| author | Christian Urban <urbanc@in.tum.de> |
| Thu, 24 Dec 2009 22:28:19 +0100 | |
| changeset 787 | 5cf83fa5b36c |
| parent 786 | d6407afb913c |
| child 790 | 3a48ffcf0f9a |
| 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
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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
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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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3 |
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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786
d6407afb913c
used Local_Theory.declaration for storing quotdata
Christian Urban <urbanc@in.tum.de>
parents:
783
diff
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5 |
print_maps |
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d6407afb913c
used Local_Theory.declaration for storing quotdata
Christian Urban <urbanc@in.tum.de>
parents:
783
diff
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6 |
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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
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7 |
quotient_type |
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787
5cf83fa5b36c
made the quotient_type definition more like typedef; now type variables need to be explicitly given
Christian Urban <urbanc@in.tum.de>
parents:
786
diff
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'a fset = "'a list" / "\<lambda>xs ys. \<forall>e. e \<in> set xs \<longleftrightarrow> e \<in> set ys" |
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5cf83fa5b36c
made the quotient_type definition more like typedef; now type variables need to be explicitly given
Christian Urban <urbanc@in.tum.de>
parents:
786
diff
changeset
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9 |
apply(rule equivpI) |
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5cf83fa5b36c
made the quotient_type definition more like typedef; now type variables need to be explicitly given
Christian Urban <urbanc@in.tum.de>
parents:
786
diff
changeset
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unfolding reflp_def symp_def transp_def |
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5cf83fa5b36c
made the quotient_type definition more like typedef; now type variables need to be explicitly given
Christian Urban <urbanc@in.tum.de>
parents:
786
diff
changeset
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11 |
apply(auto) |
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5cf83fa5b36c
made the quotient_type definition more like typedef; now type variables need to be explicitly given
Christian Urban <urbanc@in.tum.de>
parents:
786
diff
changeset
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done |
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5cf83fa5b36c
made the quotient_type definition more like typedef; now type variables need to be explicitly given
Christian Urban <urbanc@in.tum.de>
parents:
786
diff
changeset
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13 |
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5cf83fa5b36c
made the quotient_type definition more like typedef; now type variables need to be explicitly given
Christian Urban <urbanc@in.tum.de>
parents:
786
diff
changeset
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14 |
quotient_type |
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5cf83fa5b36c
made the quotient_type definition more like typedef; now type variables need to be explicitly given
Christian Urban <urbanc@in.tum.de>
parents:
786
diff
changeset
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'a foo = "('a * 'a) list" / "\<lambda>(xs::('a * 'a) list) ys. \<forall>e. e \<in> set xs \<longleftrightarrow> e \<in> set ys"
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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
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16 |
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
|
17 |
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
|
18 |
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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19 |
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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20 |
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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
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21 |
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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22 |
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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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23 |
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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25 |
*} |
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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
|
26 |
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787
5cf83fa5b36c
made the quotient_type definition more like typedef; now type variables need to be explicitly given
Christian Urban <urbanc@in.tum.de>
parents:
786
diff
changeset
|
27 |
quotient_type int = "nat \<times> nat" / "\<lambda>(x, y) (u, v). x + v = u + (y::nat)" |
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5cf83fa5b36c
made the quotient_type definition more like typedef; now type variables need to be explicitly given
Christian Urban <urbanc@in.tum.de>
parents:
786
diff
changeset
|
28 |
apply(rule equivpI) |
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5cf83fa5b36c
made the quotient_type definition more like typedef; now type variables need to be explicitly given
Christian Urban <urbanc@in.tum.de>
parents:
786
diff
changeset
|
29 |
unfolding reflp_def symp_def transp_def |
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5cf83fa5b36c
made the quotient_type definition more like typedef; now type variables need to be explicitly given
Christian Urban <urbanc@in.tum.de>
parents:
786
diff
changeset
|
30 |
apply(auto) |
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5cf83fa5b36c
made the quotient_type definition more like typedef; now type variables need to be explicitly given
Christian Urban <urbanc@in.tum.de>
parents:
786
diff
changeset
|
31 |
done |
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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
|
32 |
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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
|
33 |
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
|
34 |
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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
|
35 |
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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36 |
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
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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
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38 |
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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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39 |
ML {*
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787
5cf83fa5b36c
made the quotient_type definition more like typedef; now type variables need to be explicitly given
Christian Urban <urbanc@in.tum.de>
parents:
786
diff
changeset
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absrep_fun_chk absF @{context}
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5cf83fa5b36c
made the quotient_type definition more like typedef; now type variables need to be explicitly given
Christian Urban <urbanc@in.tum.de>
parents:
786
diff
changeset
|
41 |
(@{typ "(('a * 'a) list) list"},
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5cf83fa5b36c
made the quotient_type definition more like typedef; now type variables need to be explicitly given
Christian Urban <urbanc@in.tum.de>
parents:
786
diff
changeset
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@{typ "(('a * 'a) fset) fset"})
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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
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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
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45 |
*} |
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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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46 |
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787
5cf83fa5b36c
made the quotient_type definition more like typedef; now type variables need to be explicitly given
Christian Urban <urbanc@in.tum.de>
parents:
786
diff
changeset
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47 |
(* |
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5cf83fa5b36c
made the quotient_type definition more like typedef; now type variables need to be explicitly given
Christian Urban <urbanc@in.tum.de>
parents:
786
diff
changeset
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48 |
ML {*
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5cf83fa5b36c
made the quotient_type definition more like typedef; now type variables need to be explicitly given
Christian Urban <urbanc@in.tum.de>
parents:
786
diff
changeset
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absrep_fun_chk absF @{context}
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5cf83fa5b36c
made the quotient_type definition more like typedef; now type variables need to be explicitly given
Christian Urban <urbanc@in.tum.de>
parents:
786
diff
changeset
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50 |
(@{typ "('a * 'a) list"},
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5cf83fa5b36c
made the quotient_type definition more like typedef; now type variables need to be explicitly given
Christian Urban <urbanc@in.tum.de>
parents:
786
diff
changeset
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@{typ "'a foo"})
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5cf83fa5b36c
made the quotient_type definition more like typedef; now type variables need to be explicitly given
Christian Urban <urbanc@in.tum.de>
parents:
786
diff
changeset
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|> Syntax.string_of_term @{context}
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5cf83fa5b36c
made the quotient_type definition more like typedef; now type variables need to be explicitly given
Christian Urban <urbanc@in.tum.de>
parents:
786
diff
changeset
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|> writeln |
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5cf83fa5b36c
made the quotient_type definition more like typedef; now type variables need to be explicitly given
Christian Urban <urbanc@in.tum.de>
parents:
786
diff
changeset
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54 |
*} |
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5cf83fa5b36c
made the quotient_type definition more like typedef; now type variables need to be explicitly given
Christian Urban <urbanc@in.tum.de>
parents:
786
diff
changeset
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55 |
*) |
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5cf83fa5b36c
made the quotient_type definition more like typedef; now type variables need to be explicitly given
Christian Urban <urbanc@in.tum.de>
parents:
786
diff
changeset
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56 |
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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
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57 |
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
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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
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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
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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
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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
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62 |
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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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63 |
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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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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66 |
|> 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
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67 |
*} |
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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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68 |
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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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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
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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
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71 |
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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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72 |
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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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73 |
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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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
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75 |
|> 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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76 |
|> 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
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*} |
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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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78 |
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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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79 |
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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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
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81 |
|> 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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82 |
|> 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
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83 |
*} |
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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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84 |
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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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85 |
end |