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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 (*#***************************************************************************)
36
37 (*                                                                          *)
38
39 (*                         Naive Set Theory in Coq                          *)
40
41 (*                                                                          *)
42
43 (*                     INRIA                        INRIA                   *)
44
45 (*              Rocquencourt                        Sophia-Antipolis        *)
46
47 (*                                                                          *)
48
49 (*                                 Coq V6.1                                 *)
50
51 (*                                                                          *)
52
53 (*                               Gilles Kahn                                *)
54
55 (*                               Gerard Huet                                *)
56
57 (*                                                                          *)
58
59 (*                                                                          *)
60
61 (*                                                                          *)
62
63 (* Acknowledgments: This work was started in July 1993 by F. Prost. Thanks  *)
64
65 (* to the Newton Institute for providing an exceptional work environment    *)
66
67 (* in Summer 1995. Several developments by E. Ledinot were an inspiration.  *)
68
69 (*#***************************************************************************)
70
71 (*i $Id: Relations_1.v,v 1.4.2.1 2004/07/16 19:31:18 herbelin Exp $ i*)
72
73 (* UNEXPORTED
74 Section Relations_1
75 *)
76
77 (* UNEXPORTED
78 cic:/Coq/Sets/Relations_1/Relations_1/U.var
79 *)
80
81 inline procedural "cic:/Coq/Sets/Relations_1/Relation.con" as definition.
82
83 (* UNEXPORTED
84 cic:/Coq/Sets/Relations_1/Relations_1/R.var
85 *)
86
87 inline procedural "cic:/Coq/Sets/Relations_1/Reflexive.con" as definition.
88
89 inline procedural "cic:/Coq/Sets/Relations_1/Transitive.con" as definition.
90
91 inline procedural "cic:/Coq/Sets/Relations_1/Symmetric.con" as definition.
92
93 inline procedural "cic:/Coq/Sets/Relations_1/Antisymmetric.con" as definition.
94
95 inline procedural "cic:/Coq/Sets/Relations_1/contains.con" as definition.
96
97 inline procedural "cic:/Coq/Sets/Relations_1/same_relation.con" as definition.
98
99 inline procedural "cic:/Coq/Sets/Relations_1/Preorder.ind".
100
101 inline procedural "cic:/Coq/Sets/Relations_1/Order.ind".
102
103 inline procedural "cic:/Coq/Sets/Relations_1/Equivalence.ind".
104
105 inline procedural "cic:/Coq/Sets/Relations_1/PER.ind".
106
107 (* UNEXPORTED
108 End Relations_1
109 *)
110
111 (* UNEXPORTED
112 Hint Unfold Reflexive Transitive Antisymmetric Symmetric contains
113   same_relation: sets v62.
114 *)
115
116 (* UNEXPORTED
117 Hint Resolve Definition_of_preorder Definition_of_order
118   Definition_of_equivalence Definition_of_PER: sets v62.
119 *)
120