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tphols-2011/generated/List_Prefix.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].
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parents:
diff changeset 
     3
 
\def\isabellecontext{List{\isacharunderscore}Prefix}%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
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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
 
\isamarkupheader{List prefixes and postfixes%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
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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
 
\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 
     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
 
\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 
    10
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
    12
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
    14
 
\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].
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parents:
diff changeset 
    15
 
\ 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].
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diff changeset 
    16
 
\isakeyword{imports}\ List\ Main\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
    18
 
\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 
    19
 
{\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 
    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
 
\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 
    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
 
\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 
    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
 
\isamarkupsubsection{Prefix order on lists%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
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parents:
diff changeset 
    26
 
}
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
    28
 
\isacommand{instantiation}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
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diff changeset 
    29
 
\ list\ {\isacharcolon}{\isacharcolon}\ {\isacharparenleft}type{\isacharparenright}\ order\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
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parents:
diff changeset 
    30
 
\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 
    31
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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].
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parents:
diff changeset 
    33
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ prefix{\isacharunderscore}def\ {\isacharbrackleft}code\ del{\isacharbrackright}{\isacharcolon}\ {\isachardoublequoteopen}xs\ {\isasymle}\ ys\ {\isacharequal}\ {\isacharparenleft}{\isasymexists}zs{\isachardot}\ ys\ {\isacharequal}\ xs\ {\isacharat}\ zs{\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 
    35
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
    37
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ strict{\isacharunderscore}prefix{\isacharunderscore}def\ {\isacharbrackleft}code\ del{\isacharbrackright}{\isacharcolon}\ {\isachardoublequoteopen}xs\ {\isacharless}\ ys\ {\isacharequal}\ {\isacharparenleft}xs\ {\isasymle}\ ys\ {\isasymand}\ xs\ {\isasymnoteq}\ {\isacharparenleft}ys{\isacharcolon}{\isacharcolon}{\isacharprime}a\ list{\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 
    39
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\isacommand{instance}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] is created to host a build session for logical image [ListP] which is essentially [Main] extended with [List_prefix.thy].
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parents:
diff changeset 
    41
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
    44
 
\ \ %
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
    46
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
    48
 
\isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ intro{\isacharunderscore}classes\ {\isacharparenleft}auto\ simp\ add{\isacharcolon}\ prefix{\isacharunderscore}def\ 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 
    50
 
\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 
    51
 
{\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 
    52
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
    54
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
    57
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
    59
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
    62
 
\ prefixI\ {\isacharbrackleft}intro{\isacharquery}{\isacharbrackright}{\isacharcolon}\ {\isachardoublequoteopen}ys\ {\isacharequal}\ xs\ {\isacharat}\ zs\ {\isacharequal}{\isacharequal}{\isachargreater}\ xs\ {\isasymle}\ ys{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
    65
 
\ \ %
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
    67
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
    69
 
\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 
    70
 
\ prefix{\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 
    71
 
\ blast%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
    73
 
{\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 
    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
 
\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 
    76
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
    79
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
    81
 
\ prefixE\ {\isacharbrackleft}elim{\isacharquery}{\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 
    82
 
\ \ \isakeyword{assumes}\ {\isachardoublequoteopen}xs\ {\isasymle}\ ys{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ \isakeyword{obtains}\ zs\ \isakeyword{where}\ {\isachardoublequoteopen}ys\ {\isacharequal}\ xs\ {\isacharat}\ zs{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
    86
 
\ \ %
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
    88
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
    90
 
\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 
    91
 
\ assms\ \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 
    92
 
\ prefix{\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 
    93
 
\ blast%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
    95
 
{\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 
    96
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
    98
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   101
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   103
 
\ strict{\isacharunderscore}prefixI{\isacharprime}\ {\isacharbrackleft}intro{\isacharquery}{\isacharbrackright}{\isacharcolon}\ {\isachardoublequoteopen}ys\ {\isacharequal}\ xs\ {\isacharat}\ z\ {\isacharhash}\ zs\ {\isacharequal}{\isacharequal}{\isachargreater}\ xs\ {\isacharless}\ ys{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   110
 
\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 
   111
 
\ strict{\isacharunderscore}prefix{\isacharunderscore}def\ prefix{\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 
   112
 
\ blast%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   114
 
{\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 
   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
 
\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 
   117
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   120
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   122
 
\ strict{\isacharunderscore}prefixE{\isacharprime}\ {\isacharbrackleft}elim{\isacharquery}{\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 
   123
 
\ \ \isakeyword{assumes}\ {\isachardoublequoteopen}xs\ {\isacharless}\ ys{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ \isakeyword{obtains}\ z\ zs\ \isakeyword{where}\ {\isachardoublequoteopen}ys\ {\isacharequal}\ xs\ {\isacharat}\ z\ {\isacharhash}\ zs{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   127
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   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
 
\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 
   131
 
\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 
   132
 
\ {\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 
   133
 
\ \ \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 
   134
 
\ {\isacharbackquoteopen}xs\ {\isacharless}\ ys{\isacharbackquoteclose}\ \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 
   135
 
\ us\ \isakeyword{where}\ {\isachardoublequoteopen}ys\ {\isacharequal}\ xs\ {\isacharat}\ us{\isachardoublequoteclose}\ \isakeyword{and}\ {\isachardoublequoteopen}xs\ {\isasymnoteq}\ ys{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ \ \ \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 
   137
 
\ strict{\isacharunderscore}prefix{\isacharunderscore}def\ prefix{\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 
   138
 
\ 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 
   139
 
\ \ \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 
   140
 
\ that\ \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 
   141
 
\ {\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 
   142
 
\ {\isacharparenleft}auto\ simp\ add{\isacharcolon}\ neq{\isacharunderscore}Nil{\isacharunderscore}conv{\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 
   143
 
\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 
   144
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   146
 
{\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 
   147
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   149
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   154
 
\ strict{\isacharunderscore}prefixI\ {\isacharbrackleft}intro{\isacharquery}{\isacharbrackright}{\isacharcolon}\ {\isachardoublequoteopen}xs\ {\isasymle}\ ys\ {\isacharequal}{\isacharequal}{\isachargreater}\ xs\ {\isasymnoteq}\ ys\ {\isacharequal}{\isacharequal}{\isachargreater}\ xs\ {\isacharless}\ {\isacharparenleft}ys{\isacharcolon}{\isacharcolon}{\isacharprime}a\ list{\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 
   155
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   157
 
\ \ %
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   159
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   161
 
\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 
   162
 
\ strict{\isacharunderscore}prefix{\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 
   163
 
\ blast%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   165
 
{\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 
   166
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   168
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   173
 
\ strict{\isacharunderscore}prefixE\ {\isacharbrackleft}elim{\isacharquery}{\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 
   174
 
\ \ \isakeyword{fixes}\ xs\ ys\ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharprime}a\ list{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ \isakeyword{assumes}\ {\isachardoublequoteopen}xs\ {\isacharless}\ ys{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ \isakeyword{obtains}\ {\isachardoublequoteopen}xs\ {\isasymle}\ ys{\isachardoublequoteclose}\ \isakeyword{and}\ {\isachardoublequoteopen}xs\ {\isasymnoteq}\ ys{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ %
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   181
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   183
 
\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 
   184
 
\ assms\ \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 
   185
 
\ strict{\isacharunderscore}prefix{\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 
   186
 
\ blast%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   188
 
{\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 
   189
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   191
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   193
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\isamarkupsubsection{Basic properties of prefixes%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
}
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   197
 
\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 
   198
 
\ Nil{\isacharunderscore}prefix\ {\isacharbrackleft}iff{\isacharbrackright}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharbrackleft}{\isacharbrackright}\ {\isasymle}\ xs{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   201
 
\ \ %
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   203
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   205
 
\isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ {\isacharparenleft}simp\ add{\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 
   207
 
\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 
   208
 
{\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 
   209
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   211
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   214
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   216
 
\ prefix{\isacharunderscore}Nil\ {\isacharbrackleft}simp{\isacharbrackright}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}xs\ {\isasymle}\ {\isacharbrackleft}{\isacharbrackright}{\isacharparenright}\ {\isacharequal}\ {\isacharparenleft}xs\ {\isacharequal}\ {\isacharbrackleft}{\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 
   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{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ {\isacharparenleft}induct\ xs{\isacharparenright}\ {\isacharparenleft}simp{\isacharunderscore}all\ add{\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 
   225
 
\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 
   226
 
{\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 
   227
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   229
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   232
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   234
 
\ prefix{\isacharunderscore}snoc\ {\isacharbrackleft}simp{\isacharbrackright}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}xs\ {\isasymle}\ ys\ {\isacharat}\ {\isacharbrackleft}y{\isacharbrackright}{\isacharparenright}\ {\isacharequal}\ {\isacharparenleft}xs\ {\isacharequal}\ ys\ {\isacharat}\ {\isacharbrackleft}y{\isacharbrackright}\ {\isasymor}\ xs\ {\isasymle}\ ys{\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 
   235
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   237
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   239
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   241
 
\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 
   242
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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{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 
   244
 
\ {\isachardoublequoteopen}xs\ {\isasymle}\ ys\ {\isacharat}\ {\isacharbrackleft}y{\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 
   245
 
\ \ \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 
   246
 
\ \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 
   247
 
\ zs\ \isakeyword{where}\ zs{\isacharcolon}\ {\isachardoublequoteopen}ys\ {\isacharat}\ {\isacharbrackleft}y{\isacharbrackright}\ {\isacharequal}\ xs\ {\isacharat}\ zs{\isachardoublequoteclose}\ \isacommand{{\isachardot}{\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 
   248
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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}xs\ {\isacharequal}\ ys\ {\isacharat}\ {\isacharbrackleft}y{\isacharbrackright}\ {\isasymor}\ xs\ {\isasymle}\ ys{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ {\isacharparenleft}metis\ append{\isacharunderscore}Nil{\isadigit{2}}\ butlast{\isacharunderscore}append\ butlast{\isacharunderscore}snoc\ prefixI\ zs{\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 
   253
 
\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 
   254
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ \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 
   256
 
\ {\isachardoublequoteopen}xs\ {\isacharequal}\ ys\ {\isacharat}\ {\isacharbrackleft}y{\isacharbrackright}\ {\isasymor}\ xs\ {\isasymle}\ ys{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ \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 
   258
 
\ \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 
   259
 
\ {\isachardoublequoteopen}xs\ {\isasymle}\ ys\ {\isacharat}\ {\isacharbrackleft}y{\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 
   260
 
\ \ \ \ \isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ {\isacharparenleft}metis\ order{\isacharunderscore}eq{\isacharunderscore}iff\ strict{\isacharunderscore}prefixE\ strict{\isacharunderscore}prefixI{\isacharprime}\ xt{\isadigit{1}}{\isacharparenleft}{\isadigit{7}}{\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 
   262
 
\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 
   263
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   265
 
{\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 
   266
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   268
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   271
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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{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 
   273
 
\ Cons{\isacharunderscore}prefix{\isacharunderscore}Cons\ {\isacharbrackleft}simp{\isacharbrackright}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}x\ {\isacharhash}\ xs\ {\isasymle}\ y\ {\isacharhash}\ ys{\isacharparenright}\ {\isacharequal}\ {\isacharparenleft}x\ {\isacharequal}\ y\ {\isasymand}\ xs\ {\isasymle}\ ys{\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 
   274
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   276
 
\ \ %
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   278
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   280
 
\isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ {\isacharparenleft}auto\ simp\ add{\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 
   282
 
\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 
   283
 
{\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 
   284
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   286
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   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{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 
   291
 
\ same{\isacharunderscore}prefix{\isacharunderscore}prefix\ {\isacharbrackleft}simp{\isacharbrackright}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}xs\ {\isacharat}\ ys\ {\isasymle}\ xs\ {\isacharat}\ zs{\isacharparenright}\ {\isacharequal}\ {\isacharparenleft}ys\ {\isasymle}\ zs{\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 
   292
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   294
 
\ \ %
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   296
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   298
 
\isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ {\isacharparenleft}induct\ xs{\isacharparenright}\ simp{\isacharunderscore}all%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   301
 
{\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 
   302
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   304
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   307
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   309
 
\ same{\isacharunderscore}prefix{\isacharunderscore}nil\ {\isacharbrackleft}iff{\isacharbrackright}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}xs\ {\isacharat}\ ys\ {\isasymle}\ xs{\isacharparenright}\ {\isacharequal}\ {\isacharparenleft}ys\ {\isacharequal}\ {\isacharbrackleft}{\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 
   310
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   312
 
\ \ %
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   314
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   316
 
\isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ {\isacharparenleft}metis\ append{\isacharunderscore}Nil{\isadigit{2}}\ append{\isacharunderscore}self{\isacharunderscore}conv\ order{\isacharunderscore}eq{\isacharunderscore}iff\ prefixI{\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 
   318
 
\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 
   319
 
{\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 
   320
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   322
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   325
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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{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 
   327
 
\ prefix{\isacharunderscore}prefix\ {\isacharbrackleft}simp{\isacharbrackright}{\isacharcolon}\ {\isachardoublequoteopen}xs\ {\isasymle}\ ys\ {\isacharequal}{\isacharequal}{\isachargreater}\ xs\ {\isasymle}\ ys\ {\isacharat}\ zs{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   330
 
\ \ %
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   332
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   334
 
\isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ {\isacharparenleft}metis\ order{\isacharunderscore}le{\isacharunderscore}less{\isacharunderscore}trans\ prefixI\ strict{\isacharunderscore}prefixE\ strict{\isacharunderscore}prefixI{\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 
   336
 
\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 
   337
 
{\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 
   338
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   340
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   343
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   345
 
\ append{\isacharunderscore}prefixD{\isacharcolon}\ {\isachardoublequoteopen}xs\ {\isacharat}\ ys\ {\isasymle}\ zs\ {\isasymLongrightarrow}\ xs\ {\isasymle}\ zs{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   348
 
\ \ %
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   350
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   352
 
\isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ {\isacharparenleft}auto\ simp\ add{\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 
   354
 
\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 
   355
 
{\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 
   356
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   361
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   363
 
\ prefix{\isacharunderscore}Cons{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}xs\ {\isasymle}\ y\ {\isacharhash}\ ys{\isacharparenright}\ {\isacharequal}\ {\isacharparenleft}xs\ {\isacharequal}\ {\isacharbrackleft}{\isacharbrackright}\ {\isasymor}\ {\isacharparenleft}{\isasymexists}zs{\isachardot}\ xs\ {\isacharequal}\ y\ {\isacharhash}\ zs\ {\isasymand}\ zs\ {\isasymle}\ ys{\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 
   364
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   366
 
\ \ %
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   368
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   370
 
\isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ {\isacharparenleft}cases\ xs{\isacharparenright}\ {\isacharparenleft}auto\ simp\ add{\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 
   372
 
\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 
   373
 
{\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 
   374
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   376
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   379
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   381
 
\ prefix{\isacharunderscore}append{\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 
   382
 
\ \ {\isachardoublequoteopen}{\isacharparenleft}xs\ {\isasymle}\ ys\ {\isacharat}\ zs{\isacharparenright}\ {\isacharequal}\ {\isacharparenleft}xs\ {\isasymle}\ ys\ {\isasymor}\ {\isacharparenleft}{\isasymexists}us{\isachardot}\ xs\ {\isacharequal}\ ys\ {\isacharat}\ us\ {\isasymand}\ us\ {\isasymle}\ zs{\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 
   383
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   385
 
\ \ %
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   387
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   389
 
\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 
   390
 
\ {\isacharparenleft}induct\ zs\ rule{\isacharcolon}\ rev{\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 
   391
 
\ \ \ \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 
   392
 
\ force\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ \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 
   394
 
\ {\isacharparenleft}simp\ del{\isacharcolon}\ append{\isacharunderscore}assoc\ add{\isacharcolon}\ append{\isacharunderscore}assoc\ {\isacharbrackleft}symmetric{\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 
   395
 
\ \ \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 
   396
 
\ {\isacharparenleft}metis\ append{\isacharunderscore}eq{\isacharunderscore}appendI{\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 
   397
 
\ \ \isacommand{done}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   400
 
{\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 
   401
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   403
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   406
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   408
 
\ append{\isacharunderscore}one{\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 
   409
 
\ \ {\isachardoublequoteopen}xs\ {\isasymle}\ ys\ {\isacharequal}{\isacharequal}{\isachargreater}\ length\ xs\ {\isacharless}\ length\ ys\ {\isacharequal}{\isacharequal}{\isachargreater}\ xs\ {\isacharat}\ {\isacharbrackleft}ys\ {\isacharbang}\ length\ xs{\isacharbrackright}\ {\isasymle}\ ys{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   412
 
\ \ %
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   414
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   416
 
\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 
   417
 
\ prefix{\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 
   418
 
\ \ \isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ {\isacharparenleft}metis\ Cons{\isacharunderscore}eq{\isacharunderscore}appendI\ append{\isacharunderscore}eq{\isacharunderscore}appendI\ append{\isacharunderscore}eq{\isacharunderscore}conv{\isacharunderscore}conj\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ \ \ eq{\isacharunderscore}Nil{\isacharunderscore}appendI\ nth{\isacharunderscore}drop{\isacharprime}{\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 
   421
 
\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 
   422
 
{\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 
   423
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   425
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   428
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   430
 
\ prefix{\isacharunderscore}length{\isacharunderscore}le{\isacharcolon}\ {\isachardoublequoteopen}xs\ {\isasymle}\ ys\ {\isacharequal}{\isacharequal}{\isachargreater}\ length\ xs\ {\isasymle}\ length\ ys{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   433
 
\ \ %
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   435
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   437
 
\isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ {\isacharparenleft}auto\ simp\ add{\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 
   439
 
\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 
   440
 
{\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 
   441
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   443
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   446
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   448
 
\ prefix{\isacharunderscore}same{\isacharunderscore}cases{\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 
   449
 
\ \ {\isachardoublequoteopen}{\isacharparenleft}xs\isactrlisub {\isadigit{1}}{\isacharcolon}{\isacharcolon}{\isacharprime}a\ list{\isacharparenright}\ {\isasymle}\ ys\ {\isasymLongrightarrow}\ xs\isactrlisub {\isadigit{2}}\ {\isasymle}\ ys\ {\isasymLongrightarrow}\ xs\isactrlisub {\isadigit{1}}\ {\isasymle}\ xs\isactrlisub {\isadigit{2}}\ {\isasymor}\ xs\isactrlisub {\isadigit{2}}\ {\isasymle}\ xs\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 
   450
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   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
 
\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 
   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
 
\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 
   456
 
\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 
   457
 
\ prefix{\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 
   458
 
\ {\isacharparenleft}metis\ append{\isacharunderscore}eq{\isacharunderscore}append{\isacharunderscore}conv{\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 
   459
 
\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 
   460
 
{\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 
   461
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   463
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   468
 
\ set{\isacharunderscore}mono{\isacharunderscore}prefix{\isacharcolon}\ {\isachardoublequoteopen}xs\ {\isasymle}\ ys\ {\isasymLongrightarrow}\ set\ xs\ {\isasymsubseteq}\ set\ ys{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   471
 
\ \ %
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   473
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   475
 
\isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ {\isacharparenleft}auto\ simp\ add{\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 
   477
 
\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 
   478
 
{\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 
   479
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   481
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   484
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   486
 
\ take{\isacharunderscore}is{\isacharunderscore}prefix{\isacharcolon}\ {\isachardoublequoteopen}take\ n\ xs\ {\isasymle}\ xs{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   489
 
\ \ %
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   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
 
\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 
   493
 
\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 
   494
 
\ prefix{\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 
   495
 
\ {\isacharparenleft}metis\ append{\isacharunderscore}take{\isacharunderscore}drop{\isacharunderscore}id{\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 
   496
 
\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 
   497
 
{\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 
   498
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   500
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   503
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   505
 
\ map{\isacharunderscore}prefixI{\isacharcolon}\ {\isachardoublequoteopen}xs\ {\isasymle}\ ys\ {\isasymLongrightarrow}\ map\ f\ xs\ {\isasymle}\ map\ f\ ys{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   508
 
\ \ %
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   510
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   512
 
\isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ {\isacharparenleft}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 
   514
 
\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 
   515
 
{\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 
   516
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   518
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   521
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   523
 
\ prefix{\isacharunderscore}length{\isacharunderscore}less{\isacharcolon}\ {\isachardoublequoteopen}xs\ {\isacharless}\ ys\ {\isasymLongrightarrow}\ length\ xs\ {\isacharless}\ length\ ys{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   526
 
\ \ %
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   528
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   530
 
\isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ {\isacharparenleft}auto\ simp{\isacharcolon}\ strict{\isacharunderscore}prefix{\isacharunderscore}def\ 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 
   532
 
\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 
   533
 
{\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 
   534
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   536
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   539
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   541
 
\ strict{\isacharunderscore}prefix{\isacharunderscore}simps\ {\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 
   542
 
\ \ \ \ {\isachardoublequoteopen}xs\ {\isacharless}\ {\isacharbrackleft}{\isacharbrackright}\ {\isacharequal}\ 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 
   543
 
\ \ \ \ {\isachardoublequoteopen}{\isacharbrackleft}{\isacharbrackright}\ {\isacharless}\ {\isacharparenleft}x\ {\isacharhash}\ xs{\isacharparenright}\ {\isacharequal}\ True{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ \ \ {\isachardoublequoteopen}{\isacharparenleft}x\ {\isacharhash}\ xs{\isacharparenright}\ {\isacharless}\ {\isacharparenleft}y\ {\isacharhash}\ ys{\isacharparenright}\ {\isacharequal}\ {\isacharparenleft}x\ {\isacharequal}\ y\ {\isasymand}\ xs\ {\isacharless}\ ys{\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 
   545
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   547
 
\ \ %
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   549
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   551
 
\isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ {\isacharparenleft}simp{\isacharunderscore}all\ add{\isacharcolon}\ strict{\isacharunderscore}prefix{\isacharunderscore}def\ cong{\isacharcolon}\ conj{\isacharunderscore}cong{\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 
   553
 
\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 
   554
 
{\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 
   555
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   557
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   560
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   562
 
\ take{\isacharunderscore}strict{\isacharunderscore}prefix{\isacharcolon}\ {\isachardoublequoteopen}xs\ {\isacharless}\ ys\ {\isasymLongrightarrow}\ take\ n\ xs\ {\isacharless}\ ys{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   565
 
\ \ %
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   567
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   569
 
\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 
   570
 
\ {\isacharparenleft}induct\ n\ arbitrary{\isacharcolon}\ xs\ ys{\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 
   571
 
\ \ \ \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 
   572
 
\ {\isacharparenleft}case{\isacharunderscore}tac\ ys{\isacharcomma}\ simp{\isacharunderscore}all{\isacharparenright}{\isacharbrackleft}{\isadigit{1}}{\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 
   573
 
\ \ \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 
   574
 
\ {\isacharparenleft}metis\ order{\isacharunderscore}less{\isacharunderscore}trans\ strict{\isacharunderscore}prefixI\ take{\isacharunderscore}is{\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 
   575
 
\ \ \isacommand{done}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   578
 
{\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 
   579
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   581
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   584
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   586
 
\ not{\isacharunderscore}prefix{\isacharunderscore}cases{\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 
   587
 
\ \ \isakeyword{assumes}\ pfx{\isacharcolon}\ {\isachardoublequoteopen}{\isasymnot}\ ps\ {\isasymle}\ ls{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ \isakeyword{obtains}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ \ \ {\isacharparenleft}c{\isadigit{1}}{\isacharparenright}\ {\isachardoublequoteopen}ps\ {\isasymnoteq}\ {\isacharbrackleft}{\isacharbrackright}{\isachardoublequoteclose}\ \isakeyword{and}\ {\isachardoublequoteopen}ls\ {\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 
   590
 
\ \ {\isacharbar}\ {\isacharparenleft}c{\isadigit{2}}{\isacharparenright}\ a\ as\ x\ xs\ \isakeyword{where}\ {\isachardoublequoteopen}ps\ {\isacharequal}\ a{\isacharhash}as{\isachardoublequoteclose}\ \isakeyword{and}\ {\isachardoublequoteopen}ls\ {\isacharequal}\ x{\isacharhash}xs{\isachardoublequoteclose}\ \isakeyword{and}\ {\isachardoublequoteopen}x\ {\isacharequal}\ a{\isachardoublequoteclose}\ \isakeyword{and}\ {\isachardoublequoteopen}{\isasymnot}\ as\ {\isasymle}\ xs{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ {\isacharbar}\ {\isacharparenleft}c{\isadigit{3}}{\isacharparenright}\ a\ as\ x\ xs\ \isakeyword{where}\ {\isachardoublequoteopen}ps\ {\isacharequal}\ a{\isacharhash}as{\isachardoublequoteclose}\ \isakeyword{and}\ {\isachardoublequoteopen}ls\ {\isacharequal}\ x{\isacharhash}xs{\isachardoublequoteclose}\ \isakeyword{and}\ {\isachardoublequoteopen}x\ {\isasymnoteq}\ 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 
   592
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   594
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   596
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   598
 
\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 
   599
 
\ {\isacharparenleft}cases\ ps{\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 
   600
 
\ \ \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 
   601
 
\ Nil\ \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 
   602
 
\ \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 
   603
 
\ {\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 
   604
 
\ pfx\ \isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ 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 
   606
 
\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 
   607
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ \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 
   609
 
\ {\isacharparenleft}Cons\ a\ as{\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 
   610
 
\ \ \isacommand{note}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ c\ {\isacharequal}\ {\isacharbackquoteopen}ps\ {\isacharequal}\ a{\isacharhash}as{\isacharbackquoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ \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 
   613
 
\ {\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 
   614
 
\ \ \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 
   615
 
\ {\isacharparenleft}cases\ ls{\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 
   616
 
\ \ \ \ \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 
   617
 
\ Nil\ \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 
   618
 
\ \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 
   619
 
\ {\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 
   620
 
\ {\isacharparenleft}metis\ append{\isacharunderscore}Nil{\isadigit{2}}\ pfx\ c{\isadigit{1}}\ same{\isacharunderscore}prefix{\isacharunderscore}nil{\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 
   621
 
\ \ \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 
   622
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ \ \ \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 
   624
 
\ {\isacharparenleft}Cons\ x\ xs{\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 
   625
 
\ \ \ \ \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 
   626
 
\ {\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 
   627
 
\ \ \ \ \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 
   628
 
\ {\isacharparenleft}cases\ {\isachardoublequoteopen}x\ {\isacharequal}\ 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 
   629
 
\ \ \ \ \ \ \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 
   630
 
\ 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 
   631
 
\ \ \ \ \ \ \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 
   632
 
\ {\isachardoublequoteopen}{\isasymnot}\ as\ {\isasymle}\ xs{\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 
   633
 
\ pfx\ c\ Cons\ 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 
   634
 
\ 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 
   635
 
\ \ \ \ \ \ \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 
   636
 
\ c\ Cons\ True\ \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 
   637
 
\ {\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 
   638
 
\ {\isacharparenleft}rule\ c{\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 
   639
 
\ \ \ \ \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 
   640
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ \ \ \ \ \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 
   642
 
\ 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 
   643
 
\ \ \ \ \ \ \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 
   644
 
\ c\ Cons\ \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 
   645
 
\ {\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 
   646
 
\ {\isacharparenleft}rule\ c{\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 
   647
 
\ \ \ \ \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 
   648
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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{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 
   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
 
\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 
   652
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   654
 
{\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 
   655
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   660
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   662
 
\ not{\isacharunderscore}prefix{\isacharunderscore}induct\ {\isacharbrackleft}consumes\ {\isadigit{1}}{\isacharcomma}\ case{\isacharunderscore}names\ Nil\ Neq\ Eq{\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 
   663
 
\ \ \isakeyword{assumes}\ np{\isacharcolon}\ {\isachardoublequoteopen}{\isasymnot}\ ps\ {\isasymle}\ ls{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ \ \ \isakeyword{and}\ base{\isacharcolon}\ {\isachardoublequoteopen}{\isasymAnd}x\ xs{\isachardot}\ P\ {\isacharparenleft}x{\isacharhash}xs{\isacharparenright}\ {\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 
   665
 
\ \ \ \ \isakeyword{and}\ r{\isadigit{1}}{\isacharcolon}\ {\isachardoublequoteopen}{\isasymAnd}x\ xs\ y\ ys{\isachardot}\ x\ {\isasymnoteq}\ y\ {\isasymLongrightarrow}\ P\ {\isacharparenleft}x{\isacharhash}xs{\isacharparenright}\ {\isacharparenleft}y{\isacharhash}ys{\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 
   666
 
\ \ \ \ \isakeyword{and}\ r{\isadigit{2}}{\isacharcolon}\ {\isachardoublequoteopen}{\isasymAnd}x\ xs\ y\ ys{\isachardot}\ {\isasymlbrakk}\ x\ {\isacharequal}\ y{\isacharsemicolon}\ {\isasymnot}\ xs\ {\isasymle}\ ys{\isacharsemicolon}\ P\ xs\ ys\ {\isasymrbrakk}\ {\isasymLongrightarrow}\ P\ {\isacharparenleft}x{\isacharhash}xs{\isacharparenright}\ {\isacharparenleft}y{\isacharhash}ys{\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 
   667
 
\ \ \isakeyword{shows}\ {\isachardoublequoteopen}P\ ps\ ls{\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 
   668
 
\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 
   669
 
\ %
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   671
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   673
 
\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 
   674
 
\ np\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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{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 
   676
 
\ {\isacharparenleft}induct\ ls\ arbitrary{\isacharcolon}\ ps{\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 
   677
 
\ \ \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 
   678
 
\ Nil\ \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 
   679
 
\ \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 
   680
 
\ {\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 
   681
 
\ \ \ \ \isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ {\isacharparenleft}auto\ simp{\isacharcolon}\ neq{\isacharunderscore}Nil{\isacharunderscore}conv\ elim{\isacharbang}{\isacharcolon}\ not{\isacharunderscore}prefix{\isacharunderscore}cases\ intro{\isacharbang}{\isacharcolon}\ base{\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 
   683
 
\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 
   684
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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{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 
   686
 
\ {\isacharparenleft}Cons\ y\ ys{\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 
   687
 
\ \ \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 
   688
 
\ \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 
   689
 
\ npfx{\isacharcolon}\ {\isachardoublequoteopen}{\isasymnot}\ ps\ {\isasymle}\ {\isacharparenleft}y\ {\isacharhash}\ ys{\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 
   690
 
\ 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 
   691
 
\ \ \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 
   692
 
\ \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 
   693
 
\ x\ xs\ \isakeyword{where}\ pv{\isacharcolon}\ {\isachardoublequoteopen}ps\ {\isacharequal}\ x\ {\isacharhash}\ xs{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ \ \ \isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ {\isacharparenleft}rule\ not{\isacharunderscore}prefix{\isacharunderscore}cases{\isacharparenright}\ 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 
   696
 
\ \ \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 
   697
 
\ {\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 
   698
 
\ {\isacharparenleft}metis\ Cons{\isachardot}hyps\ Cons{\isacharunderscore}prefix{\isacharunderscore}Cons\ npfx\ pv\ r{\isadigit{1}}\ r{\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 
   699
 
\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 
   700
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   702
 
{\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 
   703
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   705
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   707
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\isamarkupsubsection{Parallel lists%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
}
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   711
 
\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 
   712
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ parallel\ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharprime}a\ list\ {\isacharequal}{\isachargreater}\ {\isacharprime}a\ list\ {\isacharequal}{\isachargreater}\ bool{\isachardoublequoteclose}\ \ {\isacharparenleft}\isakeyword{infixl}\ {\isachardoublequoteopen}{\isasymparallel}{\isachardoublequoteclose}\ {\isadigit{5}}{\isadigit{0}}{\isacharparenright}\ \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 
   714
 
\ \ {\isachardoublequoteopen}{\isacharparenleft}xs\ {\isasymparallel}\ ys{\isacharparenright}\ {\isacharequal}\ {\isacharparenleft}{\isasymnot}\ xs\ {\isasymle}\ ys\ {\isasymand}\ {\isasymnot}\ ys\ {\isasymle}\ xs{\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 
   715
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   717
 
\ parallelI\ {\isacharbrackleft}intro{\isacharbrackright}{\isacharcolon}\ {\isachardoublequoteopen}{\isasymnot}\ xs\ {\isasymle}\ ys\ {\isacharequal}{\isacharequal}{\isachargreater}\ {\isasymnot}\ ys\ {\isasymle}\ xs\ {\isacharequal}{\isacharequal}{\isachargreater}\ xs\ {\isasymparallel}\ ys{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   720
 
\ \ %
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   722
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   724
 
\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 
   725
 
\ parallel{\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 
   726
 
\ blast%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   728
 
{\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 
   729
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   731
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   734
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   736
 
\ parallelE\ {\isacharbrackleft}elim{\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 
   737
 
\ \ \isakeyword{assumes}\ {\isachardoublequoteopen}xs\ {\isasymparallel}\ ys{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ \isakeyword{obtains}\ {\isachardoublequoteopen}{\isasymnot}\ xs\ {\isasymle}\ ys\ {\isasymand}\ {\isasymnot}\ ys\ {\isasymle}\ xs{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   741
 
\ \ %
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   743
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   745
 
\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 
   746
 
\ assms\ \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 
   747
 
\ parallel{\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 
   748
 
\ blast%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   750
 
{\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 
   751
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   753
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   756
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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{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 
   758
 
\ prefix{\isacharunderscore}cases{\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 
   759
 
\ \ \isakeyword{obtains}\ {\isachardoublequoteopen}xs\ {\isasymle}\ ys{\isachardoublequoteclose}\ {\isacharbar}\ {\isachardoublequoteopen}ys\ {\isacharless}\ xs{\isachardoublequoteclose}\ {\isacharbar}\ {\isachardoublequoteopen}xs\ {\isasymparallel}\ ys{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   762
 
\ \ %
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   764
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   766
 
\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 
   767
 
\ parallel{\isacharunderscore}def\ strict{\isacharunderscore}prefix{\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 
   768
 
\ blast%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   770
 
{\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 
   771
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   773
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   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{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 
   778
 
\ parallel{\isacharunderscore}decomp{\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 
   779
 
\ \ {\isachardoublequoteopen}xs\ {\isasymparallel}\ ys\ {\isacharequal}{\isacharequal}{\isachargreater}\ {\isasymexists}as\ b\ bs\ c\ cs{\isachardot}\ b\ {\isasymnoteq}\ c\ {\isasymand}\ xs\ {\isacharequal}\ as\ {\isacharat}\ b\ {\isacharhash}\ bs\ {\isasymand}\ ys\ {\isacharequal}\ as\ {\isacharat}\ c\ {\isacharhash}\ 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 
   780
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   782
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   784
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   786
 
\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 
   787
 
\ {\isacharparenleft}induct\ xs\ rule{\isacharcolon}\ rev{\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 
   788
 
\ \ \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 
   789
 
\ Nil\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ \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 
   791
 
\ \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 
   792
 
\ False\ \isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ 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 
   794
 
\ \ \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 
   795
 
\ \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 
   796
 
\ {\isacharquery}case\ \isacommand{{\isachardot}{\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 
   797
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   799
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ \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 
   801
 
\ {\isacharparenleft}snoc\ x\ xs{\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 
   802
 
\ \ \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 
   803
 
\ {\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 
   804
 
\ \ \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 
   805
 
\ {\isacharparenleft}rule\ prefix{\isacharunderscore}cases{\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 
   806
 
\ \ \ \ \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 
   807
 
\ le{\isacharcolon}\ {\isachardoublequoteopen}xs\ {\isasymle}\ ys{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ \ \ \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 
   809
 
\ \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 
   810
 
\ ys{\isacharprime}\ \isakeyword{where}\ ys{\isacharcolon}\ {\isachardoublequoteopen}ys\ {\isacharequal}\ xs\ {\isacharat}\ ys{\isacharprime}{\isachardoublequoteclose}\ \isacommand{{\isachardot}{\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 
   811
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ \ \ \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 
   813
 
\ {\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 
   814
 
\ \ \ \ \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 
   815
 
\ {\isacharparenleft}cases\ ys{\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 
   816
 
\ \ \ \ \ \ \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 
   817
 
\ {\isachardoublequoteopen}ys{\isacharprime}\ {\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 
   818
 
\ \ \ \ \ \ \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 
   819
 
\ \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 
   820
 
\ {\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 
   821
 
\ {\isacharparenleft}metis\ append{\isacharunderscore}Nil{\isadigit{2}}\ parallelE\ prefixI\ snoc{\isachardot}prems\ ys{\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 
   822
 
\ \ \ \ \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 
   823
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ \ \ \ \ \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 
   825
 
\ c\ cs\ \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 
   826
 
\ ys{\isacharprime}{\isacharcolon}\ {\isachardoublequoteopen}ys{\isacharprime}\ {\isacharequal}\ c\ {\isacharhash}\ 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 
   827
 
\ \ \ \ \ \ \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 
   828
 
\ \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 
   829
 
\ {\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 
   830
 
\ \ \ \ \ \ \ \ \isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ {\isacharparenleft}metis\ Cons{\isacharunderscore}eq{\isacharunderscore}appendI\ eq{\isacharunderscore}Nil{\isacharunderscore}appendI\ parallelE\ prefixI\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ \ \ \ \ \ \ \ \ same{\isacharunderscore}prefix{\isacharunderscore}prefix\ snoc{\isachardot}prems\ ys{\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 
   833
 
\ \ \ \ \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 
   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
 
\ \ \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 
   836
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ \ \ \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 
   838
 
\ {\isachardoublequoteopen}ys\ {\isacharless}\ xs{\isachardoublequoteclose}\ \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 
   839
 
\ \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 
   840
 
\ {\isachardoublequoteopen}ys\ {\isasymle}\ xs\ {\isacharat}\ {\isacharbrackleft}x{\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 
   841
 
\ {\isacharparenleft}simp\ add{\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 
   842
 
\ \ \ \ \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 
   843
 
\ snoc\ \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 
   844
 
\ False\ \isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ 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 
   846
 
\ \ \ \ \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 
   847
 
\ \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 
   848
 
\ {\isacharquery}thesis\ \isacommand{{\isachardot}{\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 
   849
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ \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 
   851
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ \ \ \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 
   853
 
\ {\isachardoublequoteopen}xs\ {\isasymparallel}\ ys{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ \ \ \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 
   855
 
\ snoc\ \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 
   856
 
\ as\ b\ bs\ c\ cs\ \isakeyword{where}\ neq{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}b{\isacharcolon}{\isacharcolon}{\isacharprime}a{\isacharparenright}\ {\isasymnoteq}\ c{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ \ \ \ \ \isakeyword{and}\ xs{\isacharcolon}\ {\isachardoublequoteopen}xs\ {\isacharequal}\ as\ {\isacharat}\ b\ {\isacharhash}\ bs{\isachardoublequoteclose}\ \isakeyword{and}\ ys{\isacharcolon}\ {\isachardoublequoteopen}ys\ {\isacharequal}\ as\ {\isacharat}\ c\ {\isacharhash}\ 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 
   858
 
\ \ \ \ \ \ \isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ 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 
   860
 
\ \ \ \ \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 
   861
 
\ xs\ \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 
   862
 
\ {\isachardoublequoteopen}xs\ {\isacharat}\ {\isacharbrackleft}x{\isacharbrackright}\ {\isacharequal}\ as\ {\isacharat}\ b\ {\isacharhash}\ {\isacharparenleft}bs\ {\isacharat}\ {\isacharbrackleft}x{\isacharbrackright}{\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 
   863
 
\ 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 
   864
 
\ \ \ \ \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 
   865
 
\ neq\ ys\ \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 
   866
 
\ {\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 
   867
 
\ 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 
   868
 
\ \ \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 
   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
 
\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 
   871
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   873
 
{\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 
   874
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   876
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   879
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   881
 
\ parallel{\isacharunderscore}append{\isacharcolon}\ {\isachardoublequoteopen}a\ {\isasymparallel}\ b\ {\isasymLongrightarrow}\ a\ {\isacharat}\ c\ {\isasymparallel}\ b\ {\isacharat}\ d{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   884
 
\ \ %
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   886
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   888
 
\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 
   889
 
\ {\isacharparenleft}rule\ parallelI{\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 
   890
 
\ \ \ \ \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 
   891
 
\ {\isacharparenleft}erule\ parallelE{\isacharcomma}\ erule\ conjE{\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 
   892
 
\ \ \ \ \ \ induct\ rule{\isacharcolon}\ not{\isacharunderscore}prefix{\isacharunderscore}induct{\isacharcomma}\ simp{\isacharplus}{\isacharparenright}{\isacharplus}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ \isacommand{done}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   896
 
{\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 
   897
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   899
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   902
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   904
 
\ parallel{\isacharunderscore}appendI{\isacharcolon}\ {\isachardoublequoteopen}xs\ {\isasymparallel}\ ys\ {\isasymLongrightarrow}\ x\ {\isacharequal}\ xs\ {\isacharat}\ xs{\isacharprime}\ {\isasymLongrightarrow}\ y\ {\isacharequal}\ ys\ {\isacharat}\ ys{\isacharprime}\ {\isasymLongrightarrow}\ x\ {\isasymparallel}\ 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 
   905
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   907
 
\ \ %
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   909
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   911
 
\isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ {\isacharparenleft}simp\ add{\isacharcolon}\ parallel{\isacharunderscore}append{\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 
   913
 
\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 
   914
 
{\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 
   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
 
\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 
   917
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   920
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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{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 
   922
 
\ parallel{\isacharunderscore}commute{\isacharcolon}\ {\isachardoublequoteopen}a\ {\isasymparallel}\ b\ {\isasymlongleftrightarrow}\ b\ {\isasymparallel}\ 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 
   923
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   925
 
\ \ %
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   927
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   929
 
\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 
   930
 
\ parallel{\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 
   931
 
\ 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 
   932
 
\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 
   933
 
{\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 
   934
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   936
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   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
 
\isamarkupsubsection{Postfix order on lists%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
}
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   942
 
\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 
   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
 
\ \ postfix\ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharprime}a\ list\ {\isacharequal}{\isachargreater}\ {\isacharprime}a\ list\ {\isacharequal}{\isachargreater}\ bool{\isachardoublequoteclose}\ \ {\isacharparenleft}{\isachardoublequoteopen}{\isacharparenleft}{\isacharunderscore}{\isacharslash}\ {\isachargreater}{\isachargreater}{\isacharequal}\ {\isacharunderscore}{\isacharparenright}{\isachardoublequoteclose}\ {\isacharbrackleft}{\isadigit{5}}{\isadigit{1}}{\isacharcomma}\ {\isadigit{5}}{\isadigit{0}}{\isacharbrackright}\ {\isadigit{5}}{\isadigit{0}}{\isacharparenright}\ \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 
   945
 
\ \ {\isachardoublequoteopen}{\isacharparenleft}xs\ {\isachargreater}{\isachargreater}{\isacharequal}\ ys{\isacharparenright}\ {\isacharequal}\ {\isacharparenleft}{\isasymexists}zs{\isachardot}\ xs\ {\isacharequal}\ zs\ {\isacharat}\ ys{\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 
   946
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   948
 
\ postfixI\ {\isacharbrackleft}intro{\isacharquery}{\isacharbrackright}{\isacharcolon}\ {\isachardoublequoteopen}xs\ {\isacharequal}\ zs\ {\isacharat}\ ys\ {\isacharequal}{\isacharequal}{\isachargreater}\ xs\ {\isachargreater}{\isachargreater}{\isacharequal}\ ys{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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{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 
   956
 
\ postfix{\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 
   957
 
\ blast%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   959
 
{\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 
   960
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   962
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   965
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   967
 
\ postfixE\ {\isacharbrackleft}elim{\isacharquery}{\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 
   968
 
\ \ \isakeyword{assumes}\ {\isachardoublequoteopen}xs\ {\isachargreater}{\isachargreater}{\isacharequal}\ ys{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ \isakeyword{obtains}\ zs\ \isakeyword{where}\ {\isachardoublequoteopen}xs\ {\isacharequal}\ zs\ {\isacharat}\ ys{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   972
 
\ \ %
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   974
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   976
 
\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 
   977
 
\ assms\ \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 
   978
 
\ postfix{\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 
   979
 
\ blast%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   981
 
{\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 
   982
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   987
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   989
 
\ postfix{\isacharunderscore}refl\ {\isacharbrackleft}iff{\isacharbrackright}{\isacharcolon}\ {\isachardoublequoteopen}xs\ {\isachargreater}{\isachargreater}{\isacharequal}\ xs{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   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
 
\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 
   994
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
   996
 
\isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ {\isacharparenleft}auto\ simp\ add{\isacharcolon}\ postfix{\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 
   998
 
\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 
   999
 
{\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 
  1000
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1002
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1005
 
\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 
  1006
 
\ postfix{\isacharunderscore}trans{\isacharcolon}\ {\isachardoublequoteopen}{\isasymlbrakk}xs\ {\isachargreater}{\isachargreater}{\isacharequal}\ ys{\isacharsemicolon}\ ys\ {\isachargreater}{\isachargreater}{\isacharequal}\ zs{\isasymrbrakk}\ {\isasymLongrightarrow}\ xs\ {\isachargreater}{\isachargreater}{\isacharequal}\ zs{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1009
 
\ \ %
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1011
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1013
 
\isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ {\isacharparenleft}auto\ simp\ add{\isacharcolon}\ postfix{\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 
  1015
 
\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 
  1016
 
{\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 
  1017
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1019
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1022
 
\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 
  1023
 
\ postfix{\isacharunderscore}antisym{\isacharcolon}\ {\isachardoublequoteopen}{\isasymlbrakk}xs\ {\isachargreater}{\isachargreater}{\isacharequal}\ ys{\isacharsemicolon}\ ys\ {\isachargreater}{\isachargreater}{\isacharequal}\ xs{\isasymrbrakk}\ {\isasymLongrightarrow}\ xs\ {\isacharequal}\ ys{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1026
 
\ \ %
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1028
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1030
 
\isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ {\isacharparenleft}auto\ simp\ add{\isacharcolon}\ postfix{\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 
  1032
 
\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 
  1033
 
{\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 
  1034
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1036
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1039
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1041
 
\ Nil{\isacharunderscore}postfix\ {\isacharbrackleft}iff{\isacharbrackright}{\isacharcolon}\ {\isachardoublequoteopen}xs\ {\isachargreater}{\isachargreater}{\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 
  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{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ {\isacharparenleft}simp\ add{\isacharcolon}\ postfix{\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 
  1050
 
\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 
  1051
 
{\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 
  1052
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1054
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1057
 
\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 
  1058
 
\ postfix{\isacharunderscore}Nil\ {\isacharbrackleft}simp{\isacharbrackright}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}{\isacharbrackleft}{\isacharbrackright}\ {\isachargreater}{\isachargreater}{\isacharequal}\ xs{\isacharparenright}\ {\isacharequal}\ {\isacharparenleft}xs\ {\isacharequal}\ {\isacharbrackleft}{\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 
  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
 
\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 
  1061
 
\ \ %
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1063
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1065
 
\isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ {\isacharparenleft}auto\ simp\ add{\isacharcolon}\ postfix{\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 
  1067
 
\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 
  1068
 
{\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 
  1069
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1071
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1074
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1076
 
\ postfix{\isacharunderscore}ConsI{\isacharcolon}\ {\isachardoublequoteopen}xs\ {\isachargreater}{\isachargreater}{\isacharequal}\ ys\ {\isasymLongrightarrow}\ x{\isacharhash}xs\ {\isachargreater}{\isachargreater}{\isacharequal}\ ys{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1079
 
\ \ %
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1081
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1083
 
\isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ {\isacharparenleft}auto\ simp\ add{\isacharcolon}\ postfix{\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 
  1085
 
\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 
  1086
 
{\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 
  1087
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1089
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1092
 
\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 
  1093
 
\ postfix{\isacharunderscore}ConsD{\isacharcolon}\ {\isachardoublequoteopen}xs\ {\isachargreater}{\isachargreater}{\isacharequal}\ y{\isacharhash}ys\ {\isasymLongrightarrow}\ xs\ {\isachargreater}{\isachargreater}{\isacharequal}\ ys{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  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
 
\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 
  1098
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1100
 
\isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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\ add{\isacharcolon}\ postfix{\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 
  1102
 
\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 
  1103
 
{\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 
  1104
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1106
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1109
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1111
 
\ postfix{\isacharunderscore}appendI{\isacharcolon}\ {\isachardoublequoteopen}xs\ {\isachargreater}{\isachargreater}{\isacharequal}\ ys\ {\isasymLongrightarrow}\ zs\ {\isacharat}\ xs\ {\isachargreater}{\isachargreater}{\isacharequal}\ ys{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1114
 
\ \ %
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1116
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1118
 
\isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ {\isacharparenleft}auto\ simp\ add{\isacharcolon}\ postfix{\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 
  1120
 
\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 
  1121
 
{\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 
  1122
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1124
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1127
 
\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 
  1128
 
\ postfix{\isacharunderscore}appendD{\isacharcolon}\ {\isachardoublequoteopen}xs\ {\isachargreater}{\isachargreater}{\isacharequal}\ zs\ {\isacharat}\ ys\ {\isasymLongrightarrow}\ xs\ {\isachargreater}{\isachargreater}{\isacharequal}\ ys{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1131
 
\ \ %
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1133
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1135
 
\isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ {\isacharparenleft}auto\ simp\ add{\isacharcolon}\ postfix{\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 
  1137
 
\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 
  1138
 
{\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 
  1139
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1141
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1144
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1146
 
\ postfix{\isacharunderscore}is{\isacharunderscore}subset{\isacharcolon}\ {\isachardoublequoteopen}xs\ {\isachargreater}{\isachargreater}{\isacharequal}\ ys\ {\isacharequal}{\isacharequal}{\isachargreater}\ set\ ys\ {\isasymsubseteq}\ set\ xs{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1149
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1151
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1153
 
\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 
  1154
 
\ {\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 
  1155
 
\ \ \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 
  1156
 
\ {\isachardoublequoteopen}xs\ {\isachargreater}{\isachargreater}{\isacharequal}\ ys{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ \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 
  1158
 
\ \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 
  1159
 
\ zs\ \isakeyword{where}\ {\isachardoublequoteopen}xs\ {\isacharequal}\ zs\ {\isacharat}\ ys{\isachardoublequoteclose}\ \isacommand{{\isachardot}{\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 
  1160
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ \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 
  1162
 
\ \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 
  1163
 
\ {\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 
  1164
 
\ {\isacharparenleft}induct\ zs{\isacharparenright}\ 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 
  1165
 
\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 
  1166
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ postfix{\isacharunderscore}ConsD{\isadigit{2}}{\isacharcolon}\ {\isachardoublequoteopen}x{\isacharhash}xs\ {\isachargreater}{\isachargreater}{\isacharequal}\ y{\isacharhash}ys\ {\isacharequal}{\isacharequal}{\isachargreater}\ xs\ {\isachargreater}{\isachargreater}{\isacharequal}\ ys{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1179
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1181
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1183
 
\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 
  1184
 
\ {\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 
  1185
 
\ \ \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 
  1186
 
\ {\isachardoublequoteopen}x{\isacharhash}xs\ {\isachargreater}{\isachargreater}{\isacharequal}\ y{\isacharhash}ys{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ \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 
  1188
 
\ \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 
  1189
 
\ zs\ \isakeyword{where}\ {\isachardoublequoteopen}x{\isacharhash}xs\ {\isacharequal}\ zs\ {\isacharat}\ y{\isacharhash}ys{\isachardoublequoteclose}\ \isacommand{{\isachardot}{\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 
  1190
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ \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 
  1192
 
\ \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 
  1193
 
\ {\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 
  1194
 
\ \ \ \ \isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ {\isacharparenleft}induct\ zs{\isacharparenright}\ {\isacharparenleft}auto\ intro{\isacharbang}{\isacharcolon}\ postfix{\isacharunderscore}appendI\ postfix{\isacharunderscore}ConsI{\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 
  1196
 
\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 
  1197
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1199
 
{\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 
  1200
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1202
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1205
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1207
 
\ postfix{\isacharunderscore}to{\isacharunderscore}prefix{\isacharcolon}\ {\isachardoublequoteopen}xs\ {\isachargreater}{\isachargreater}{\isacharequal}\ ys\ {\isasymlongleftrightarrow}\ rev\ ys\ {\isasymle}\ rev\ xs{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1210
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1212
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1214
 
\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 
  1215
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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{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 
  1217
 
\ {\isachardoublequoteopen}xs\ {\isachargreater}{\isachargreater}{\isacharequal}\ ys{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ \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 
  1219
 
\ \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 
  1220
 
\ zs\ \isakeyword{where}\ {\isachardoublequoteopen}xs\ {\isacharequal}\ zs\ {\isacharat}\ ys{\isachardoublequoteclose}\ \isacommand{{\isachardot}{\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 
  1221
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ \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 
  1223
 
\ \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 
  1224
 
\ {\isachardoublequoteopen}rev\ xs\ {\isacharequal}\ rev\ ys\ {\isacharat}\ rev\ zs{\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 
  1225
 
\ 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 
  1226
 
\ \ \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 
  1227
 
\ \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 
  1228
 
\ {\isachardoublequoteopen}rev\ ys\ {\isacharless}{\isacharequal}\ rev\ xs{\isachardoublequoteclose}\ \isacommand{{\isachardot}{\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 
  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
 
\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 
  1231
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ \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 
  1233
 
\ {\isachardoublequoteopen}rev\ ys\ {\isacharless}{\isacharequal}\ rev\ xs{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ \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 
  1235
 
\ \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 
  1236
 
\ zs\ \isakeyword{where}\ {\isachardoublequoteopen}rev\ xs\ {\isacharequal}\ rev\ ys\ {\isacharat}\ zs{\isachardoublequoteclose}\ \isacommand{{\isachardot}{\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 
  1237
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ \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 
  1239
 
\ \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 
  1240
 
\ {\isachardoublequoteopen}rev\ {\isacharparenleft}rev\ xs{\isacharparenright}\ {\isacharequal}\ rev\ zs\ {\isacharat}\ rev\ {\isacharparenleft}rev\ ys{\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 
  1241
 
\ 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 
  1242
 
\ \ \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 
  1243
 
\ \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 
  1244
 
\ {\isachardoublequoteopen}xs\ {\isacharequal}\ rev\ zs\ {\isacharat}\ ys{\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 
  1245
 
\ 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 
  1246
 
\ \ \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 
  1247
 
\ \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 
  1248
 
\ {\isachardoublequoteopen}xs\ {\isachargreater}{\isachargreater}{\isacharequal}\ ys{\isachardoublequoteclose}\ \isacommand{{\isachardot}{\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 
  1249
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1251
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1253
 
{\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 
  1254
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1256
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1259
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1261
 
\ distinct{\isacharunderscore}postfix{\isacharcolon}\ {\isachardoublequoteopen}distinct\ xs\ {\isasymLongrightarrow}\ xs\ {\isachargreater}{\isachargreater}{\isacharequal}\ ys\ {\isasymLongrightarrow}\ distinct\ ys{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1264
 
\ \ %
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1266
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1268
 
\isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ {\isacharparenleft}clarsimp\ elim{\isacharbang}{\isacharcolon}\ postfixE{\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 
  1270
 
\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 
  1271
 
{\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 
  1272
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1274
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1277
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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{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 
  1279
 
\ postfix{\isacharunderscore}map{\isacharcolon}\ {\isachardoublequoteopen}xs\ {\isachargreater}{\isachargreater}{\isacharequal}\ ys\ {\isasymLongrightarrow}\ map\ f\ xs\ {\isachargreater}{\isachargreater}{\isacharequal}\ map\ f\ ys{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1282
 
\ \ %
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1284
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1286
 
\isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ {\isacharparenleft}auto\ elim{\isacharbang}{\isacharcolon}\ postfixE\ intro{\isacharcolon}\ postfixI{\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 
  1288
 
\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 
  1289
 
{\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 
  1290
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1292
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1295
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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{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 
  1297
 
\ postfix{\isacharunderscore}drop{\isacharcolon}\ {\isachardoublequoteopen}as\ {\isachargreater}{\isachargreater}{\isacharequal}\ drop\ n\ as{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1300
 
\ \ %
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1302
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1304
 
\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 
  1305
 
\ postfix{\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 
  1306
 
\ \ \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 
  1307
 
\ {\isacharparenleft}rule\ exI\ {\isacharbrackleft}\isakeyword{where}\ x\ {\isacharequal}\ {\isachardoublequoteopen}take\ n\ as{\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 
  1308
 
\ \ \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 
  1309
 
\ 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 
  1310
 
\ \ \isacommand{done}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1313
 
{\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 
  1314
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1316
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1319
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1321
 
\ postfix{\isacharunderscore}take{\isacharcolon}\ {\isachardoublequoteopen}xs\ {\isachargreater}{\isachargreater}{\isacharequal}\ ys\ {\isasymLongrightarrow}\ xs\ {\isacharequal}\ take\ {\isacharparenleft}length\ xs\ {\isacharminus}\ length\ ys{\isacharparenright}\ xs\ {\isacharat}\ ys{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1324
 
\ \ %
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1326
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1328
 
\isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ {\isacharparenleft}clarsimp\ elim{\isacharbang}{\isacharcolon}\ postfixE{\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 
  1330
 
\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 
  1331
 
{\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 
  1332
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1334
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1337
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1339
 
\ parallelD{\isadigit{1}}{\isacharcolon}\ {\isachardoublequoteopen}x\ {\isasymparallel}\ y\ {\isasymLongrightarrow}\ {\isasymnot}\ x\ {\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 
  1340
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1342
 
\ \ %
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1344
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  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
 
\ blast%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1349
 
{\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 
  1350
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1352
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1355
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1357
 
\ parallelD{\isadigit{2}}{\isacharcolon}\ {\isachardoublequoteopen}x\ {\isasymparallel}\ y\ {\isasymLongrightarrow}\ {\isasymnot}\ y\ {\isasymle}\ 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 
  1358
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1360
 
\ \ %
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1362
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1364
 
\isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ blast%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1367
 
{\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 
  1368
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1370
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1373
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1375
 
\ parallel{\isacharunderscore}Nil{\isadigit{1}}\ {\isacharbrackleft}simp{\isacharbrackright}{\isacharcolon}\ {\isachardoublequoteopen}{\isasymnot}\ x\ {\isasymparallel}\ {\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 
  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{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 
  1383
 
\ parallel{\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 
  1384
 
\ 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 
  1385
 
\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 
  1386
 
{\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 
  1387
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1389
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1392
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1394
 
\ parallel{\isacharunderscore}Nil{\isadigit{2}}\ {\isacharbrackleft}simp{\isacharbrackright}{\isacharcolon}\ {\isachardoublequoteopen}{\isasymnot}\ {\isacharbrackleft}{\isacharbrackright}\ {\isasymparallel}\ 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 
  1395
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1397
 
\ \ %
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1399
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1401
 
\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 
  1402
 
\ parallel{\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 
  1403
 
\ 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 
  1404
 
\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 
  1405
 
{\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 
  1406
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1408
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1411
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1413
 
\ Cons{\isacharunderscore}parallelI{\isadigit{1}}{\isacharcolon}\ {\isachardoublequoteopen}a\ {\isasymnoteq}\ b\ {\isasymLongrightarrow}\ a\ {\isacharhash}\ as\ {\isasymparallel}\ b\ {\isacharhash}\ bs{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1416
 
\ \ %
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1418
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  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
 
\ 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 
  1422
 
\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 
  1423
 
{\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 
  1424
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1426
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1429
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1431
 
\ Cons{\isacharunderscore}parallelI{\isadigit{2}}{\isacharcolon}\ {\isachardoublequoteopen}{\isasymlbrakk}\ a\ {\isacharequal}\ b{\isacharsemicolon}\ as\ {\isasymparallel}\ bs\ {\isasymrbrakk}\ {\isasymLongrightarrow}\ a\ {\isacharhash}\ as\ {\isasymparallel}\ b\ {\isacharhash}\ bs{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  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
 
\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 
  1436
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1438
 
\isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ {\isacharparenleft}metis\ Cons{\isacharunderscore}prefix{\isacharunderscore}Cons\ parallelE\ parallelI{\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 
  1440
 
\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 
  1441
 
{\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 
  1442
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1444
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1447
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1449
 
\ not{\isacharunderscore}equal{\isacharunderscore}is{\isacharunderscore}parallel{\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 
  1450
 
\ \ \isakeyword{assumes}\ neq{\isacharcolon}\ {\isachardoublequoteopen}xs\ {\isasymnoteq}\ ys{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ \ \ \isakeyword{and}\ len{\isacharcolon}\ {\isachardoublequoteopen}length\ xs\ {\isacharequal}\ length\ ys{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ \isakeyword{shows}\ {\isachardoublequoteopen}xs\ {\isasymparallel}\ ys{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1455
 
\ \ %
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1457
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1459
 
\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 
  1460
 
\ len\ neq\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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{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 
  1462
 
\ {\isacharparenleft}induct\ rule{\isacharcolon}\ list{\isacharunderscore}induct{\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 
  1463
 
\ \ \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 
  1464
 
\ Nil\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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{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 
  1466
 
\ \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 
  1467
 
\ {\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 
  1468
 
\ 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 
  1469
 
\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 
  1470
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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{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 
  1472
 
\ {\isacharparenleft}Cons\ a\ as\ b\ bs{\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 
  1473
 
\ \ \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 
  1474
 
\ ih{\isacharcolon}\ {\isachardoublequoteopen}as\ {\isasymnoteq}\ bs\ {\isasymLongrightarrow}\ as\ {\isasymparallel}\ bs{\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 
  1475
 
\ fact\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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{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 
  1477
 
\ {\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 
  1478
 
\ \ \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 
  1479
 
\ {\isacharparenleft}cases\ {\isachardoublequoteopen}a\ {\isacharequal}\ 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 
  1480
 
\ \ \ \ \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 
  1481
 
\ 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 
  1482
 
\ \ \ \ \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 
  1483
 
\ \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 
  1484
 
\ {\isachardoublequoteopen}as\ {\isasymnoteq}\ bs{\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 
  1485
 
\ Cons\ \isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ 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 
  1487
 
\ \ \ \ \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 
  1488
 
\ \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 
  1489
 
\ {\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 
  1490
 
\ {\isacharparenleft}rule\ Cons{\isacharunderscore}parallelI{\isadigit{2}}\ {\isacharbrackleft}OF\ True\ ih{\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 
  1491
 
\ \ \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 
  1492
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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{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 
  1494
 
\ 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 
  1495
 
\ \ \ \ \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 
  1496
 
\ \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 
  1497
 
\ {\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 
  1498
 
\ {\isacharparenleft}rule\ Cons{\isacharunderscore}parallelI{\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 
  1499
 
\ \ \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 
  1500
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1502
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1504
 
{\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 
  1505
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\isamarkupsubsection{Executable code%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
}
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1513
 
\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 
  1514
 
\ less{\isacharunderscore}eq{\isacharunderscore}code\ {\isacharbrackleft}code{\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 
  1515
 
\ \ \ \ {\isachardoublequoteopen}{\isacharparenleft}{\isacharbrackleft}{\isacharbrackright}{\isasymColon}{\isacharprime}a{\isasymColon}{\isacharbraceleft}eq{\isacharcomma}\ ord{\isacharbraceright}\ list{\isacharparenright}\ {\isasymle}\ xs\ {\isasymlongleftrightarrow}\ True{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ \ \ {\isachardoublequoteopen}{\isacharparenleft}x{\isasymColon}{\isacharprime}a{\isasymColon}{\isacharbraceleft}eq{\isacharcomma}\ ord{\isacharbraceright}{\isacharparenright}\ {\isacharhash}\ xs\ {\isasymle}\ {\isacharbrackleft}{\isacharbrackright}\ {\isasymlongleftrightarrow}\ 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 
  1517
 
\ \ \ \ {\isachardoublequoteopen}{\isacharparenleft}x{\isasymColon}{\isacharprime}a{\isasymColon}{\isacharbraceleft}eq{\isacharcomma}\ ord{\isacharbraceright}{\isacharparenright}\ {\isacharhash}\ xs\ {\isasymle}\ y\ {\isacharhash}\ ys\ {\isasymlongleftrightarrow}\ x\ {\isacharequal}\ y\ {\isasymand}\ xs\ {\isasymle}\ ys{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1520
 
\ \ %
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1522
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1524
 
\isacommand{by}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ simp{\isacharunderscore}all%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1527
 
{\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 
  1528
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1530
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1533
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1535
 
\ less{\isacharunderscore}code\ {\isacharbrackleft}code{\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 
  1536
 
\ \ \ \ {\isachardoublequoteopen}xs\ {\isacharless}\ {\isacharparenleft}{\isacharbrackleft}{\isacharbrackright}{\isasymColon}{\isacharprime}a{\isasymColon}{\isacharbraceleft}eq{\isacharcomma}\ ord{\isacharbraceright}\ list{\isacharparenright}\ {\isasymlongleftrightarrow}\ 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 
  1537
 
\ \ \ \ {\isachardoublequoteopen}{\isacharbrackleft}{\isacharbrackright}\ {\isacharless}\ {\isacharparenleft}x{\isasymColon}{\isacharprime}a{\isasymColon}{\isacharbraceleft}eq{\isacharcomma}\ ord{\isacharbraceright}{\isacharparenright}{\isacharhash}\ xs\ {\isasymlongleftrightarrow}\ True{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ \ \ \ {\isachardoublequoteopen}{\isacharparenleft}x{\isasymColon}{\isacharprime}a{\isasymColon}{\isacharbraceleft}eq{\isacharcomma}\ ord{\isacharbraceright}{\isacharparenright}\ {\isacharhash}\ xs\ {\isacharless}\ y\ {\isacharhash}\ ys\ {\isasymlongleftrightarrow}\ x\ {\isacharequal}\ y\ {\isasymand}\ xs\ {\isacharless}\ ys{\isachardoublequoteclose}\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1541
 
\ \ %
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1543
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1545
 
\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 
  1546
 
\ strict{\isacharunderscore}prefix{\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 
  1547
 
\ 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 
  1548
 
\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 
  1549
 
{\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 
  1550
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1552
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\isacommand{lemmas}\isamarkupfalse%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\ {\isacharbrackleft}code{\isacharbrackright}\ {\isacharequal}\ postfix{\isacharunderscore}to{\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 
  1558
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1560
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  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
 
\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 
  1565
 
\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 
  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
 
\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 
  1568
 
{\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 
  1569
 
%
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1571
 
\isanewline
f5db9e08effc Directory [tphols-2011] is added to host the commented version of [Myhill.thy]. Directory [pres] 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
 
\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 
  1574
 
\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 
  1575
 
%%% 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 
  1576
 
%%% 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 
  1577
 
%%% 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 
  1578
 
%%% End:
regexp