helm/software/matita/contribs/procedural/Coq/Num/Axioms.mma

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   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
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  10 (*       \ /        This file is distributed under the terms of the       *)
  11 (*        v         GNU General Public License Version 2                  *)
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  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___,, *        INRIA-Rocquencourt  &  LRI-CNRS-Orsay              *)
  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: Axioms.v,v 1.6 2002/02/14 14:39:02 filliatr Exp $ i*)
  34
  35 (*#* Axioms for the basic numerical operations *)
  36
  37 include "Num/Params.ma".
  38
  39 include "Num/EqParams.ma".
  40
  41 include "Num/NSyntax.ma".
  42
  43 (*#* Axioms for [eq] *)
  44
  45 inline procedural "cic:/Coq/Num/Axioms/eq_refl.con".
  46
  47 inline procedural "cic:/Coq/Num/Axioms/eq_sym.con".
  48
  49 inline procedural "cic:/Coq/Num/Axioms/eq_trans.con".
  50
  51 (*#* Axioms for [add] *)
  52
  53 inline procedural "cic:/Coq/Num/Axioms/add_sym.con".
  54
  55 inline procedural "cic:/Coq/Num/Axioms/add_assoc_l.con".
  56
  57 inline procedural "cic:/Coq/Num/Axioms/add_0_x.con".
  58
  59 (*#* Axioms for [S] *)
  60
  61 inline procedural "cic:/Coq/Num/Axioms/add_Sx_y.con".
  62
  63 (*#* Axioms for [one] *)
  64
  65 inline procedural "cic:/Coq/Num/Axioms/S_0_1.con".
  66
  67 (*#* Axioms for [<],
  68     properties of [>], [<=] and [>=] will be derived from [<] *)
  69
  70 inline procedural "cic:/Coq/Num/Axioms/lt_trans.con".
  71
  72 inline procedural "cic:/Coq/Num/Axioms/lt_anti_refl.con".
  73
  74 inline procedural "cic:/Coq/Num/Axioms/lt_x_Sx.con".
  75
  76 inline procedural "cic:/Coq/Num/Axioms/lt_S_compat.con".
  77
  78 inline procedural "cic:/Coq/Num/Axioms/lt_add_compat_l.con".
  79
  80 (* UNEXPORTED
  81 Hints Resolve add_sym add_assoc_l add_0_x add_Sx_y S_0_1 lt_x_Sx lt_S_compat
  82               lt_trans lt_anti_refl lt_add_compat_l : num.
  83 *)
  84