helm/software/matita/contribs/procedural/Coq/IntMap/Addr.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: Addr.v,v 1.8.2.1 2004/07/16 19:31:04 herbelin Exp $         i*)
  34
  35 (*#* Representation of adresses by the [positive] type of binary numbers *)
  36
  37 include "Bool/Bool.ma".
  38
  39 include "ZArith/ZArith.ma".
  40
  41 inline procedural "cic:/Coq/IntMap/Addr/ad.ind".
  42
  43 inline procedural "cic:/Coq/IntMap/Addr/ad_sum.con" as lemma.
  44
  45 inline procedural "cic:/Coq/IntMap/Addr/p_xor.con" as definition.
  46
  47 inline procedural "cic:/Coq/IntMap/Addr/ad_xor.con" as definition.
  48
  49 inline procedural "cic:/Coq/IntMap/Addr/ad_xor_neutral_left.con" as lemma.
  50
  51 inline procedural "cic:/Coq/IntMap/Addr/ad_xor_neutral_right.con" as lemma.
  52
  53 inline procedural "cic:/Coq/IntMap/Addr/ad_xor_comm.con" as lemma.
  54
  55 inline procedural "cic:/Coq/IntMap/Addr/ad_xor_nilpotent.con" as lemma.
  56
  57 inline procedural "cic:/Coq/IntMap/Addr/ad_bit_1.con" as definition.
  58
  59 inline procedural "cic:/Coq/IntMap/Addr/ad_bit.con" as definition.
  60
  61 inline procedural "cic:/Coq/IntMap/Addr/eqf.con" as definition.
  62
  63 inline procedural "cic:/Coq/IntMap/Addr/ad_faithful_1.con" as lemma.
  64
  65 inline procedural "cic:/Coq/IntMap/Addr/ad_faithful_2.con" as lemma.
  66
  67 inline procedural "cic:/Coq/IntMap/Addr/ad_faithful_3.con" as lemma.
  68
  69 inline procedural "cic:/Coq/IntMap/Addr/ad_faithful_4.con" as lemma.
  70
  71 inline procedural "cic:/Coq/IntMap/Addr/ad_faithful.con" as lemma.
  72
  73 inline procedural "cic:/Coq/IntMap/Addr/adf_xor.con" as definition.
  74
  75 inline procedural "cic:/Coq/IntMap/Addr/ad_xor_sem_1.con" as lemma.
  76
  77 inline procedural "cic:/Coq/IntMap/Addr/ad_xor_sem_2.con" as lemma.
  78
  79 inline procedural "cic:/Coq/IntMap/Addr/ad_xor_sem_3.con" as lemma.
  80
  81 inline procedural "cic:/Coq/IntMap/Addr/ad_xor_sem_4.con" as lemma.
  82
  83 inline procedural "cic:/Coq/IntMap/Addr/ad_xor_sem_5.con" as lemma.
  84
  85 inline procedural "cic:/Coq/IntMap/Addr/ad_xor_sem_6.con" as lemma.
  86
  87 inline procedural "cic:/Coq/IntMap/Addr/ad_xor_semantics.con" as lemma.
  88
  89 inline procedural "cic:/Coq/IntMap/Addr/eqf_sym.con" as lemma.
  90
  91 inline procedural "cic:/Coq/IntMap/Addr/eqf_refl.con" as lemma.
  92
  93 inline procedural "cic:/Coq/IntMap/Addr/eqf_trans.con" as lemma.
  94
  95 inline procedural "cic:/Coq/IntMap/Addr/adf_xor_eq.con" as lemma.
  96
  97 inline procedural "cic:/Coq/IntMap/Addr/ad_xor_eq.con" as lemma.
  98
  99 inline procedural "cic:/Coq/IntMap/Addr/adf_xor_assoc.con" as lemma.
 100
 101 inline procedural "cic:/Coq/IntMap/Addr/eqf_xor_1.con" as lemma.
 102
 103 inline procedural "cic:/Coq/IntMap/Addr/ad_xor_assoc.con" as lemma.
 104
 105 inline procedural "cic:/Coq/IntMap/Addr/ad_double.con" as definition.
 106
 107 inline procedural "cic:/Coq/IntMap/Addr/ad_double_plus_un.con" as definition.
 108
 109 inline procedural "cic:/Coq/IntMap/Addr/ad_div_2.con" as definition.
 110
 111 inline procedural "cic:/Coq/IntMap/Addr/ad_double_div_2.con" as lemma.
 112
 113 inline procedural "cic:/Coq/IntMap/Addr/ad_double_plus_un_div_2.con" as lemma.
 114
 115 inline procedural "cic:/Coq/IntMap/Addr/ad_double_inj.con" as lemma.
 116
 117 inline procedural "cic:/Coq/IntMap/Addr/ad_double_plus_un_inj.con" as lemma.
 118
 119 inline procedural "cic:/Coq/IntMap/Addr/ad_bit_0.con" as definition.
 120
 121 inline procedural "cic:/Coq/IntMap/Addr/ad_double_bit_0.con" as lemma.
 122
 123 inline procedural "cic:/Coq/IntMap/Addr/ad_double_plus_un_bit_0.con" as lemma.
 124
 125 inline procedural "cic:/Coq/IntMap/Addr/ad_div_2_double.con" as lemma.
 126
 127 inline procedural "cic:/Coq/IntMap/Addr/ad_div_2_double_plus_un.con" as lemma.
 128
 129 inline procedural "cic:/Coq/IntMap/Addr/ad_bit_0_correct.con" as lemma.
 130
 131 inline procedural "cic:/Coq/IntMap/Addr/ad_div_2_correct.con" as lemma.
 132
 133 inline procedural "cic:/Coq/IntMap/Addr/ad_xor_bit_0.con" as lemma.
 134
 135 inline procedural "cic:/Coq/IntMap/Addr/ad_xor_div_2.con" as lemma.
 136
 137 inline procedural "cic:/Coq/IntMap/Addr/ad_neg_bit_0.con" as lemma.
 138
 139 inline procedural "cic:/Coq/IntMap/Addr/ad_neg_bit_0_1.con" as lemma.
 140
 141 inline procedural "cic:/Coq/IntMap/Addr/ad_neg_bit_0_2.con" as lemma.
 142
 143 inline procedural "cic:/Coq/IntMap/Addr/ad_same_bit_0.con" as lemma.
 144