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1 (**************************************************************************)
2 (*       ___                                                              *)
3 (*      ||M||                                                             *)
4 (*      ||A||       A project by Andrea Asperti                           *)
5 (*      ||T||                                                             *)
6 (*      ||I||       Developers:                                           *)
7 (*      ||T||         The HELM team.                                      *)
8 (*      ||A||         http://helm.cs.unibo.it                             *)
9 (*      \   /                                                             *)
10 (*       \ /        This file is distributed under the terms of the       *)
11 (*        v         GNU General Public License Version 2                  *)
12 (*                                                                        *)
13 (**************************************************************************)
14
15 (* This file was automatically generated: do not edit *********************)
16
17 include "Coq.ma".
18
19 include "Init/Prelude.ma".
20
21 (*#***********************************************************************)
22
23 (*  v      *   The Coq Proof Assistant  /  The Coq Development Team     *)
24
25 (* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *)
26
27 (*   \VV/  **************************************************************)
28
29 (*    //   *      This file is distributed under the terms of the       *)
30
31 (*         *       GNU Lesser General Public License Version 2.1        *)
32
33 (*#***********************************************************************)
34
35 (*i $Id: Relation_Definitions.v,v 1.6.2.1 2004/07/16 19:31:16 herbelin Exp $ i*)
36
37 (* UNEXPORTED
38 Section Relation_Definition
39 *)
40
41 (* UNEXPORTED
42 cic:/Coq/Relations/Relation_Definitions/Relation_Definition/A.var
43 *)
44
45 inline procedural "cic:/Coq/Relations/Relation_Definitions/relation.con" as definition.
46
47 (* UNEXPORTED
48 cic:/Coq/Relations/Relation_Definitions/Relation_Definition/R.var
49 *)
50
51 (* UNEXPORTED
52 Section General_Properties_of_Relations
53 *)
54
55 inline procedural "cic:/Coq/Relations/Relation_Definitions/reflexive.con" as definition.
56
57 inline procedural "cic:/Coq/Relations/Relation_Definitions/transitive.con" as definition.
58
59 inline procedural "cic:/Coq/Relations/Relation_Definitions/symmetric.con" as definition.
60
61 inline procedural "cic:/Coq/Relations/Relation_Definitions/antisymmetric.con" as definition.
62
63 (* for compatibility with Equivalence in  ../PROGRAMS/ALG/  *)
64
65 inline procedural "cic:/Coq/Relations/Relation_Definitions/equiv.con" as definition.
66
67 (* UNEXPORTED
68 End General_Properties_of_Relations
69 *)
70
71 (* UNEXPORTED
72 Section Sets_of_Relations
73 *)
74
75 inline procedural "cic:/Coq/Relations/Relation_Definitions/preorder.ind".
76
77 inline procedural "cic:/Coq/Relations/Relation_Definitions/order.ind".
78
79 inline procedural "cic:/Coq/Relations/Relation_Definitions/equivalence.ind".
80
81 inline procedural "cic:/Coq/Relations/Relation_Definitions/PER.ind".
82
83 (* UNEXPORTED
84 End Sets_of_Relations
85 *)
86
87 (* UNEXPORTED
88 Section Relations_of_Relations
89 *)
90
91 inline procedural "cic:/Coq/Relations/Relation_Definitions/inclusion.con" as definition.
92
93 inline procedural "cic:/Coq/Relations/Relation_Definitions/same_relation.con" as definition.
94
95 inline procedural "cic:/Coq/Relations/Relation_Definitions/commut.con" as definition.
96
97 (* UNEXPORTED
98 End Relations_of_Relations
99 *)
100
101 (* UNEXPORTED
102 End Relation_Definition
103 *)
104
105 (* UNEXPORTED
106 Hint Unfold reflexive transitive antisymmetric symmetric: sets v62.
107 *)
108
109 (* UNEXPORTED
110 Hint Resolve Build_preorder Build_order Build_equivalence Build_PER
111   preord_refl preord_trans ord_refl ord_trans ord_antisym equiv_refl
112   equiv_trans equiv_sym per_sym per_trans: sets v62.
113 *)
114
115 (* UNEXPORTED
116 Hint Unfold inclusion same_relation commut: sets v62.
117 *)
118