helm/software/matita/contribs/procedural/Coq/Sets/Powerset_Classical_facts.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: Powerset_Classical_facts.v,v 1.5.2.1 2004/07/16 19:31:18 herbelin Exp $ i*)
  70
  71 include "Sets/Ensembles.ma".
  72
  73 include "Sets/Constructive_sets.ma".
  74
  75 include "Sets/Relations_1.ma".
  76
  77 include "Sets/Relations_1_facts.ma".
  78
  79 include "Sets/Partial_Order.ma".
  80
  81 include "Sets/Cpo.ma".
  82
  83 include "Sets/Powerset.ma".
  84
  85 include "Sets/Powerset_facts.ma".
  86
  87 include "Logic/Classical_Type.ma".
  88
  89 include "Sets/Classical_sets.ma".
  90
  91 (* UNEXPORTED
  92 Section Sets_as_an_algebra
  93 *)
  94
  95 (* UNEXPORTED
  96 cic:/Coq/Sets/Powerset_Classical_facts/Sets_as_an_algebra/U.var
  97 *)
  98
  99 inline procedural "cic:/Coq/Sets/Powerset_Classical_facts/sincl_add_x.con" as lemma.
 100
 101 inline procedural "cic:/Coq/Sets/Powerset_Classical_facts/incl_soustr_in.con" as lemma.
 102
 103 (* UNEXPORTED
 104 Hint Resolve incl_soustr_in: sets v62.
 105 *)
 106
 107 inline procedural "cic:/Coq/Sets/Powerset_Classical_facts/incl_soustr.con" as lemma.
 108
 109 (* UNEXPORTED
 110 Hint Resolve incl_soustr: sets v62.
 111 *)
 112
 113 inline procedural "cic:/Coq/Sets/Powerset_Classical_facts/incl_soustr_add_l.con" as lemma.
 114
 115 (* UNEXPORTED
 116 Hint Resolve incl_soustr_add_l: sets v62.
 117 *)
 118
 119 inline procedural "cic:/Coq/Sets/Powerset_Classical_facts/incl_soustr_add_r.con" as lemma.
 120
 121 (* UNEXPORTED
 122 Hint Resolve incl_soustr_add_r: sets v62.
 123 *)
 124
 125 inline procedural "cic:/Coq/Sets/Powerset_Classical_facts/add_soustr_2.con" as lemma.
 126
 127 inline procedural "cic:/Coq/Sets/Powerset_Classical_facts/add_soustr_1.con" as lemma.
 128
 129 (* UNEXPORTED
 130 Hint Resolve add_soustr_1 add_soustr_2: sets v62.
 131 *)
 132
 133 inline procedural "cic:/Coq/Sets/Powerset_Classical_facts/add_soustr_xy.con" as lemma.
 134
 135 (* UNEXPORTED
 136 Hint Resolve add_soustr_xy: sets v62.
 137 *)
 138
 139 inline procedural "cic:/Coq/Sets/Powerset_Classical_facts/incl_st_add_soustr.con" as lemma.
 140
 141 inline procedural "cic:/Coq/Sets/Powerset_Classical_facts/Sub_Add_new.con" as lemma.
 142
 143 inline procedural "cic:/Coq/Sets/Powerset_Classical_facts/Simplify_add.con" as lemma.
 144
 145 inline procedural "cic:/Coq/Sets/Powerset_Classical_facts/Included_Add.con" as lemma.
 146
 147 inline procedural "cic:/Coq/Sets/Powerset_Classical_facts/setcover_inv.con" as lemma.
 148
 149 inline procedural "cic:/Coq/Sets/Powerset_Classical_facts/Add_covers.con" as theorem.
 150
 151 inline procedural "cic:/Coq/Sets/Powerset_Classical_facts/covers_Add.con" as theorem.
 152
 153 inline procedural "cic:/Coq/Sets/Powerset_Classical_facts/covers_is_Add.con" as theorem.
 154
 155 inline procedural "cic:/Coq/Sets/Powerset_Classical_facts/Singleton_atomic.con" as theorem.
 156
 157 inline procedural "cic:/Coq/Sets/Powerset_Classical_facts/less_than_singleton.con" as lemma.
 158
 159 (* UNEXPORTED
 160 End Sets_as_an_algebra
 161 *)
 162
 163 (* UNEXPORTED
 164 Hint Resolve incl_soustr_in: sets v62.
 165 *)
 166
 167 (* UNEXPORTED
 168 Hint Resolve incl_soustr: sets v62.
 169 *)
 170
 171 (* UNEXPORTED
 172 Hint Resolve incl_soustr_add_l: sets v62.
 173 *)
 174
 175 (* UNEXPORTED
 176 Hint Resolve incl_soustr_add_r: sets v62.
 177 *)
 178
 179 (* UNEXPORTED
 180 Hint Resolve add_soustr_1 add_soustr_2: sets v62.
 181 *)
 182
 183 (* UNEXPORTED
 184 Hint Resolve add_soustr_xy: sets v62.
 185 *)
 186