helm/software/matita/contribs/procedural/Coq/IntMap/Mapaxioms.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 (*i     $Id: Mapaxioms.v,v 1.4.2.1 2004/07/16 19:31:04 herbelin Exp $    i*)
  34
  35 include "Bool/Bool.ma".
  36
  37 include "Bool/Sumbool.ma".
  38
  39 include "ZArith/ZArith.ma".
  40
  41 include "IntMap/Addr.ma".
  42
  43 include "IntMap/Adist.ma".
  44
  45 include "IntMap/Addec.ma".
  46
  47 include "IntMap/Map.ma".
  48
  49 include "IntMap/Fset.ma".
  50
  51 (* UNEXPORTED
  52 Section MapAxioms
  53 *)
  54
  55 (* UNEXPORTED
  56 cic:/Coq/IntMap/Mapaxioms/MapAxioms/A.var
  57 *)
  58
  59 (* UNEXPORTED
  60 cic:/Coq/IntMap/Mapaxioms/MapAxioms/B.var
  61 *)
  62
  63 (* UNEXPORTED
  64 cic:/Coq/IntMap/Mapaxioms/MapAxioms/C.var
  65 *)
  66
  67 inline procedural "cic:/Coq/IntMap/Mapaxioms/eqm_sym.con" as lemma.
  68
  69 inline procedural "cic:/Coq/IntMap/Mapaxioms/eqm_refl.con" as lemma.
  70
  71 inline procedural "cic:/Coq/IntMap/Mapaxioms/eqm_trans.con" as lemma.
  72
  73 inline procedural "cic:/Coq/IntMap/Mapaxioms/eqmap.con" as definition.
  74
  75 inline procedural "cic:/Coq/IntMap/Mapaxioms/eqmap_sym.con" as lemma.
  76
  77 inline procedural "cic:/Coq/IntMap/Mapaxioms/eqmap_refl.con" as lemma.
  78
  79 inline procedural "cic:/Coq/IntMap/Mapaxioms/eqmap_trans.con" as lemma.
  80
  81 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapPut_as_Merge.con" as lemma.
  82
  83 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapPut_ext.con" as lemma.
  84
  85 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapPut_behind_as_Merge.con" as lemma.
  86
  87 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapPut_behind_ext.con" as lemma.
  88
  89 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapMerge_empty_m_1.con" as lemma.
  90
  91 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapMerge_empty_m.con" as lemma.
  92
  93 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapMerge_m_empty_1.con" as lemma.
  94
  95 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapMerge_m_empty.con" as lemma.
  96
  97 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapMerge_empty_l.con" as lemma.
  98
  99 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapMerge_empty_r.con" as lemma.
 100
 101 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapMerge_assoc.con" as lemma.
 102
 103 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapMerge_idempotent.con" as lemma.
 104
 105 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapMerge_ext.con" as lemma.
 106
 107 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapMerge_ext_l.con" as lemma.
 108
 109 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapMerge_ext_r.con" as lemma.
 110
 111 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapMerge_RestrTo_l.con" as lemma.
 112
 113 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapRemove_as_RestrBy.con" as lemma.
 114
 115 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapRemove_ext.con" as lemma.
 116
 117 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapDomRestrTo_empty_m_1.con" as lemma.
 118
 119 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapDomRestrTo_empty_m.con" as lemma.
 120
 121 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapDomRestrTo_m_empty_1.con" as lemma.
 122
 123 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapDomRestrTo_m_empty.con" as lemma.
 124
 125 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapDomRestrTo_assoc.con" as lemma.
 126
 127 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapDomRestrTo_idempotent.con" as lemma.
 128
 129 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapDomRestrTo_Dom.con" as lemma.
 130
 131 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapDomRestrBy_empty_m_1.con" as lemma.
 132
 133 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapDomRestrBy_empty_m.con" as lemma.
 134
 135 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapDomRestrBy_m_empty_1.con" as lemma.
 136
 137 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapDomRestrBy_m_empty.con" as lemma.
 138
 139 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapDomRestrBy_Dom.con" as lemma.
 140
 141 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapDomRestrBy_m_m_1.con" as lemma.
 142
 143 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapDomRestrBy_By.con" as lemma.
 144
 145 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapDomRestrBy_By_comm.con" as lemma.
 146
 147 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapDomRestrBy_To.con" as lemma.
 148
 149 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapDomRestrBy_To_comm.con" as lemma.
 150
 151 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapDomRestrTo_By.con" as lemma.
 152
 153 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapDomRestrTo_By_comm.con" as lemma.
 154
 155 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapDomRestrTo_To_comm.con" as lemma.
 156
 157 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapMerge_DomRestrTo.con" as lemma.
 158
 159 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapMerge_DomRestrBy.con" as lemma.
 160
 161 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapDelta_empty_m_1.con" as lemma.
 162
 163 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapDelta_empty_m.con" as lemma.
 164
 165 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapDelta_m_empty_1.con" as lemma.
 166
 167 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapDelta_m_empty.con" as lemma.
 168
 169 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapDelta_nilpotent.con" as lemma.
 170
 171 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapDelta_as_Merge.con" as lemma.
 172
 173 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapDelta_as_DomRestrBy.con" as lemma.
 174
 175 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapDelta_as_DomRestrBy_2.con" as lemma.
 176
 177 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapDelta_sym.con" as lemma.
 178
 179 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapDelta_ext.con" as lemma.
 180
 181 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapDelta_ext_l.con" as lemma.
 182
 183 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapDelta_ext_r.con" as lemma.
 184
 185 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapDom_Split_1.con" as lemma.
 186
 187 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapDom_Split_2.con" as lemma.
 188
 189 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapDom_Split_3.con" as lemma.
 190
 191 (* UNEXPORTED
 192 End MapAxioms
 193 *)
 194
 195 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapDomRestrTo_ext.con" as lemma.
 196
 197 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapDomRestrTo_ext_l.con" as lemma.
 198
 199 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapDomRestrTo_ext_r.con" as lemma.
 200
 201 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapDomRestrBy_ext.con" as lemma.
 202
 203 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapDomRestrBy_ext_l.con" as lemma.
 204
 205 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapDomRestrBy_ext_r.con" as lemma.
 206
 207 inline procedural "cic:/Coq/IntMap/Mapaxioms/MapDomRestrBy_m_m.con" as lemma.
 208
 209 inline procedural "cic:/Coq/IntMap/Mapaxioms/FSetDelta_assoc.con" as lemma.
 210
 211 inline procedural "cic:/Coq/IntMap/Mapaxioms/FSet_ext.con" as lemma.
 212
 213 inline procedural "cic:/Coq/IntMap/Mapaxioms/FSetUnion_comm.con" as lemma.
 214
 215 inline procedural "cic:/Coq/IntMap/Mapaxioms/FSetUnion_assoc.con" as lemma.
 216
 217 inline procedural "cic:/Coq/IntMap/Mapaxioms/FSetUnion_M0_s.con" as lemma.
 218
 219 inline procedural "cic:/Coq/IntMap/Mapaxioms/FSetUnion_s_M0.con" as lemma.
 220
 221 inline procedural "cic:/Coq/IntMap/Mapaxioms/FSetUnion_idempotent.con" as lemma.
 222
 223 inline procedural "cic:/Coq/IntMap/Mapaxioms/FSetInter_comm.con" as lemma.
 224
 225 inline procedural "cic:/Coq/IntMap/Mapaxioms/FSetInter_assoc.con" as lemma.
 226
 227 inline procedural "cic:/Coq/IntMap/Mapaxioms/FSetInter_M0_s.con" as lemma.
 228
 229 inline procedural "cic:/Coq/IntMap/Mapaxioms/FSetInter_s_M0.con" as lemma.
 230
 231 inline procedural "cic:/Coq/IntMap/Mapaxioms/FSetInter_idempotent.con" as lemma.
 232
 233 inline procedural "cic:/Coq/IntMap/Mapaxioms/FSetUnion_Inter_l.con" as lemma.
 234
 235 inline procedural "cic:/Coq/IntMap/Mapaxioms/FSetUnion_Inter_r.con" as lemma.
 236
 237 inline procedural "cic:/Coq/IntMap/Mapaxioms/FSetInter_Union_l.con" as lemma.
 238
 239 inline procedural "cic:/Coq/IntMap/Mapaxioms/FSetInter_Union_r.con" as lemma.
 240