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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 (*#***********************************************************************)
20
21 (*  v      *   The Coq Proof Assistant  /  The Coq Development Team     *)
22
23 (* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *)
24
25 (*   \VV/  **************************************************************)
26
27 (*    //   *      This file is distributed under the terms of the       *)
28
29 (*         *       GNU Lesser General Public License Version 2.1        *)
30
31 (*#***********************************************************************)
32
33 (*i $Id: Relation_Definitions.v,v 1.6.2.1 2004/07/16 19:31:16 herbelin Exp $ i*)
34
35 (* UNEXPORTED
36 Section Relation_Definition
37 *)
38
39 (* UNEXPORTED
40 cic:/Coq/Relations/Relation_Definitions/Relation_Definition/A.var
41 *)
42
43 inline procedural "cic:/Coq/Relations/Relation_Definitions/relation.con" as definition.
44
45 (* UNEXPORTED
46 cic:/Coq/Relations/Relation_Definitions/Relation_Definition/R.var
47 *)
48
49 (* UNEXPORTED
50 Section General_Properties_of_Relations
51 *)
52
53 inline procedural "cic:/Coq/Relations/Relation_Definitions/reflexive.con" as definition.
54
55 inline procedural "cic:/Coq/Relations/Relation_Definitions/transitive.con" as definition.
56
57 inline procedural "cic:/Coq/Relations/Relation_Definitions/symmetric.con" as definition.
58
59 inline procedural "cic:/Coq/Relations/Relation_Definitions/antisymmetric.con" as definition.
60
61 (* for compatibility with Equivalence in  ../PROGRAMS/ALG/  *)
62
63 inline procedural "cic:/Coq/Relations/Relation_Definitions/equiv.con" as definition.
64
65 (* UNEXPORTED
66 End General_Properties_of_Relations
67 *)
68
69 (* UNEXPORTED
70 Section Sets_of_Relations
71 *)
72
73 inline procedural "cic:/Coq/Relations/Relation_Definitions/preorder.ind".
74
75 inline procedural "cic:/Coq/Relations/Relation_Definitions/order.ind".
76
77 inline procedural "cic:/Coq/Relations/Relation_Definitions/equivalence.ind".
78
79 inline procedural "cic:/Coq/Relations/Relation_Definitions/PER.ind".
80
81 (* UNEXPORTED
82 End Sets_of_Relations
83 *)
84
85 (* UNEXPORTED
86 Section Relations_of_Relations
87 *)
88
89 inline procedural "cic:/Coq/Relations/Relation_Definitions/inclusion.con" as definition.
90
91 inline procedural "cic:/Coq/Relations/Relation_Definitions/same_relation.con" as definition.
92
93 inline procedural "cic:/Coq/Relations/Relation_Definitions/commut.con" as definition.
94
95 (* UNEXPORTED
96 End Relations_of_Relations
97 *)
98
99 (* UNEXPORTED
100 End Relation_Definition
101 *)
102
103 (* UNEXPORTED
104 Hint Unfold reflexive transitive antisymmetric symmetric: sets v62.
105 *)
106
107 (* UNEXPORTED
108 Hint Resolve Build_preorder Build_order Build_equivalence Build_PER
109   preord_refl preord_trans ord_refl ord_trans ord_antisym equiv_refl
110   equiv_trans equiv_sym per_sym per_trans: sets v62.
111 *)
112
113 (* UNEXPORTED
114 Hint Unfold inclusion same_relation commut: sets v62.
115 *)
116