helm/software/matita/contribs/procedural/Coq/ZArith/ZArith_dec.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                             *)
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  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: ZArith_dec.v,v 1.11.2.1 2004/07/16 19:31:20 herbelin Exp $ i*)
  34
  35 include "Bool/Sumbool.ma".
  36
  37 include "ZArith/BinInt.ma".
  38
  39 include "ZArith/Zorder.ma".
  40
  41 include "ZArith/Zcompare.ma".
  42
  43 (* UNEXPORTED
  44 Open Local Scope Z_scope.
  45 *)
  46
  47 inline procedural "cic:/Coq/ZArith/ZArith_dec/Dcompare_inf.con" as lemma.
  48
  49 inline procedural "cic:/Coq/ZArith/ZArith_dec/Zcompare_rec.con" as lemma.
  50
  51 (* UNEXPORTED
  52 Section decidability
  53 *)
  54
  55 (* UNEXPORTED
  56 cic:/Coq/ZArith/ZArith_dec/decidability/x.var
  57 *)
  58
  59 (* UNEXPORTED
  60 cic:/Coq/ZArith/ZArith_dec/decidability/y.var
  61 *)
  62
  63 (*#* Decidability of equality on binary integers *)
  64
  65 inline procedural "cic:/Coq/ZArith/ZArith_dec/Z_eq_dec.con" as definition.
  66
  67 (*#* Decidability of order on binary integers *)
  68
  69 inline procedural "cic:/Coq/ZArith/ZArith_dec/Z_lt_dec.con" as definition.
  70
  71 inline procedural "cic:/Coq/ZArith/ZArith_dec/Z_le_dec.con" as definition.
  72
  73 inline procedural "cic:/Coq/ZArith/ZArith_dec/Z_gt_dec.con" as definition.
  74
  75 inline procedural "cic:/Coq/ZArith/ZArith_dec/Z_ge_dec.con" as definition.
  76
  77 inline procedural "cic:/Coq/ZArith/ZArith_dec/Z_lt_ge_dec.con" as definition.
  78
  79 inline procedural "cic:/Coq/ZArith/ZArith_dec/Z_lt_le_dec.con" as lemma.
  80
  81 inline procedural "cic:/Coq/ZArith/ZArith_dec/Z_le_gt_dec.con" as definition.
  82
  83 inline procedural "cic:/Coq/ZArith/ZArith_dec/Z_gt_le_dec.con" as definition.
  84
  85 inline procedural "cic:/Coq/ZArith/ZArith_dec/Z_ge_lt_dec.con" as definition.
  86
  87 inline procedural "cic:/Coq/ZArith/ZArith_dec/Z_le_lt_eq_dec.con" as definition.
  88
  89 (* UNEXPORTED
  90 End decidability
  91 *)
  92
  93 (*#* Cotransitivity of order on binary integers *)
  94
  95 inline procedural "cic:/Coq/ZArith/ZArith_dec/Zlt_cotrans.con" as lemma.
  96
  97 inline procedural "cic:/Coq/ZArith/ZArith_dec/Zlt_cotrans_pos.con" as lemma.
  98
  99 inline procedural "cic:/Coq/ZArith/ZArith_dec/Zlt_cotrans_neg.con" as lemma.
 100
 101 inline procedural "cic:/Coq/ZArith/ZArith_dec/not_Zeq_inf.con" as lemma.
 102
 103 inline procedural "cic:/Coq/ZArith/ZArith_dec/Z_dec.con" as lemma.
 104
 105 inline procedural "cic:/Coq/ZArith/ZArith_dec/Z_dec'.con" as lemma.
 106
 107 inline procedural "cic:/Coq/ZArith/ZArith_dec/Z_zerop.con" as definition.
 108
 109 inline procedural "cic:/Coq/ZArith/ZArith_dec/Z_notzerop.con" as definition.
 110
 111 inline procedural "cic:/Coq/ZArith/ZArith_dec/Z_noteq_dec.con" as definition.
 112