helm/software/matita/contribs/procedural/Coq/Sets/Constructive_sets.mma

   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: Constructive_sets.v,v 1.5.2.1 2004/07/16 19:31:17 herbelin Exp $ i*)
  70
  71 include "Sets/Ensembles.ma".
  72
  73 (* UNEXPORTED
  74 Section Ensembles_facts
  75 *)
  76
  77 (* UNEXPORTED
  78 cic:/Coq/Sets/Constructive_sets/Ensembles_facts/U.var
  79 *)
  80
  81 inline procedural "cic:/Coq/Sets/Constructive_sets/Extension.con" as lemma.
  82
  83 inline procedural "cic:/Coq/Sets/Constructive_sets/Noone_in_empty.con" as lemma.
  84
  85 (* UNEXPORTED
  86 Hint Resolve Noone_in_empty.
  87 *)
  88
  89 inline procedural "cic:/Coq/Sets/Constructive_sets/Included_Empty.con" as lemma.
  90
  91 (* UNEXPORTED
  92 Hint Resolve Included_Empty.
  93 *)
  94
  95 inline procedural "cic:/Coq/Sets/Constructive_sets/Add_intro1.con" as lemma.
  96
  97 (* UNEXPORTED
  98 Hint Resolve Add_intro1.
  99 *)
 100
 101 inline procedural "cic:/Coq/Sets/Constructive_sets/Add_intro2.con" as lemma.
 102
 103 (* UNEXPORTED
 104 Hint Resolve Add_intro2.
 105 *)
 106
 107 inline procedural "cic:/Coq/Sets/Constructive_sets/Inhabited_add.con" as lemma.
 108
 109 (* UNEXPORTED
 110 Hint Resolve Inhabited_add.
 111 *)
 112
 113 inline procedural "cic:/Coq/Sets/Constructive_sets/Inhabited_not_empty.con" as lemma.
 114
 115 (* UNEXPORTED
 116 Hint Resolve Inhabited_not_empty.
 117 *)
 118
 119 inline procedural "cic:/Coq/Sets/Constructive_sets/Add_not_Empty.con" as lemma.
 120
 121 (* UNEXPORTED
 122 Hint Resolve Add_not_Empty.
 123 *)
 124
 125 inline procedural "cic:/Coq/Sets/Constructive_sets/not_Empty_Add.con" as lemma.
 126
 127 (* UNEXPORTED
 128 Hint Resolve not_Empty_Add.
 129 *)
 130
 131 inline procedural "cic:/Coq/Sets/Constructive_sets/Singleton_inv.con" as lemma.
 132
 133 (* UNEXPORTED
 134 Hint Resolve Singleton_inv.
 135 *)
 136
 137 inline procedural "cic:/Coq/Sets/Constructive_sets/Singleton_intro.con" as lemma.
 138
 139 (* UNEXPORTED
 140 Hint Resolve Singleton_intro.
 141 *)
 142
 143 inline procedural "cic:/Coq/Sets/Constructive_sets/Union_inv.con" as lemma.
 144
 145 inline procedural "cic:/Coq/Sets/Constructive_sets/Add_inv.con" as lemma.
 146
 147 inline procedural "cic:/Coq/Sets/Constructive_sets/Intersection_inv.con" as lemma.
 148
 149 (* UNEXPORTED
 150 Hint Resolve Intersection_inv.
 151 *)
 152
 153 inline procedural "cic:/Coq/Sets/Constructive_sets/Couple_inv.con" as lemma.
 154
 155 (* UNEXPORTED
 156 Hint Resolve Couple_inv.
 157 *)
 158
 159 inline procedural "cic:/Coq/Sets/Constructive_sets/Setminus_intro.con" as lemma.
 160
 161 (* UNEXPORTED
 162 Hint Resolve Setminus_intro.
 163 *)
 164
 165 inline procedural "cic:/Coq/Sets/Constructive_sets/Strict_Included_intro.con" as lemma.
 166
 167 (* UNEXPORTED
 168 Hint Resolve Strict_Included_intro.
 169 *)
 170
 171 inline procedural "cic:/Coq/Sets/Constructive_sets/Strict_Included_strict.con" as lemma.
 172
 173 (* UNEXPORTED
 174 Hint Resolve Strict_Included_strict.
 175 *)
 176
 177 (* UNEXPORTED
 178 End Ensembles_facts
 179 *)
 180
 181 (* UNEXPORTED
 182 Hint Resolve Singleton_inv Singleton_intro Add_intro1 Add_intro2
 183   Intersection_inv Couple_inv Setminus_intro Strict_Included_intro
 184   Strict_Included_strict Noone_in_empty Inhabited_not_empty Add_not_Empty
 185   not_Empty_Add Inhabited_add Included_Empty: sets v62.
 186 *)
 187