto\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3192


\ \ \ \ \ \ \ \ \ \ \ \ \isacommand{ultimately}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3193


\ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3194


\ {\isachardoublequoteopen}{\isasymapprox}L\isactrlisub {\isadigit{2}}\ {\isacharbackquote}{\isacharbackquote}\ {\isacharbraceleft}x\ {\isacharminus}\ xa{\isacharbraceright}\ {\isasymin}\ {\isacharquery}Right{\isachardoublequoteclose}\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3195


\ simp\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3196


\ \ \ \ \ \ \ \ \ \ \ \ \isacommand{thus}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3197


\ {\isacharquery}thesis\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3198


\ {\isacharparenleft}auto\ simp{\isacharcolon}Image{\isacharunderscore}def\ str{\isacharunderscore}eq{\isacharunderscore}rel{\isacharunderscore}def\ str{\isacharunderscore}eq{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3199


\ \ \ \ \ \ \ \ \ \ \isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3200


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3201


\ \ \ \ \ \ \ \ \ \ \isacommand{with}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3202


\ prems\ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3203


\ {\isacharquery}thesis\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3204


\ {\isacharparenleft}auto\ simp{\isacharcolon}str{\isacharunderscore}eq{\isacharunderscore}rel{\isacharunderscore}def\ str{\isacharunderscore}eq{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3205


\ \ \ \ \ \ \ \ \isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3206


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3207


\ \ \ \ \ \ \ \ \isacommand{hence}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3208


\ {\isachardoublequoteopen}y\ {\isacharat}\ z\ {\isasymin}\ L\isactrlisub {\isadigit{1}}\ {\isacharsemicolon}{\isacharsemicolon}\ L\isactrlisub {\isadigit{2}}{\isachardoublequoteclose}\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3209


\ {\isacharparenleft}erule{\isacharunderscore}tac\ prefixE{\isacharcomma}\ auto\ simp{\isacharcolon}Seq{\isacharunderscore}def{\isacharparenright}\ \ \ \ \ \ \ \ \ \ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3210


\ \ \ \ \ \ \isacommand{{\isacharbraceright}}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3211


\ \isacommand{moreover}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3212


\ \isacommand{{\isacharbraceleft}}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3213


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3214


\ \ \ \ \ \ \ \ \isacommand{fix}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3215


\ za\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3216


\ \ \ \ \ \ \ \ \isacommand{assume}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3217


\ h{\isadigit{1}}{\isacharcolon}\ {\isachardoublequoteopen}za\ {\isasymle}\ z{\isachardoublequoteclose}\ \isakeyword{and}\ h{\isadigit{2}}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}x\ {\isacharat}\ za{\isacharparenright}\ {\isasymin}\ L\isactrlisub {\isadigit{1}}{\isachardoublequoteclose}\ \isakeyword{and}\ h{\isadigit{3}}{\isacharcolon}\ {\isachardoublequoteopen}z\ {\isacharminus}\ za\ {\isasymin}\ L\isactrlisub {\isadigit{2}}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3218


\ \ \ \ \ \ \ \ \isacommand{hence}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3219


\ {\isachardoublequoteopen}y\ {\isacharat}\ za\ {\isasymin}\ L\isactrlisub {\isadigit{1}}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3220


\ \ \ \ \ \ \ \ \isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3221


{\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3222


\ \ \ \ \ \ \ \ \ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3223


\ {\isachardoublequoteopen}{\isasymapprox}L\isactrlisub {\isadigit{1}}\ {\isacharbackquote}{\isacharbackquote}\ {\isacharbraceleft}x{\isacharbraceright}\ {\isacharequal}\ {\isasymapprox}L\isactrlisub {\isadigit{1}}\ {\isacharbackquote}{\isacharbackquote}\ {\isacharbraceleft}y{\isacharbraceright}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3224


\ \ \ \ \ \ \ \ \ \ \ \ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3225


\ h{\isadigit{1}}\ tag{\isacharunderscore}xy\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3226


\ {\isacharparenleft}auto\ simp{\isacharcolon}tag{\isacharunderscore}str{\isacharunderscore}SEQ{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3227


\ \ \ \ \ \ \ \ \ \ \isacommand{with}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3228


\ h{\isadigit{2}}\ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3229


\ {\isacharquery}thesis\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3230


\ \ \ \ \ \ \ \ \ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3231


\ {\isacharparenleft}auto\ simp{\isacharcolon}Image{\isacharunderscore}def\ str{\isacharunderscore}eq{\isacharunderscore}rel{\isacharunderscore}def\ str{\isacharunderscore}eq{\isacharunderscore}def{\isacharparenright}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3232


\ \ \ \ \ \ \ \ \isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3233


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3234


\ \ \ \ \ \ \ \ \isacommand{with}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3235


\ h{\isadigit{1}}\ h{\isadigit{3}}\ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3236


\ {\isachardoublequoteopen}y\ {\isacharat}\ z\ {\isasymin}\ L\isactrlisub {\isadigit{1}}\ {\isacharsemicolon}{\isacharsemicolon}\ L\isactrlisub {\isadigit{2}}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3237


\ \ \ \ \ \ \ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3238


\ {\isacharparenleft}drule{\isacharunderscore}tac\ A\ {\isacharequal}\ L\isactrlisub {\isadigit{1}}\ \isakeyword{in}\ seq{\isacharunderscore}intro{\isacharcomma}\ auto\ elim{\isacharcolon}prefixE{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3239


\ \ \ \ \ \ \isacommand{{\isacharbraceright}}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3240


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3241


\ \ \ \ \ \ \isacommand{ultimately}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3242


\ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3243


\ {\isacharquery}thesis\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3244


\ blast\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3245


\ \ \ \ \isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3246


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3247


\ \ \isacommand{{\isacharbraceright}}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3248


\ \isacommand{thus}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3249


\ {\isachardoublequoteopen}tag{\isacharunderscore}str{\isacharunderscore}SEQ\ L\isactrlisub {\isadigit{1}}\ L\isactrlisub {\isadigit{2}}\ m\ {\isacharequal}\ tag{\isacharunderscore}str{\isacharunderscore}SEQ\ L\isactrlisub {\isadigit{1}}\ L\isactrlisub {\isadigit{2}}\ n\ {\isasymLongrightarrow}\ m\ {\isasymapprox}{\isacharparenleft}L\isactrlisub {\isadigit{1}}\ {\isacharsemicolon}{\isacharsemicolon}\ L\isactrlisub {\isadigit{2}}{\isacharparenright}\ n{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3250


\ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3251


\ {\isacharparenleft}auto\ simp\ add{\isacharcolon}\ str{\isacharunderscore}eq{\isacharunderscore}def\ str{\isacharunderscore}eq{\isacharunderscore}rel{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3252


\isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3253


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3254


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3255


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3256


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3257


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3258


\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3259


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3260


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3261


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3262


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3263


\ quot{\isacharunderscore}seq{\isacharunderscore}finiteI{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3264


\ \ \isakeyword{assumes}\ finite{\isadigit{1}}{\isacharcolon}\ {\isachardoublequoteopen}finite\ {\isacharparenleft}UNIV\ {\isacharslash}{\isacharslash}\ {\isasymapprox}{\isacharparenleft}L\isactrlisub {\isadigit{1}}{\isacharcolon}{\isacharcolon}string\ set{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3265


\ \ \isakeyword{and}\ finite{\isadigit{2}}{\isacharcolon}\ {\isachardoublequoteopen}finite\ {\isacharparenleft}UNIV\ {\isacharslash}{\isacharslash}\ {\isasymapprox}L\isactrlisub {\isadigit{2}}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3266


\ \ \isakeyword{shows}\ {\isachardoublequoteopen}finite\ {\isacharparenleft}UNIV\ {\isacharslash}{\isacharslash}\ {\isasymapprox}{\isacharparenleft}L\isactrlisub {\isadigit{1}}\ {\isacharsemicolon}{\isacharsemicolon}\ L\isactrlisub {\isadigit{2}}{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3267


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3268


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3269


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3270


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3271


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3272


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3273


\isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3274


{\isacharparenleft}rule{\isacharunderscore}tac\ f\ {\isacharequal}\ {\isachardoublequoteopen}{\isacharparenleft}op\ {\isacharbackquote}{\isacharparenright}\ {\isacharparenleft}tag{\isacharunderscore}str{\isacharunderscore}SEQ\ L\isactrlisub {\isadigit{1}}\ L\isactrlisub {\isadigit{2}}{\isacharparenright}{\isachardoublequoteclose}\ \isakeyword{in}\ finite{\isacharunderscore}imageD{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3275


\ \ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3276


\ {\isachardoublequoteopen}finite\ {\isacharparenleft}op\ {\isacharbackquote}\ {\isacharparenleft}tag{\isacharunderscore}str{\isacharunderscore}SEQ\ L\isactrlisub {\isadigit{1}}\ L\isactrlisub {\isadigit{2}}{\isacharparenright}\ {\isacharbackquote}\ UNIV\ {\isacharslash}{\isacharslash}\ {\isasymapprox}L\isactrlisub {\isadigit{1}}\ {\isacharsemicolon}{\isacharsemicolon}\ L\isactrlisub {\isadigit{2}}{\isacharparenright}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3277


\ \ \ \ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3278


\ finite{\isadigit{1}}\ finite{\isadigit{2}}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3279


\ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3280


\ {\isacharparenleft}auto\ intro{\isacharcolon}finite{\isacharunderscore}tag{\isacharunderscore}imageI\ tag{\isacharunderscore}str{\isacharunderscore}seq{\isacharunderscore}range{\isacharunderscore}finite{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3281


\isacommand{next}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3282


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3283


\ \ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3284


\ \ {\isachardoublequoteopen}inj{\isacharunderscore}on\ {\isacharparenleft}op\ {\isacharbackquote}\ {\isacharparenleft}tag{\isacharunderscore}str{\isacharunderscore}SEQ\ L\isactrlisub {\isadigit{1}}\ L\isactrlisub {\isadigit{2}}{\isacharparenright}{\isacharparenright}\ {\isacharparenleft}UNIV\ {\isacharslash}{\isacharslash}\ {\isasymapprox}L\isactrlisub {\isadigit{1}}\ {\isacharsemicolon}{\isacharsemicolon}\ L\isactrlisub {\isadigit{2}}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3285


\ \ \ \ \isacommand{apply}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3286


\ {\isacharparenleft}rule\ tag{\isacharunderscore}image{\isacharunderscore}injI{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3287


\ \ \ \ \isacommand{apply}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3288


\ {\isacharparenleft}rule\ tag{\isacharunderscore}str{\isacharunderscore}SEQ{\isacharunderscore}injI{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3289


\ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3290


\ {\isacharparenleft}auto\ intro{\isacharcolon}tag{\isacharunderscore}image{\isacharunderscore}injI\ tag{\isacharunderscore}str{\isacharunderscore}SEQ{\isacharunderscore}injI\ simp{\isacharcolon}{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3291


\isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3292


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3293


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3294


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3295


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3296


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3297


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3298


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3299


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3300


\isamarkupsubsection{The case for \isa{ALT}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3301


}













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3302


\isamarkuptrue%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3303


\isacommand{definition}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3304


\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3305


\ \ {\isachardoublequoteopen}tag{\isacharunderscore}str{\isacharunderscore}ALT\ L\isactrlisub {\isadigit{1}}\ L\isactrlisub {\isadigit{2}}\ {\isacharparenleft}x{\isacharcolon}{\isacharcolon}string{\isacharparenright}\ {\isasymequiv}\ {\isacharparenleft}{\isacharparenleft}{\isasymapprox}L\isactrlisub {\isadigit{1}}{\isacharparenright}\ {\isacharbackquote}{\isacharbackquote}\ {\isacharbraceleft}x{\isacharbraceright}{\isacharcomma}\ {\isacharparenleft}{\isasymapprox}L\isactrlisub {\isadigit{2}}{\isacharparenright}\ {\isacharbackquote}{\isacharbackquote}\ {\isacharbraceleft}x{\isacharbraceright}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3306


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3307


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3308


\ tag{\isacharunderscore}str{\isacharunderscore}alt{\isacharunderscore}range{\isacharunderscore}finite{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3309


\ \ {\isachardoublequoteopen}{\isasymlbrakk}finite\ {\isacharparenleft}UNIV\ {\isacharslash}{\isacharslash}\ {\isasymapprox}L\isactrlisub {\isadigit{1}}{\isacharparenright}{\isacharsemicolon}\ finite\ {\isacharparenleft}UNIV\ {\isacharslash}{\isacharslash}\ {\isasymapprox}L\isactrlisub {\isadigit{2}}{\isacharparenright}{\isasymrbrakk}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3310


\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {\isasymLongrightarrow}\ finite\ {\isacharparenleft}range\ {\isacharparenleft}tag{\isacharunderscore}str{\isacharunderscore}ALT\ L\isactrlisub {\isadigit{1}}\ L\isactrlisub {\isadigit{2}}{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3311


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3312


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3313


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3314


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3315


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3316


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3317


\isacommand{apply}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3318


\ {\isacharparenleft}rule{\isacharunderscore}tac\ B\ {\isacharequal}\ {\isachardoublequoteopen}{\isacharparenleft}UNIV\ {\isacharslash}{\isacharslash}\ {\isasymapprox}L\isactrlisub {\isadigit{1}}{\isacharparenright}\ {\isasymtimes}\ {\isacharparenleft}UNIV\ {\isacharslash}{\isacharslash}\ {\isasymapprox}L\isactrlisub {\isadigit{2}}{\isacharparenright}{\isachardoublequoteclose}\ \isakeyword{in}\ finite{\isacharunderscore}subset{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3319


\isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3320


\ {\isacharparenleft}auto\ simp{\isacharcolon}tag{\isacharunderscore}str{\isacharunderscore}ALT{\isacharunderscore}def\ Image{\isacharunderscore}def\ quotient{\isacharunderscore}def{\isacharparenright}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3321


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3322


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3323


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3324


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3325


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3326


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3327


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3328


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3329


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3330


\ quot{\isacharunderscore}union{\isacharunderscore}finiteI{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3331


\ \ \isakeyword{assumes}\ finite{\isadigit{1}}{\isacharcolon}\ {\isachardoublequoteopen}finite\ {\isacharparenleft}UNIV\ {\isacharslash}{\isacharslash}\ {\isasymapprox}{\isacharparenleft}L\isactrlisub {\isadigit{1}}{\isacharcolon}{\isacharcolon}string\ set{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3332


\ \ \isakeyword{and}\ finite{\isadigit{2}}{\isacharcolon}\ {\isachardoublequoteopen}finite\ {\isacharparenleft}UNIV\ {\isacharslash}{\isacharslash}\ {\isasymapprox}L\isactrlisub {\isadigit{2}}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3333


\ \ \isakeyword{shows}\ {\isachardoublequoteopen}finite\ {\isacharparenleft}UNIV\ {\isacharslash}{\isacharslash}\ {\isasymapprox}{\isacharparenleft}L\isactrlisub {\isadigit{1}}\ {\isasymunion}\ L\isactrlisub {\isadigit{2}}{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3334


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3335


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3336


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3337


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3338


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3339


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3340


\isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3341


{\isacharparenleft}rule{\isacharunderscore}tac\ f\ {\isacharequal}\ {\isachardoublequoteopen}{\isacharparenleft}op\ {\isacharbackquote}{\isacharparenright}\ {\isacharparenleft}tag{\isacharunderscore}str{\isacharunderscore}ALT\ L\isactrlisub {\isadigit{1}}\ L\isactrlisub {\isadigit{2}}{\isacharparenright}{\isachardoublequoteclose}\ \isakeyword{in}\ finite{\isacharunderscore}imageD{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3342


\ \ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3343


\ {\isachardoublequoteopen}finite\ {\isacharparenleft}op\ {\isacharbackquote}\ {\isacharparenleft}tag{\isacharunderscore}str{\isacharunderscore}ALT\ L\isactrlisub {\isadigit{1}}\ L\isactrlisub {\isadigit{2}}{\isacharparenright}\ {\isacharbackquote}\ UNIV\ {\isacharslash}{\isacharslash}\ {\isasymapprox}L\isactrlisub {\isadigit{1}}\ {\isasymunion}\ L\isactrlisub {\isadigit{2}}{\isacharparenright}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3344


\ \ \ \ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3345


\ finite{\isadigit{1}}\ finite{\isadigit{2}}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3346


\ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3347


\ {\isacharparenleft}auto\ intro{\isacharcolon}finite{\isacharunderscore}tag{\isacharunderscore}imageI\ tag{\isacharunderscore}str{\isacharunderscore}alt{\isacharunderscore}range{\isacharunderscore}finite{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3348


\isacommand{next}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3349


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3350


\ \ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3351


\ {\isachardoublequoteopen}inj{\isacharunderscore}on\ {\isacharparenleft}op\ {\isacharbackquote}\ {\isacharparenleft}tag{\isacharunderscore}str{\isacharunderscore}ALT\ L\isactrlisub {\isadigit{1}}\ L\isactrlisub {\isadigit{2}}{\isacharparenright}{\isacharparenright}\ {\isacharparenleft}UNIV\ {\isacharslash}{\isacharslash}\ {\isasymapprox}L\isactrlisub {\isadigit{1}}\ {\isasymunion}\ L\isactrlisub {\isadigit{2}}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3352


\ \ \isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3353


{\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3354


\ \ \ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3355


\ {\isachardoublequoteopen}{\isasymAnd}m\ n{\isachardot}\ tag{\isacharunderscore}str{\isacharunderscore}ALT\ L\isactrlisub {\isadigit{1}}\ L\isactrlisub {\isadigit{2}}\ m\ {\isacharequal}\ tag{\isacharunderscore}str{\isacharunderscore}ALT\ L\isactrlisub {\isadigit{1}}\ L\isactrlisub {\isadigit{2}}\ n\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3356


\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {\isasymLongrightarrow}\ m\ {\isasymapprox}{\isacharparenleft}L\isactrlisub {\isadigit{1}}\ {\isasymunion}\ L\isactrlisub {\isadigit{2}}{\isacharparenright}\ n{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3357


\ \ \ \ \ \ \isacommand{unfolding}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3358


\ tag{\isacharunderscore}str{\isacharunderscore}ALT{\isacharunderscore}def\ str{\isacharunderscore}eq{\isacharunderscore}def\ Image{\isacharunderscore}def\ str{\isacharunderscore}eq{\isacharunderscore}rel{\isacharunderscore}def\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3359


\ auto\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3360


\ \ \ \ \isacommand{thus}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3361


\ {\isacharquery}thesis\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3362


\ {\isacharparenleft}auto\ intro{\isacharcolon}tag{\isacharunderscore}image{\isacharunderscore}injI{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3363


\ \ \isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3364


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3365


\isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3366


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3367


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3368


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3369


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3370


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3371


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3372


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3373


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3374


\isamarkupsubsection{The case for \isa{STAR}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3375


}













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3376


\isamarkuptrue%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3377


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3378


\begin{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3379


This turned out to be the most tricky case.%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3380


\end{isamarkuptext}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3381


\isamarkuptrue%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3382


\isacommand{definition}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3383


\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3384


\ \ {\isachardoublequoteopen}tag{\isacharunderscore}str{\isacharunderscore}STAR\ L\isactrlisub {\isadigit{1}}\ x\ {\isasymequiv}\ {\isacharbraceleft}{\isacharparenleft}{\isasymapprox}L\isactrlisub {\isadigit{1}}{\isacharparenright}\ {\isacharbackquote}{\isacharbackquote}\ {\isacharbraceleft}x\ {\isacharminus}\ xa{\isacharbraceright}\ {\isacharbar}\ xa{\isachardot}\ xa\ {\isacharless}\ x\ {\isasymand}\ xa\ {\isasymin}\ L\isactrlisub {\isadigit{1}}{\isasymstar}{\isacharbraceright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3385


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3386


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3387


\ finite{\isacharunderscore}set{\isacharunderscore}has{\isacharunderscore}max{\isacharcolon}\ {\isachardoublequoteopen}{\isasymlbrakk}finite\ A{\isacharsemicolon}\ A\ {\isasymnoteq}\ {\isacharbraceleft}{\isacharbraceright}{\isasymrbrakk}\ {\isasymLongrightarrow}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3388


\ \ \ \ \ \ \ \ \ \ \ {\isacharparenleft}{\isasymexists}\ max\ {\isasymin}\ A{\isachardot}\ {\isasymforall}\ a\ {\isasymin}\ A{\isachardot}\ f\ a\ {\isacharless}{\isacharequal}\ {\isacharparenleft}f\ max\ {\isacharcolon}{\isacharcolon}\ nat{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3389


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3390


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3391


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3392


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3393


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3394


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3395


\isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3396


\ {\isacharparenleft}induct\ rule{\isacharcolon}finite{\isachardot}induct{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3397


\ \ \isacommand{case}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3398


\ emptyI\ \isacommand{thus}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3399


\ {\isacharquery}case\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3400


\ simp\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3401


\isacommand{next}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3402


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3403


\ \ \isacommand{case}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3404


\ {\isacharparenleft}insertI\ A\ a{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3405


\ \ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3406


\ {\isacharquery}case\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3407


\ \ \isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3408


\ {\isacharparenleft}cases\ {\isachardoublequoteopen}A\ {\isacharequal}\ {\isacharbraceleft}{\isacharbraceright}{\isachardoublequoteclose}{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3409


\ \ \ \ \isacommand{case}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3410


\ True\ \isacommand{thus}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3411


\ {\isacharquery}thesis\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3412


\ {\isacharparenleft}rule{\isacharunderscore}tac\ x\ {\isacharequal}\ a\ \isakeyword{in}\ bexI{\isacharcomma}\ auto{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3413


\ \ \isacommand{next}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3414


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3415


\ \ \ \ \isacommand{case}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3416


\ False\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3417


\ \ \ \ \isacommand{with}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3418


\ prems\ \isacommand{obtain}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3419


\ max\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3420


\ \ \ \ \ \ \isakeyword{where}\ h{\isadigit{1}}{\isacharcolon}\ {\isachardoublequoteopen}max\ {\isasymin}\ A{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3421


\ \ \ \ \ \ \isakeyword{and}\ h{\isadigit{2}}{\isacharcolon}\ {\isachardoublequoteopen}{\isasymforall}a{\isasymin}A{\isachardot}\ f\ a\ {\isasymle}\ f\ max{\isachardoublequoteclose}\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3422


\ blast\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3423


\ \ \ \ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3424


\ {\isacharquery}thesis\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3425


\ \ \ \ \isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3426


\ {\isacharparenleft}cases\ {\isachardoublequoteopen}f\ a\ {\isasymle}\ f\ max{\isachardoublequoteclose}{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3427


\ \ \ \ \ \ \isacommand{assume}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3428


\ {\isachardoublequoteopen}f\ a\ {\isasymle}\ f\ max{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3429


\ \ \ \ \ \ \isacommand{with}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3430


\ h{\isadigit{1}}\ h{\isadigit{2}}\ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3431


\ {\isacharquery}thesis\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3432


\ {\isacharparenleft}rule{\isacharunderscore}tac\ x\ {\isacharequal}\ max\ \isakeyword{in}\ bexI{\isacharcomma}\ auto{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3433


\ \ \ \ \isacommand{next}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3434


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3435


\ \ \ \ \ \ \isacommand{assume}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3436


\ {\isachardoublequoteopen}{\isasymnot}\ {\isacharparenleft}f\ a\ {\isasymle}\ f\ max{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3437


\ \ \ \ \ \ \isacommand{thus}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3438


\ {\isacharquery}thesis\ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3439


\ h{\isadigit{2}}\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3440


\ {\isacharparenleft}rule{\isacharunderscore}tac\ x\ {\isacharequal}\ a\ \isakeyword{in}\ bexI{\isacharcomma}\ auto{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3441


\ \ \ \ \isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3442


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3443


\ \ \isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3444


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3445


\isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3446


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3447


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3448


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3449


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3450


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3451


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3452


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3453


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3454


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3455


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3456


\ finite{\isacharunderscore}strict{\isacharunderscore}prefix{\isacharunderscore}set{\isacharcolon}\ {\isachardoublequoteopen}finite\ {\isacharbraceleft}xa{\isachardot}\ xa\ {\isacharless}\ {\isacharparenleft}x{\isacharcolon}{\isacharcolon}string{\isacharparenright}{\isacharbraceright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3457


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3458


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3459


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3460


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3461


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3462


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3463


\isacommand{apply}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3464


\ {\isacharparenleft}induct\ x\ rule{\isacharcolon}rev{\isacharunderscore}induct{\isacharcomma}\ simp{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3465


\isacommand{apply}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3466


\ {\isacharparenleft}subgoal{\isacharunderscore}tac\ {\isachardoublequoteopen}{\isacharbraceleft}xa{\isachardot}\ xa\ {\isacharless}\ xs\ {\isacharat}\ {\isacharbrackleft}x{\isacharbrackright}{\isacharbraceright}\ {\isacharequal}\ {\isacharbraceleft}xa{\isachardot}\ xa\ {\isacharless}\ xs{\isacharbraceright}\ {\isasymunion}\ {\isacharbraceleft}xs{\isacharbraceright}{\isachardoublequoteclose}{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3467


\isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3468


\ {\isacharparenleft}auto\ simp{\isacharcolon}strict{\isacharunderscore}prefix{\isacharunderscore}def{\isacharparenright}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3469


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3470


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3471


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3472


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3473


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3474


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3475


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3476


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3477


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3478


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3479


\ tag{\isacharunderscore}str{\isacharunderscore}star{\isacharunderscore}range{\isacharunderscore}finite{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3480


\ \ {\isachardoublequoteopen}finite\ {\isacharparenleft}UNIV\ {\isacharslash}{\isacharslash}\ {\isasymapprox}L\isactrlisub {\isadigit{1}}{\isacharparenright}\ {\isasymLongrightarrow}\ finite\ {\isacharparenleft}range\ {\isacharparenleft}tag{\isacharunderscore}str{\isacharunderscore}STAR\ L\isactrlisub {\isadigit{1}}{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3481


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3482


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3483


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3484


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3485


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3486


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3487


\isacommand{apply}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3488


\ {\isacharparenleft}rule{\isacharunderscore}tac\ B\ {\isacharequal}\ {\isachardoublequoteopen}Pow\ {\isacharparenleft}UNIV\ {\isacharslash}{\isacharslash}\ {\isasymapprox}L\isactrlisub {\isadigit{1}}{\isacharparenright}{\isachardoublequoteclose}\ \isakeyword{in}\ finite{\isacharunderscore}subset{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3489


\isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3490


\ {\isacharparenleft}auto\ simp{\isacharcolon}tag{\isacharunderscore}str{\isacharunderscore}STAR{\isacharunderscore}def\ Image{\isacharunderscore}def\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3491


\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ quotient{\isacharunderscore}def\ split{\isacharcolon}if{\isacharunderscore}splits{\isacharparenright}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3492


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3493


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3494


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3495


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3496


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3497


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3498


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3499


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3500


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3501


\ tag{\isacharunderscore}str{\isacharunderscore}STAR{\isacharunderscore}injI{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3502


\ \ {\isachardoublequoteopen}tag{\isacharunderscore}str{\isacharunderscore}STAR\ L\isactrlisub {\isadigit{1}}\ m\ {\isacharequal}\ tag{\isacharunderscore}str{\isacharunderscore}STAR\ L\isactrlisub {\isadigit{1}}\ n\ {\isasymLongrightarrow}\ m\ {\isasymapprox}{\isacharparenleft}L\isactrlisub {\isadigit{1}}{\isasymstar}{\isacharparenright}\ n{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3503


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3504


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3505


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3506


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3507


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3508


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3509


\isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3510


{\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3511


\ \ \isacommand{{\isacharbraceleft}}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3512


\ \isacommand{fix}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3513


\ x\ y\ z\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3514


\ \ \ \ \isacommand{assume}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3515


\ xz{\isacharunderscore}in{\isacharunderscore}star{\isacharcolon}\ {\isachardoublequoteopen}x\ {\isacharat}\ z\ {\isasymin}\ L\isactrlisub {\isadigit{1}}{\isasymstar}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3516


\ \ \ \ \isakeyword{and}\ tag{\isacharunderscore}xy{\isacharcolon}\ {\isachardoublequoteopen}tag{\isacharunderscore}str{\isacharunderscore}STAR\ L\isactrlisub {\isadigit{1}}\ x\ {\isacharequal}\ tag{\isacharunderscore}str{\isacharunderscore}STAR\ L\isactrlisub {\isadigit{1}}\ y{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3517


\ \ \ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3518


\ {\isachardoublequoteopen}y\ {\isacharat}\ z\ {\isasymin}\ L\isactrlisub {\isadigit{1}}{\isasymstar}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3519


\ \ \ \ \isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3520


{\isacharparenleft}cases\ {\isachardoublequoteopen}x\ {\isacharequal}\ {\isacharbrackleft}{\isacharbrackright}{\isachardoublequoteclose}{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3521


\ \ \ \ \ \ \isacommand{case}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3522


\ True\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3523


\ \ \ \ \ \ \isacommand{with}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3524


\ tag{\isacharunderscore}xy\ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3525


\ {\isachardoublequoteopen}y\ {\isacharequal}\ {\isacharbrackleft}{\isacharbrackright}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3526


\ \ \ \ \ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3527


\ {\isacharparenleft}auto\ simp{\isacharcolon}tag{\isacharunderscore}str{\isacharunderscore}STAR{\isacharunderscore}def\ strict{\isacharunderscore}prefix{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3528


\ \ \ \ \ \ \isacommand{thus}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3529


\ {\isacharquery}thesis\ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3530


\ xz{\isacharunderscore}in{\isacharunderscore}star\ True\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3531


\ simp\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3532


\ \ \ \ \isacommand{next}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3533


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3534


\ \ \ \ \ \ \isacommand{case}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3535


\ False\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3536


\ \ \ \ \ \ \isacommand{obtain}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3537


\ x{\isacharunderscore}max\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3538


\ \ \ \ \ \ \ \ \isakeyword{where}\ h{\isadigit{1}}{\isacharcolon}\ {\isachardoublequoteopen}x{\isacharunderscore}max\ {\isacharless}\ x{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3539


\ \ \ \ \ \ \ \ \isakeyword{and}\ h{\isadigit{2}}{\isacharcolon}\ {\isachardoublequoteopen}x{\isacharunderscore}max\ {\isasymin}\ L\isactrlisub {\isadigit{1}}{\isasymstar}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3540


\ \ \ \ \ \ \ \ \isakeyword{and}\ h{\isadigit{3}}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}x\ {\isacharminus}\ x{\isacharunderscore}max{\isacharparenright}\ {\isacharat}\ z\ {\isasymin}\ L\isactrlisub {\isadigit{1}}{\isasymstar}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3541


\ \ \ \ \ \ \ \ \isakeyword{and}\ h{\isadigit{4}}{\isacharcolon}{\isachardoublequoteopen}{\isasymforall}\ xa\ {\isacharless}\ x{\isachardot}\ xa\ {\isasymin}\ L\isactrlisub {\isadigit{1}}{\isasymstar}\ {\isasymand}\ {\isacharparenleft}x\ {\isacharminus}\ xa{\isacharparenright}\ {\isacharat}\ z\ {\isasymin}\ L\isactrlisub {\isadigit{1}}{\isasymstar}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3542


\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {\isasymlongrightarrow}\ length\ xa\ {\isasymle}\ length\ x{\isacharunderscore}max{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3543


\ \ \ \ \ \ \isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3544


{\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3545


\ \ \ \ \ \ \ \ \isacommand{let}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3546


\ {\isacharquery}S\ {\isacharequal}\ {\isachardoublequoteopen}{\isacharbraceleft}xa{\isachardot}\ xa\ {\isacharless}\ x\ {\isasymand}\ xa\ {\isasymin}\ L\isactrlisub {\isadigit{1}}{\isasymstar}\ {\isasymand}\ {\isacharparenleft}x\ {\isacharminus}\ xa{\isacharparenright}\ {\isacharat}\ z\ {\isasymin}\ L\isactrlisub {\isadigit{1}}{\isasymstar}{\isacharbraceright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3547


\ \ \ \ \ \ \ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3548


\ {\isachardoublequoteopen}finite\ {\isacharquery}S{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3549


\ \ \ \ \ \ \ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3550


\ {\isacharparenleft}rule{\isacharunderscore}tac\ B\ {\isacharequal}\ {\isachardoublequoteopen}{\isacharbraceleft}xa{\isachardot}\ xa\ {\isacharless}\ x{\isacharbraceright}{\isachardoublequoteclose}\ \isakeyword{in}\ finite{\isacharunderscore}subset{\isacharcomma}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3551


\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ auto\ simp{\isacharcolon}finite{\isacharunderscore}strict{\isacharunderscore}prefix{\isacharunderscore}set{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3552


\ \ \ \ \ \ \ \ \isacommand{moreover}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3553


\ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3554


\ {\isachardoublequoteopen}{\isacharquery}S\ {\isasymnoteq}\ {\isacharbraceleft}{\isacharbraceright}{\isachardoublequoteclose}\ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3555


\ False\ xz{\isacharunderscore}in{\isacharunderscore}star\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3556


\ \ \ \ \ \ \ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3557


\ {\isacharparenleft}simp{\isacharcomma}\ rule{\isacharunderscore}tac\ x\ {\isacharequal}\ {\isachardoublequoteopen}{\isacharbrackleft}{\isacharbrackright}{\isachardoublequoteclose}\ \isakeyword{in}\ exI{\isacharcomma}\ auto\ simp{\isacharcolon}strict{\isacharunderscore}prefix{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3558


\ \ \ \ \ \ \ \ \isacommand{ultimately}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3559


\ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3560


\ {\isachardoublequoteopen}{\isasymexists}\ max\ {\isasymin}\ {\isacharquery}S{\isachardot}\ {\isasymforall}\ a\ {\isasymin}\ {\isacharquery}S{\isachardot}\ length\ a\ {\isasymle}\ length\ max{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3561


\ \ \ \ \ \ \ \ \ \ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3562


\ finite{\isacharunderscore}set{\isacharunderscore}has{\isacharunderscore}max\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3563


\ blast\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3564


\ \ \ \ \ \ \ \ \isacommand{with}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3565


\ prems\ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3566


\ {\isacharquery}thesis\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3567


\ blast\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3568


\ \ \ \ \ \ \isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3569


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3570


\ \ \ \ \ \ \isacommand{obtain}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3571


\ ya\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3572


\ \ \ \ \ \ \ \ \isakeyword{where}\ h{\isadigit{5}}{\isacharcolon}\ {\isachardoublequoteopen}ya\ {\isacharless}\ y{\isachardoublequoteclose}\ \isakeyword{and}\ h{\isadigit{6}}{\isacharcolon}\ {\isachardoublequoteopen}ya\ {\isasymin}\ L\isactrlisub {\isadigit{1}}{\isasymstar}{\isachardoublequoteclose}\ \isakeyword{and}\ h{\isadigit{7}}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}x\ {\isacharminus}\ x{\isacharunderscore}max{\isacharparenright}\ {\isasymapprox}L\isactrlisub {\isadigit{1}}\ {\isacharparenleft}y\ {\isacharminus}\ ya{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3573


\ \ \ \ \ \ \isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3574


{\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3575


\ \ \ \ \ \ \ \ \isacommand{from}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3576


\ tag{\isacharunderscore}xy\ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3577


\ {\isachardoublequoteopen}{\isacharbraceleft}{\isasymapprox}L\isactrlisub {\isadigit{1}}\ {\isacharbackquote}{\isacharbackquote}\ {\isacharbraceleft}x\ {\isacharminus}\ xa{\isacharbraceright}\ {\isacharbar}xa{\isachardot}\ xa\ {\isacharless}\ x\ {\isasymand}\ xa\ {\isasymin}\ L\isactrlisub {\isadigit{1}}{\isasymstar}{\isacharbraceright}\ {\isacharequal}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3578


\ \ \ \ \ \ \ \ \ \ {\isacharbraceleft}{\isasymapprox}L\isactrlisub {\isadigit{1}}\ {\isacharbackquote}{\isacharbackquote}\ {\isacharbraceleft}y\ {\isacharminus}\ xa{\isacharbraceright}\ {\isacharbar}xa{\isachardot}\ xa\ {\isacharless}\ y\ {\isasymand}\ xa\ {\isasymin}\ L\isactrlisub {\isadigit{1}}{\isasymstar}{\isacharbraceright}{\isachardoublequoteclose}\ {\isacharparenleft}\isakeyword{is}\ {\isachardoublequoteopen}{\isacharquery}left\ {\isacharequal}\ {\isacharquery}right{\isachardoublequoteclose}{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3579


\ \ \ \ \ \ \ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3580


\ {\isacharparenleft}auto\ simp{\isacharcolon}tag{\isacharunderscore}str{\isacharunderscore}STAR{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3581


\ \ \ \ \ \ \ \ \isacommand{moreover}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3582


\ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3583


\ {\isachardoublequoteopen}{\isasymapprox}L\isactrlisub {\isadigit{1}}\ {\isacharbackquote}{\isacharbackquote}\ {\isacharbraceleft}x\ {\isacharminus}\ x{\isacharunderscore}max{\isacharbraceright}\ {\isasymin}\ {\isacharquery}left{\isachardoublequoteclose}\ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3584


\ h{\isadigit{1}}\ h{\isadigit{2}}\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3585


\ auto\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3586


\ \ \ \ \ \ \ \ \isacommand{ultimately}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3587


\ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3588


\ {\isachardoublequoteopen}{\isasymapprox}L\isactrlisub {\isadigit{1}}\ {\isacharbackquote}{\isacharbackquote}\ {\isacharbraceleft}x\ {\isacharminus}\ x{\isacharunderscore}max{\isacharbraceright}\ {\isasymin}\ {\isacharquery}right{\isachardoublequoteclose}\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3589


\ simp\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3590


\ \ \ \ \ \ \ \ \isacommand{with}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3591


\ prems\ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3592


\ {\isacharquery}thesis\ \isacommand{apply}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3593


\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3594


\ \ \ \ \ \ \ \ \ \ {\isacharparenleft}simp\ add{\isacharcolon}Image{\isacharunderscore}def\ str{\isacharunderscore}eq{\isacharunderscore}rel{\isacharunderscore}def\ str{\isacharunderscore}eq{\isacharunderscore}def{\isacharparenright}\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3595


\ blast\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3596


\ \ \ \ \ \ \isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3597


\ \ \ \ \ \ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3598


\ \ \ \ \ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3599


\ {\isachardoublequoteopen}{\isacharparenleft}y\ {\isacharminus}\ ya{\isacharparenright}\ {\isacharat}\ z\ {\isasymin}\ L\isactrlisub {\isadigit{1}}{\isasymstar}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3600


\ \ \ \ \ \ \isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3601


{\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3602


\ \ \ \ \ \ \ \ \isacommand{from}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3603


\ h{\isadigit{3}}\ h{\isadigit{1}}\ \isacommand{obtain}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3604


\ a\ b\ \isakeyword{where}\ a{\isacharunderscore}in{\isacharcolon}\ {\isachardoublequoteopen}a\ {\isasymin}\ L\isactrlisub {\isadigit{1}}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3605


\ \ \ \ \ \ \ \ \ \ \isakeyword{and}\ a{\isacharunderscore}neq{\isacharcolon}\ {\isachardoublequoteopen}a\ {\isasymnoteq}\ {\isacharbrackleft}{\isacharbrackright}{\isachardoublequoteclose}\ \isakeyword{and}\ b{\isacharunderscore}in{\isacharcolon}\ {\isachardoublequoteopen}b\ {\isasymin}\ L\isactrlisub {\isadigit{1}}{\isasymstar}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3606


\ \ \ \ \ \ \ \ \ \ \isakeyword{and}\ ab{\isacharunderscore}max{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}x\ {\isacharminus}\ x{\isacharunderscore}max{\isacharparenright}\ {\isacharat}\ z\ {\isacharequal}\ a\ {\isacharat}\ b{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3607


\ \ \ \ \ \ \ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3608


\ {\isacharparenleft}drule{\isacharunderscore}tac\ star{\isacharunderscore}decom{\isacharcomma}\ auto\ simp{\isacharcolon}strict{\isacharunderscore}prefix{\isacharunderscore}def\ elim{\isacharcolon}prefixE{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3609


\ \ \ \ \ \ \ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3610


\ {\isachardoublequoteopen}{\isacharparenleft}x\ {\isacharminus}\ x{\isacharunderscore}max{\isacharparenright}\ {\isasymle}\ a\ {\isasymand}\ {\isacharparenleft}a\ {\isacharminus}\ {\isacharparenleft}x\ {\isacharminus}\ x{\isacharunderscore}max{\isacharparenright}{\isacharparenright}\ {\isacharat}\ b\ {\isacharequal}\ z{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3611


\ \ \ \ \ \ \ \ \isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3612


\ {\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3613


\ \ \ \ \ \ \ \ \ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3614


\ {\isachardoublequoteopen}{\isacharparenleft}{\isacharparenleft}x\ {\isacharminus}\ x{\isacharunderscore}max{\isacharparenright}\ {\isasymle}\ a\ {\isasymand}\ {\isacharparenleft}a\ {\isacharminus}\ {\isacharparenleft}x\ {\isacharminus}\ x{\isacharunderscore}max{\isacharparenright}{\isacharparenright}\ {\isacharat}\ b\ {\isacharequal}\ z{\isacharparenright}\ {\isasymor}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3615


\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {\isacharparenleft}a\ {\isacharless}\ {\isacharparenleft}x\ {\isacharminus}\ x{\isacharunderscore}max{\isacharparenright}\ {\isasymand}\ {\isacharparenleft}{\isacharparenleft}x\ {\isacharminus}\ x{\isacharunderscore}max{\isacharparenright}\ {\isacharminus}\ a{\isacharparenright}\ {\isacharat}\ z\ {\isacharequal}\ b{\isacharparenright}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3616


\ \ \ \ \ \ \ \ \ \ \ \ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3617


\ app{\isacharunderscore}eq{\isacharunderscore}dest{\isacharbrackleft}OF\ ab{\isacharunderscore}max{\isacharbrackright}\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3618


\ {\isacharparenleft}auto\ simp{\isacharcolon}strict{\isacharunderscore}prefix{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3619


\ \ \ \ \ \ \ \ \ \ \isacommand{moreover}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3620


\ \isacommand{{\isacharbraceleft}}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3621


\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3622


\ \ \ \ \ \ \ \ \ \ \ \ \isacommand{assume}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3623


\ np{\isacharcolon}\ {\isachardoublequoteopen}a\ {\isacharless}\ {\isacharparenleft}x\ {\isacharminus}\ x{\isacharunderscore}max{\isacharparenright}{\isachardoublequoteclose}\ \isakeyword{and}\ b{\isacharunderscore}eqs{\isacharcolon}\ {\isachardoublequoteopen}\ {\isacharparenleft}{\isacharparenleft}x\ {\isacharminus}\ x{\isacharunderscore}max{\isacharparenright}\ {\isacharminus}\ a{\isacharparenright}\ {\isacharat}\ z\ {\isacharequal}\ b{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3624


\ \ \ \ \ \ \ \ \ \ \ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3625


\ {\isachardoublequoteopen}False{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3626


\ \ \ \ \ \ \ \ \ \ \ \ \isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3627


\ {\isacharminus}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3628


\ \ \ \ \ \ \ \ \ \ \ \ \ \ \isacommand{let}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3629


\ {\isacharquery}x{\isacharunderscore}max{\isacharprime}\ {\isacharequal}\ {\isachardoublequoteopen}x{\isacharunderscore}max\ {\isacharat}\ a{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3630


\ \ \ \ \ \ \ \ \ \ \ \ \ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3631


\ {\isachardoublequoteopen}{\isacharquery}x{\isacharunderscore}max{\isacharprime}\ {\isacharless}\ x{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3632


\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3633


\ np\ h{\isadigit{1}}\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3634


\ {\isacharparenleft}clarsimp\ simp{\isacharcolon}strict{\isacharunderscore}prefix{\isacharunderscore}def\ diff{\isacharunderscore}prefix{\isacharparenright}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3635


\ \ \ \ \ \ \ \ \ \ \ \ \ \ \isacommand{moreover}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3636


\ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3637


\ {\isachardoublequoteopen}{\isacharquery}x{\isacharunderscore}max{\isacharprime}\ {\isasymin}\ L\isactrlisub {\isadigit{1}}{\isasymstar}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3638


\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3639


\ a{\isacharunderscore}in\ h{\isadigit{2}}\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3640


\ {\isacharparenleft}simp\ add{\isacharcolon}star{\isacharunderscore}intro{\isadigit{3}}{\isacharparenright}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3641


\ \ \ \ \ \ \ \ \ \ \ \ \ \ \isacommand{moreover}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3642


\ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3643


\ {\isachardoublequoteopen}{\isacharparenleft}x\ {\isacharminus}\ {\isacharquery}x{\isacharunderscore}max{\isacharprime}{\isacharparenright}\ {\isacharat}\ z\ {\isasymin}\ L\isactrlisub {\isadigit{1}}{\isasymstar}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3644


\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3645


\ b{\isacharunderscore}eqs\ b{\isacharunderscore}in\ np\ h{\isadigit{1}}\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3646


\ {\isacharparenleft}simp\ add{\isacharcolon}diff{\isacharunderscore}diff{\isacharunderscore}appd{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3647


\ \ \ \ \ \ \ \ \ \ \ \ \ \ \isacommand{moreover}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3648


\ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3649


\ {\isachardoublequoteopen}{\isasymnot}\ {\isacharparenleft}length\ {\isacharquery}x{\isacharunderscore}max{\isacharprime}\ {\isasymle}\ length\ x{\isacharunderscore}max{\isacharparenright}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3650


\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3651


\ a{\isacharunderscore}neq\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3652


\ simp\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3653


\ \ \ \ \ \ \ \ \ \ \ \ \ \ \isacommand{ultimately}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3654


\ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3655


\ {\isacharquery}thesis\ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3656


\ h{\isadigit{4}}\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3657


\ blast\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3658


\ \ \ \ \ \ \ \ \ \ \ \ \isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3659


\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3660


\ \ \ \ \ \ \ \ \ \ \isacommand{{\isacharbraceright}}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3661


\ \isacommand{ultimately}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3662


\ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3663


\ {\isacharquery}thesis\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3664


\ blast\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3665


\ \ \ \ \ \ \ \ \isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3666


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3667


\ \ \ \ \ \ \ \ \isacommand{then}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3668


\ \isacommand{obtain}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3669


\ za\ \isakeyword{where}\ z{\isacharunderscore}decom{\isacharcolon}\ {\isachardoublequoteopen}z\ {\isacharequal}\ za\ {\isacharat}\ b{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3670


\ \ \ \ \ \ \ \ \ \ \isakeyword{and}\ x{\isacharunderscore}za{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}x\ {\isacharminus}\ x{\isacharunderscore}max{\isacharparenright}\ {\isacharat}\ za\ {\isasymin}\ L\isactrlisub {\isadigit{1}}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3671


\ \ \ \ \ \ \ \ \ \ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3672


\ a{\isacharunderscore}in\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3673


\ {\isacharparenleft}auto\ elim{\isacharcolon}prefixE{\isacharparenright}\ \ \ \ \ \ \ \ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3674


\ \ \ \ \ \ \ \ \isacommand{from}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3675


\ x{\isacharunderscore}za\ h{\isadigit{7}}\ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3676


\ {\isachardoublequoteopen}{\isacharparenleft}y\ {\isacharminus}\ ya{\isacharparenright}\ {\isacharat}\ za\ {\isasymin}\ L\isactrlisub {\isadigit{1}}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3677


\ \ \ \ \ \ \ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3678


\ {\isacharparenleft}auto\ simp{\isacharcolon}str{\isacharunderscore}eq{\isacharunderscore}def\ str{\isacharunderscore}eq{\isacharunderscore}rel{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3679


\ \ \ \ \ \ \ \ \isacommand{with}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3680


\ z{\isacharunderscore}decom\ b{\isacharunderscore}in\ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3681


\ {\isacharquery}thesis\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3682


\ {\isacharparenleft}auto\ dest{\isacharbang}{\isacharcolon}step{\isacharbrackleft}of\ {\isachardoublequoteopen}{\isacharparenleft}y\ {\isacharminus}\ ya{\isacharparenright}\ {\isacharat}\ za{\isachardoublequoteclose}{\isacharbrackright}{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3683


\ \ \ \ \ \ \isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3684


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3685


\ \ \ \ \ \ \isacommand{with}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3686


\ h{\isadigit{5}}\ h{\isadigit{6}}\ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3687


\ {\isacharquery}thesis\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3688


\ \ \ \ \ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3689


\ {\isacharparenleft}drule{\isacharunderscore}tac\ star{\isacharunderscore}intro{\isadigit{1}}{\isacharcomma}\ auto\ simp{\isacharcolon}strict{\isacharunderscore}prefix{\isacharunderscore}def\ elim{\isacharcolon}prefixE{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3690


\ \ \ \ \isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3691


\ \ \ \ \ \ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3692


\ \ \isacommand{{\isacharbraceright}}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3693


\ \isacommand{thus}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3694


\ {\isachardoublequoteopen}tag{\isacharunderscore}str{\isacharunderscore}STAR\ L\isactrlisub {\isadigit{1}}\ m\ {\isacharequal}\ tag{\isacharunderscore}str{\isacharunderscore}STAR\ L\isactrlisub {\isadigit{1}}\ n\ {\isasymLongrightarrow}\ m\ {\isasymapprox}{\isacharparenleft}L\isactrlisub {\isadigit{1}}{\isasymstar}{\isacharparenright}\ n{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3695


\ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3696


\ {\isacharparenleft}auto\ simp\ add{\isacharcolon}str{\isacharunderscore}eq{\isacharunderscore}def\ str{\isacharunderscore}eq{\isacharunderscore}rel{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3697


\isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3698


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3699


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3700


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3701


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3702


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3703


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3704


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3705


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3706


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3707


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3708


\ quot{\isacharunderscore}star{\isacharunderscore}finiteI{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3709


\ \ \isakeyword{assumes}\ finite{\isacharcolon}\ {\isachardoublequoteopen}finite\ {\isacharparenleft}UNIV\ {\isacharslash}{\isacharslash}\ {\isasymapprox}{\isacharparenleft}L\isactrlisub {\isadigit{1}}{\isacharcolon}{\isacharcolon}string\ set{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3710


\ \ \isakeyword{shows}\ {\isachardoublequoteopen}finite\ {\isacharparenleft}UNIV\ {\isacharslash}{\isacharslash}\ {\isasymapprox}{\isacharparenleft}L\isactrlisub {\isadigit{1}}{\isasymstar}{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3711


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3712


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3713


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3714


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3715


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3716


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3717


\isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3718


{\isacharparenleft}rule{\isacharunderscore}tac\ f\ {\isacharequal}\ {\isachardoublequoteopen}{\isacharparenleft}op\ {\isacharbackquote}{\isacharparenright}\ {\isacharparenleft}tag{\isacharunderscore}str{\isacharunderscore}STAR\ L\isactrlisub {\isadigit{1}}{\isacharparenright}{\isachardoublequoteclose}\ \isakeyword{in}\ finite{\isacharunderscore}imageD{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3719


\ \ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3720


\ {\isachardoublequoteopen}finite\ {\isacharparenleft}op\ {\isacharbackquote}\ {\isacharparenleft}tag{\isacharunderscore}str{\isacharunderscore}STAR\ L\isactrlisub {\isadigit{1}}{\isacharparenright}\ {\isacharbackquote}\ UNIV\ {\isacharslash}{\isacharslash}\ {\isasymapprox}L\isactrlisub {\isadigit{1}}{\isasymstar}{\isacharparenright}{\isachardoublequoteclose}\ \isacommand{using}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3721


\ finite\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3722


\ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3723


\ {\isacharparenleft}auto\ intro{\isacharcolon}finite{\isacharunderscore}tag{\isacharunderscore}imageI\ tag{\isacharunderscore}str{\isacharunderscore}star{\isacharunderscore}range{\isacharunderscore}finite{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3724


\isacommand{next}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3725


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3726


\ \ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3727


\ {\isachardoublequoteopen}inj{\isacharunderscore}on\ {\isacharparenleft}op\ {\isacharbackquote}\ {\isacharparenleft}tag{\isacharunderscore}str{\isacharunderscore}STAR\ L\isactrlisub {\isadigit{1}}{\isacharparenright}{\isacharparenright}\ {\isacharparenleft}UNIV\ {\isacharslash}{\isacharslash}\ {\isasymapprox}L\isactrlisub {\isadigit{1}}{\isasymstar}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3728


\ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3729


\ {\isacharparenleft}auto\ intro{\isacharcolon}tag{\isacharunderscore}image{\isacharunderscore}injI\ tag{\isacharunderscore}str{\isacharunderscore}STAR{\isacharunderscore}injI{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3730


\isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3731


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3732


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3733


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3734


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3735


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3736


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3737


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3738


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3739


\isamarkupsubsection{The main lemma%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3740


}













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3741


\isamarkuptrue%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3742


\isacommand{lemma}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3743


\ easier{\isacharunderscore}directio{\isasymnu}{\isacharcolon}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3744


\ \ {\isachardoublequoteopen}Lang\ {\isacharequal}\ L\ {\isacharparenleft}r{\isacharcolon}{\isacharcolon}rexp{\isacharparenright}\ {\isasymLongrightarrow}\ finite\ {\isacharparenleft}UNIV\ {\isacharslash}{\isacharslash}\ {\isacharparenleft}{\isasymapprox}Lang{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3745


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3746


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3747


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3748


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3749


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3750


\isatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3751


\isacommand{proof}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3752


\ {\isacharparenleft}induct\ arbitrary{\isacharcolon}Lang\ rule{\isacharcolon}rexp{\isachardot}induct{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3753


\ \ \isacommand{case}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3754


\ NULL\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3755


\ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3756


\ {\isachardoublequoteopen}UNIV\ {\isacharslash}{\isacharslash}\ {\isacharparenleft}{\isasymapprox}{\isacharbraceleft}{\isacharbraceright}{\isacharparenright}\ {\isasymsubseteq}\ {\isacharbraceleft}UNIV{\isacharbraceright}\ {\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3757


\ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3758


\ {\isacharparenleft}auto\ simp{\isacharcolon}quotient{\isacharunderscore}def\ str{\isacharunderscore}eq{\isacharunderscore}rel{\isacharunderscore}def\ str{\isacharunderscore}eq{\isacharunderscore}def{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3759


\ \ \isacommand{with}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3760


\ prems\ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3761


\ {\isachardoublequoteopen}{\isacharquery}case{\isachardoublequoteclose}\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3762


\ {\isacharparenleft}auto\ intro{\isacharcolon}finite{\isacharunderscore}subset{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3763


\isacommand{next}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3764


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3765


\ \ \isacommand{case}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3766


\ EMPTY\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3767


\ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3768


\ {\isachardoublequoteopen}UNIV\ {\isacharslash}{\isacharslash}\ {\isacharparenleft}{\isasymapprox}{\isacharbraceleft}{\isacharbrackleft}{\isacharbrackright}{\isacharbraceright}{\isacharparenright}\ {\isasymsubseteq}\ {\isacharbraceleft}{\isacharbraceleft}{\isacharbrackleft}{\isacharbrackright}{\isacharbraceright}{\isacharcomma}\ UNIV\ {\isacharminus}\ {\isacharbraceleft}{\isacharbrackleft}{\isacharbrackright}{\isacharbraceright}{\isacharbraceright}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3769


\ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3770


\ {\isacharparenleft}rule\ quot{\isacharunderscore}empty{\isacharunderscore}subset{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3771


\ \ \isacommand{with}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3772


\ prems\ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3773


\ {\isacharquery}case\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3774


\ {\isacharparenleft}auto\ intro{\isacharcolon}finite{\isacharunderscore}subset{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3775


\isacommand{next}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3776


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3777


\ \ \isacommand{case}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3778


\ {\isacharparenleft}CHAR\ c{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3779


\ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3780


\ {\isachardoublequoteopen}UNIV\ {\isacharslash}{\isacharslash}\ {\isacharparenleft}{\isasymapprox}{\isacharbraceleft}{\isacharbrackleft}c{\isacharbrackright}{\isacharbraceright}{\isacharparenright}\ {\isasymsubseteq}\ {\isacharbraceleft}{\isacharbraceleft}{\isacharbrackleft}{\isacharbrackright}{\isacharbraceright}{\isacharcomma}{\isacharbraceleft}{\isacharbrackleft}c{\isacharbrackright}{\isacharbraceright}{\isacharcomma}\ UNIV\ {\isacharminus}\ {\isacharbraceleft}{\isacharbrackleft}{\isacharbrackright}{\isacharcomma}\ {\isacharbrackleft}c{\isacharbrackright}{\isacharbraceright}{\isacharbraceright}{\isachardoublequoteclose}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3781


\ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3782


\ {\isacharparenleft}rule\ quot{\isacharunderscore}char{\isacharunderscore}subset{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3783


\ \ \isacommand{with}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3784


\ prems\ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3785


\ {\isacharquery}case\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3786


\ {\isacharparenleft}auto\ intro{\isacharcolon}finite{\isacharunderscore}subset{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3787


\isacommand{next}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3788


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3789


\ \ \isacommand{case}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3790


\ {\isacharparenleft}SEQ\ r\isactrlisub {\isadigit{1}}\ r\isactrlisub {\isadigit{2}}{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3791


\ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3792


\ {\isachardoublequoteopen}{\isasymlbrakk}finite\ {\isacharparenleft}UNIV\ {\isacharslash}{\isacharslash}\ {\isasymapprox}{\isacharparenleft}L\ r\isactrlisub {\isadigit{1}}{\isacharparenright}{\isacharparenright}{\isacharsemicolon}\ finite\ {\isacharparenleft}UNIV\ {\isacharslash}{\isacharslash}\ {\isasymapprox}{\isacharparenleft}L\ r\isactrlisub {\isadigit{2}}{\isacharparenright}{\isacharparenright}{\isasymrbrakk}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3793


\ \ \ \ \ \ \ \ \ \ \ \ {\isasymLongrightarrow}\ finite\ {\isacharparenleft}UNIV\ {\isacharslash}{\isacharslash}\ {\isasymapprox}{\isacharparenleft}L\ r\isactrlisub {\isadigit{1}}\ {\isacharsemicolon}{\isacharsemicolon}\ L\ r\isactrlisub {\isadigit{2}}{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3794


\ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3795


\ {\isacharparenleft}erule\ quot{\isacharunderscore}seq{\isacharunderscore}finiteI{\isacharcomma}\ simp{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3796


\ \ \isacommand{with}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3797


\ prems\ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3798


\ {\isacharquery}case\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3799


\ simp\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3800


\isacommand{next}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3801


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3802


\ \ \isacommand{case}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3803


\ {\isacharparenleft}ALT\ r\isactrlisub {\isadigit{1}}\ r\isactrlisub {\isadigit{2}}{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3804


\ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3805


\ {\isachardoublequoteopen}{\isasymlbrakk}finite\ {\isacharparenleft}UNIV\ {\isacharslash}{\isacharslash}\ {\isasymapprox}{\isacharparenleft}L\ r\isactrlisub {\isadigit{1}}{\isacharparenright}{\isacharparenright}{\isacharsemicolon}\ finite\ {\isacharparenleft}UNIV\ {\isacharslash}{\isacharslash}\ {\isasymapprox}{\isacharparenleft}L\ r\isactrlisub {\isadigit{2}}{\isacharparenright}{\isacharparenright}{\isasymrbrakk}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3806


\ \ \ \ \ \ \ \ \ \ \ \ {\isasymLongrightarrow}\ finite\ {\isacharparenleft}UNIV\ {\isacharslash}{\isacharslash}\ {\isasymapprox}{\isacharparenleft}L\ r\isactrlisub {\isadigit{1}}\ {\isasymunion}\ L\ r\isactrlisub {\isadigit{2}}{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3807


\ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3808


\ {\isacharparenleft}erule\ quot{\isacharunderscore}union{\isacharunderscore}finiteI{\isacharcomma}\ simp{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3809


\ \ \isacommand{with}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3810


\ prems\ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3811


\ {\isacharquery}case\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3812


\ simp\ \ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3813


\isacommand{next}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3814


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3815


\ \ \isacommand{case}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3816


\ {\isacharparenleft}STAR\ r{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3817


\ \ \isacommand{have}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3818


\ {\isachardoublequoteopen}finite\ {\isacharparenleft}UNIV\ {\isacharslash}{\isacharslash}\ {\isasymapprox}{\isacharparenleft}L\ r{\isacharparenright}{\isacharparenright}\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3819


\ \ \ \ \ \ \ \ \ \ \ \ {\isasymLongrightarrow}\ finite\ {\isacharparenleft}UNIV\ {\isacharslash}{\isacharslash}\ {\isasymapprox}{\isacharparenleft}{\isacharparenleft}L\ r{\isacharparenright}{\isasymstar}{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3820


\ \ \ \ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3821


\ {\isacharparenleft}erule\ quot{\isacharunderscore}star{\isacharunderscore}finiteI{\isacharparenright}\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3822


\ \ \isacommand{with}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3823


\ prems\ \isacommand{show}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3824


\ {\isacharquery}case\ \isacommand{by}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3825


\ simp\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3826


\isacommand{qed}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3827


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3828


\endisatagproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3829


{\isafoldproof}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3830


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3831


\isadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3832


\ \isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3833


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3834


\endisadelimproof













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3835


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3836


\isadelimtheory













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3837


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3838


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3839


\endisadelimtheory













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3840


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3841


\isatagtheory













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3842


\isacommand{end}\isamarkupfalse%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3843


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3844


\endisatagtheory













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3845


{\isafoldtheory}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3846


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3847


\isadelimtheory













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3848


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3849


%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3850


\endisadelimtheory













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3851


\isanewline













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3852


\end{isabellebody}%













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3853


%%% Local Variables:













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3854


%%% mode: latex













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3855


%%% TeX-master: "root"













f5db9e08effc
Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].



zhang


parents: 

diff
changeset




  3856


%%% End:















regexp