| author | wenzelm | 
| Sun, 27 Aug 2023 17:00:03 +0200 | |
| changeset 78588 | d0053e582dd9 | 
| parent 69593 | 3dda49e08b9d | 
| child 78800 | 0b3700d31758 | 
| permissions | -rw-r--r-- | 
| 
63793
 
e68a0b651eb5
add_mset constructor in multisets
 
fleury <Mathias.Fleury@mpi-inf.mpg.de> 
parents:  
diff
changeset
 | 
1  | 
(* Author: Mathias Fleury, MPII  | 
| 
 
e68a0b651eb5
add_mset constructor in multisets
 
fleury <Mathias.Fleury@mpi-inf.mpg.de> 
parents:  
diff
changeset
 | 
2  | 
|
| 
 
e68a0b651eb5
add_mset constructor in multisets
 
fleury <Mathias.Fleury@mpi-inf.mpg.de> 
parents:  
diff
changeset
 | 
3  | 
|
| 
 
e68a0b651eb5
add_mset constructor in multisets
 
fleury <Mathias.Fleury@mpi-inf.mpg.de> 
parents:  
diff
changeset
 | 
4  | 
Simprocs for multisets, based on Larry Paulson's simprocs for  | 
| 
 
e68a0b651eb5
add_mset constructor in multisets
 
fleury <Mathias.Fleury@mpi-inf.mpg.de> 
parents:  
diff
changeset
 | 
5  | 
natural numbers and numerals.  | 
| 
 
e68a0b651eb5
add_mset constructor in multisets
 
fleury <Mathias.Fleury@mpi-inf.mpg.de> 
parents:  
diff
changeset
 | 
6  | 
*)  | 
| 
 
e68a0b651eb5
add_mset constructor in multisets
 
fleury <Mathias.Fleury@mpi-inf.mpg.de> 
parents:  
diff
changeset
 | 
7  | 
|
| 
 
e68a0b651eb5
add_mset constructor in multisets
 
fleury <Mathias.Fleury@mpi-inf.mpg.de> 
parents:  
diff
changeset
 | 
8  | 
signature MULTISET_SIMPROCS =  | 
| 
 
e68a0b651eb5
add_mset constructor in multisets
 
fleury <Mathias.Fleury@mpi-inf.mpg.de> 
parents:  
diff
changeset
 | 
9  | 
sig  | 
| 
 
e68a0b651eb5
add_mset constructor in multisets
 
fleury <Mathias.Fleury@mpi-inf.mpg.de> 
parents:  
diff
changeset
 | 
10  | 
val subset_cancel_msets: Proof.context -> cterm -> thm option  | 
| 
 
e68a0b651eb5
add_mset constructor in multisets
 
fleury <Mathias.Fleury@mpi-inf.mpg.de> 
parents:  
diff
changeset
 | 
11  | 
val subseteq_cancel_msets: Proof.context -> cterm -> thm option  | 
| 
 
e68a0b651eb5
add_mset constructor in multisets
 
fleury <Mathias.Fleury@mpi-inf.mpg.de> 
parents:  
diff
changeset
 | 
12  | 
end;  | 
| 
 
e68a0b651eb5
add_mset constructor in multisets
 
fleury <Mathias.Fleury@mpi-inf.mpg.de> 
parents:  
diff
changeset
 | 
13  | 
|
| 
 
e68a0b651eb5
add_mset constructor in multisets
 
fleury <Mathias.Fleury@mpi-inf.mpg.de> 
parents:  
diff
changeset
 | 
14  | 
structure Multiset_Simprocs : MULTISET_SIMPROCS =  | 
| 
 
e68a0b651eb5
add_mset constructor in multisets
 
fleury <Mathias.Fleury@mpi-inf.mpg.de> 
parents:  
diff
changeset
 | 
15  | 
struct  | 
| 
 
e68a0b651eb5
add_mset constructor in multisets
 
fleury <Mathias.Fleury@mpi-inf.mpg.de> 
parents:  
diff
changeset
 | 
16  | 
|
| 
65029
 
00731700e54f
cancellation simprocs generalising the multiset simprocs
 
fleury <Mathias.Fleury@mpi-inf.mpg.de> 
parents: 
63793 
diff
changeset
 | 
17  | 
structure Subset_Cancel_Multiset = Cancel_Fun  | 
| 
 
00731700e54f
cancellation simprocs generalising the multiset simprocs
 
fleury <Mathias.Fleury@mpi-inf.mpg.de> 
parents: 
63793 
diff
changeset
 | 
18  | 
(open Cancel_Data  | 
| 69593 | 19  | 
val mk_bal = HOLogic.mk_binrel \<^const_name>\<open>subset_mset\<close>  | 
20  | 
val dest_bal = HOLogic.dest_bin \<^const_name>\<open>subset_mset\<close> dummyT  | 
|
| 
65029
 
00731700e54f
cancellation simprocs generalising the multiset simprocs
 
fleury <Mathias.Fleury@mpi-inf.mpg.de> 
parents: 
63793 
diff
changeset
 | 
21  | 
  val bal_add1 = @{thm mset_subset_add_iff1[unfolded repeat_mset_iterate_add]} RS trans
 | 
| 
 
00731700e54f
cancellation simprocs generalising the multiset simprocs
 
fleury <Mathias.Fleury@mpi-inf.mpg.de> 
parents: 
63793 
diff
changeset
 | 
22  | 
  val bal_add2 = @{thm mset_subset_add_iff2[unfolded repeat_mset_iterate_add]} RS trans
 | 
| 
63793
 
e68a0b651eb5
add_mset constructor in multisets
 
fleury <Mathias.Fleury@mpi-inf.mpg.de> 
parents:  
diff
changeset
 | 
23  | 
);  | 
| 
 
e68a0b651eb5
add_mset constructor in multisets
 
fleury <Mathias.Fleury@mpi-inf.mpg.de> 
parents:  
diff
changeset
 | 
24  | 
|
| 
65029
 
00731700e54f
cancellation simprocs generalising the multiset simprocs
 
fleury <Mathias.Fleury@mpi-inf.mpg.de> 
parents: 
63793 
diff
changeset
 | 
25  | 
structure Subseteq_Cancel_Multiset = Cancel_Fun  | 
| 
 
00731700e54f
cancellation simprocs generalising the multiset simprocs
 
fleury <Mathias.Fleury@mpi-inf.mpg.de> 
parents: 
63793 
diff
changeset
 | 
26  | 
(open Cancel_Data  | 
| 69593 | 27  | 
val mk_bal = HOLogic.mk_binrel \<^const_name>\<open>subseteq_mset\<close>  | 
28  | 
val dest_bal = HOLogic.dest_bin \<^const_name>\<open>subseteq_mset\<close> dummyT  | 
|
| 
65029
 
00731700e54f
cancellation simprocs generalising the multiset simprocs
 
fleury <Mathias.Fleury@mpi-inf.mpg.de> 
parents: 
63793 
diff
changeset
 | 
29  | 
  val bal_add1 = @{thm mset_subseteq_add_iff1[unfolded repeat_mset_iterate_add]} RS trans
 | 
| 
 
00731700e54f
cancellation simprocs generalising the multiset simprocs
 
fleury <Mathias.Fleury@mpi-inf.mpg.de> 
parents: 
63793 
diff
changeset
 | 
30  | 
  val bal_add2 = @{thm mset_subseteq_add_iff2[unfolded repeat_mset_iterate_add]} RS trans
 | 
| 
63793
 
e68a0b651eb5
add_mset constructor in multisets
 
fleury <Mathias.Fleury@mpi-inf.mpg.de> 
parents:  
diff
changeset
 | 
31  | 
);  | 
| 
 
e68a0b651eb5
add_mset constructor in multisets
 
fleury <Mathias.Fleury@mpi-inf.mpg.de> 
parents:  
diff
changeset
 | 
32  | 
|
| 
65029
 
00731700e54f
cancellation simprocs generalising the multiset simprocs
 
fleury <Mathias.Fleury@mpi-inf.mpg.de> 
parents: 
63793 
diff
changeset
 | 
33  | 
val subset_cancel_msets = Subset_Cancel_Multiset.proc;  | 
| 
 
00731700e54f
cancellation simprocs generalising the multiset simprocs
 
fleury <Mathias.Fleury@mpi-inf.mpg.de> 
parents: 
63793 
diff
changeset
 | 
34  | 
val subseteq_cancel_msets = Subseteq_Cancel_Multiset.proc;  | 
| 
63793
 
e68a0b651eb5
add_mset constructor in multisets
 
fleury <Mathias.Fleury@mpi-inf.mpg.de> 
parents:  
diff
changeset
 | 
35  | 
|
| 
 
e68a0b651eb5
add_mset constructor in multisets
 
fleury <Mathias.Fleury@mpi-inf.mpg.de> 
parents:  
diff
changeset
 | 
36  | 
end  |