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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 (*#***************************************************************************)
34
35 (*                                                                          *)
36
37 (*                         Naive Set Theory in Coq                          *)
38
39 (*                                                                          *)
40
41 (*                     INRIA                        INRIA                   *)
42
43 (*              Rocquencourt                        Sophia-Antipolis        *)
44
45 (*                                                                          *)
46
47 (*                                 Coq V6.1                                 *)
48
49 (*                                                                          *)
50
51 (*                               Gilles Kahn                                *)
52
53 (*                               Gerard Huet                                *)
54
55 (*                                                                          *)
56
57 (*                                                                          *)
58
59 (*                                                                          *)
60
61 (* Acknowledgments: This work was started in July 1993 by F. Prost. Thanks  *)
62
63 (* to the Newton Institute for providing an exceptional work environment    *)
64
65 (* in Summer 1995. Several developments by E. Ledinot were an inspiration.  *)
66
67 (*#***************************************************************************)
68
69 (*i $Id: Relations_2_facts.v,v 1.6.2.1 2004/07/16 19:31:18 herbelin Exp $ i*)
70
71 include "Sets/Relations_1.ma".
72
73 include "Sets/Relations_1_facts.ma".
74
75 include "Sets/Relations_2.ma".
76
77 inline procedural "cic:/Coq/Sets/Relations_2_facts/Rstar_reflexive.con" as theorem.
78
79 inline procedural "cic:/Coq/Sets/Relations_2_facts/Rplus_contains_R.con" as theorem.
80
81 inline procedural "cic:/Coq/Sets/Relations_2_facts/Rstar_contains_R.con" as theorem.
82
83 inline procedural "cic:/Coq/Sets/Relations_2_facts/Rstar_contains_Rplus.con" as theorem.
84
85 inline procedural "cic:/Coq/Sets/Relations_2_facts/Rstar_transitive.con" as theorem.
86
87 inline procedural "cic:/Coq/Sets/Relations_2_facts/Rstar_cases.con" as theorem.
88
89 inline procedural "cic:/Coq/Sets/Relations_2_facts/Rstar_equiv_Rstar1.con" as theorem.
90
91 inline procedural "cic:/Coq/Sets/Relations_2_facts/Rsym_imp_Rstarsym.con" as theorem.
92
93 inline procedural "cic:/Coq/Sets/Relations_2_facts/Sstar_contains_Rstar.con" as theorem.
94
95 inline procedural "cic:/Coq/Sets/Relations_2_facts/star_monotone.con" as theorem.
96
97 inline procedural "cic:/Coq/Sets/Relations_2_facts/RstarRplus_RRstar.con" as theorem.
98
99 inline procedural "cic:/Coq/Sets/Relations_2_facts/Lemma1.con" as theorem.
100