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4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
10 (* \ / This file is distributed under the terms of the *)
11 (* v GNU General Public License Version 2 *)
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15 (* This file was automatically generated: do not edit *********************)
19 (*#**********************************************************************)
21 (* v * The Coq Proof Assistant / The Coq Development Team *)
23 (* <O___,, * INRIA-Rocquencourt & LRI-CNRS-Orsay *)
25 (* \VV/ *************************************************************)
27 (* // * This file is distributed under the terms of the *)
29 (* * GNU Lesser General Public License Version 2.1 *)
31 (*#**********************************************************************)
33 (*i $Id: Sorting.v,v 1.4 2003/11/29 17:28:44 herbelin Exp $ i*)
35 include "Lists/List.ma".
37 include "Sets/Multiset.ma".
39 include "Sorting/Permutation.ma".
41 include "Relations/Relations.ma".
44 Set Implicit Arguments.
52 cic:/Coq/Sorting/Sorting/defs/A.var
56 cic:/Coq/Sorting/Sorting/defs/leA.var
60 cic:/Coq/Sorting/Sorting/defs/eqA.var
63 inline procedural "cic:/Coq/Sorting/Sorting/defs/gtA.con" "defs__" as definition.
66 cic:/Coq/Sorting/Sorting/defs/leA_dec.var
70 cic:/Coq/Sorting/Sorting/defs/eqA_dec.var
74 cic:/Coq/Sorting/Sorting/defs/leA_refl.var
78 cic:/Coq/Sorting/Sorting/defs/leA_trans.var
82 cic:/Coq/Sorting/Sorting/defs/leA_antisym.var
86 Hint Resolve leA_refl.
90 Hint Immediate eqA_dec leA_dec leA_antisym.
93 inline procedural "cic:/Coq/Sorting/Sorting/defs/emptyBag.con" "defs__" as definition.
95 inline procedural "cic:/Coq/Sorting/Sorting/defs/singletonBag.con" "defs__" as definition.
99 inline procedural "cic:/Coq/Sorting/Sorting/lelistA.ind".
102 Hint Constructors lelistA.
105 inline procedural "cic:/Coq/Sorting/Sorting/lelistA_inv.con" as lemma.
107 (*#* definition for a list to be sorted *)
109 inline procedural "cic:/Coq/Sorting/Sorting/sort.ind".
112 Hint Constructors sort.
115 inline procedural "cic:/Coq/Sorting/Sorting/sort_inv.con" as lemma.
117 inline procedural "cic:/Coq/Sorting/Sorting/sort_rec.con" as lemma.
119 (*#* merging two sorted lists *)
121 inline procedural "cic:/Coq/Sorting/Sorting/merge_lem.ind".
123 inline procedural "cic:/Coq/Sorting/Sorting/merge.con" as lemma.
130 Unset Implicit Arguments.
134 Hint Constructors sort: datatypes v62.
138 Hint Constructors lelistA: datatypes v62.