helm/software/matita/contribs/procedural/Coq/Reals/ArithProp.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: ArithProp.v,v 1.11.2.1 2004/07/16 19:31:10 herbelin Exp $ i*)
  34
  35 include "Reals/Rbase.ma".
  36
  37 include "Reals/Rbasic_fun.ma".
  38
  39 include "Arith/Even.ma".
  40
  41 include "Arith/Div2.ma".
  42
  43 (* UNEXPORTED
  44 Open Local Scope Z_scope.
  45 *)
  46
  47 (* UNEXPORTED
  48 Open Local Scope R_scope.
  49 *)
  50
  51 inline procedural "cic:/Coq/Reals/ArithProp/minus_neq_O.con" as lemma.
  52
  53 inline procedural "cic:/Coq/Reals/ArithProp/le_minusni_n.con" as lemma.
  54
  55 inline procedural "cic:/Coq/Reals/ArithProp/lt_minus_O_lt.con" as lemma.
  56
  57 inline procedural "cic:/Coq/Reals/ArithProp/even_odd_cor.con" as lemma.
  58
  59 (* 2m <= 2n => m<=n *)
  60
  61 inline procedural "cic:/Coq/Reals/ArithProp/le_double.con" as lemma.
  62
  63 (* Here, we have the euclidian division *)
  64
  65 (* This lemma is used in the proof of sin_eq_0 : (sin x)=0<->x=kPI *)
  66
  67 inline procedural "cic:/Coq/Reals/ArithProp/euclidian_division.con" as lemma.
  68
  69 inline procedural "cic:/Coq/Reals/ArithProp/tech8.con" as lemma.
  70