| author | Christian Urban <urbanc@in.tum.de> |
| Wed, 23 Dec 2009 22:42:30 +0100 | |
| changeset 783 | 06e17083e90b |
| parent 780 | a24e26f5488c |
| child 786 | d6407afb913c |
| permissions | -rw-r--r-- |
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779
3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
|
1 |
theory AbsRepTest |
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
|
2 |
imports "../QuotMain" "../QuotList" "../QuotOption" "../QuotSum" "../QuotProd" List |
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
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begin |
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
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4 |
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
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5 |
quotient_type |
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
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fset = "'a list" / "\<lambda>(xs::'a list) ys. \<forall>e. e \<in> set xs \<longleftrightarrow> e \<in> set ys" |
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
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7 |
apply(rule equivpI) |
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
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8 |
unfolding reflp_def symp_def transp_def |
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
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apply(auto) |
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
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10 |
done |
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
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11 |
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783
06e17083e90b
modified mk_resp_arg so that the user can give terms as equivalence relations, not just constants
Christian Urban <urbanc@in.tum.de>
parents:
780
diff
changeset
|
12 |
print_quotients |
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06e17083e90b
modified mk_resp_arg so that the user can give terms as equivalence relations, not just constants
Christian Urban <urbanc@in.tum.de>
parents:
780
diff
changeset
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13 |
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06e17083e90b
modified mk_resp_arg so that the user can give terms as equivalence relations, not just constants
Christian Urban <urbanc@in.tum.de>
parents:
780
diff
changeset
|
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ML{*
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06e17083e90b
modified mk_resp_arg so that the user can give terms as equivalence relations, not just constants
Christian Urban <urbanc@in.tum.de>
parents:
780
diff
changeset
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Quotient_Info.quotient_rules_get @{context}
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06e17083e90b
modified mk_resp_arg so that the user can give terms as equivalence relations, not just constants
Christian Urban <urbanc@in.tum.de>
parents:
780
diff
changeset
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16 |
*} |
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06e17083e90b
modified mk_resp_arg so that the user can give terms as equivalence relations, not just constants
Christian Urban <urbanc@in.tum.de>
parents:
780
diff
changeset
|
17 |
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779
3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
|
18 |
fun |
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
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intrel :: "(nat \<times> nat) \<Rightarrow> (nat \<times> nat) \<Rightarrow> bool" |
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
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20 |
where |
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
|
21 |
"intrel (x, y) (u, v) = (x + v = u + y)" |
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
|
22 |
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
|
23 |
quotient_type int = "nat \<times> nat" / intrel |
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
|
24 |
sorry |
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
|
25 |
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783
06e17083e90b
modified mk_resp_arg so that the user can give terms as equivalence relations, not just constants
Christian Urban <urbanc@in.tum.de>
parents:
780
diff
changeset
|
26 |
print_quotients |
|
06e17083e90b
modified mk_resp_arg so that the user can give terms as equivalence relations, not just constants
Christian Urban <urbanc@in.tum.de>
parents:
780
diff
changeset
|
27 |
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779
3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
|
28 |
ML {*
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
|
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open Quotient_Term; |
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
|
30 |
*} |
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
|
31 |
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
|
32 |
ML {*
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
|
33 |
absrep_fun_chk absF @{context} (@{typ "(((nat * nat) list) * 'a) option"}, @{typ "((int fset) * 'a) option"})
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
|
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|> Syntax.string_of_term @{context}
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
|
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|> writeln |
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
|
36 |
*} |
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
|
37 |
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
|
38 |
term "option_map (prod_fun (abs_fset \<circ> map abs_int) id)" |
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
|
39 |
term "option_map (prod_fun (map rep_int \<circ> rep_fset) id)" |
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
|
40 |
term "option_map (map rep_int \<circ> rep_fset)" |
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
|
41 |
term "option_map (abs_fset o (map abs_int))" |
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
|
42 |
term "abs_fset" |
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
|
43 |
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
|
44 |
ML {*
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
|
45 |
absrep_fun_chk absF @{context} (@{typ "(nat * nat) list"}, @{typ "int fset"})
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
|
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|> Syntax.string_of_term @{context}
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
|
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|> writeln |
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
|
48 |
*} |
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
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49 |
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
|
50 |
term "map abs_int" |
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
|
51 |
term "abs_fset o map abs_int" |
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
|
52 |
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
|
53 |
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
|
54 |
ML {*
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
|
55 |
absrep_fun_chk absF @{context} (@{typ "('a list) list"}, @{typ "('a fset) fset"})
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
|
56 |
|> Syntax.string_of_term @{context}
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
|
57 |
|> writeln |
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
|
58 |
*} |
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
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59 |
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
|
60 |
ML {*
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
|
61 |
absrep_fun_chk absF @{context} (@{typ "('a list) list \<Rightarrow> 'a"}, @{typ "('a fset) fset \<Rightarrow> 'a"})
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
|
62 |
|> Syntax.string_of_term @{context}
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
|
63 |
|> writeln |
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
|
64 |
*} |
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
|
65 |
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
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66 |
end |