helm/software/matita/contribs/procedural/Coq/Reals/Exp_prop.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: Exp_prop.v,v 1.16.2.1 2004/07/16 19:31:10 herbelin Exp $ i*)
  34
  35 include "Reals/Rbase.ma".
  36
  37 include "Reals/Rfunctions.ma".
  38
  39 include "Reals/SeqSeries.ma".
  40
  41 include "Reals/Rtrigo.ma".
  42
  43 include "Reals/Ranalysis1.ma".
  44
  45 include "Reals/PSeries_reg.ma".
  46
  47 include "Arith/Div2.ma".
  48
  49 include "Arith/Even.ma".
  50
  51 include "Arith/Max.ma".
  52
  53 (* UNEXPORTED
  54 Open Local Scope nat_scope.
  55 *)
  56
  57 (* UNEXPORTED
  58 Open Local Scope R_scope.
  59 *)
  60
  61 inline procedural "cic:/Coq/Reals/Exp_prop/E1.con" as definition.
  62
  63 inline procedural "cic:/Coq/Reals/Exp_prop/E1_cvg.con" as lemma.
  64
  65 inline procedural "cic:/Coq/Reals/Exp_prop/Reste_E.con" as definition.
  66
  67 inline procedural "cic:/Coq/Reals/Exp_prop/exp_form.con" as lemma.
  68
  69 inline procedural "cic:/Coq/Reals/Exp_prop/maj_Reste_E.con" as definition.
  70
  71 inline procedural "cic:/Coq/Reals/Exp_prop/Rle_Rinv.con" as lemma.
  72
  73 (*#*********)
  74
  75 inline procedural "cic:/Coq/Reals/Exp_prop/div2_double.con" as lemma.
  76
  77 inline procedural "cic:/Coq/Reals/Exp_prop/div2_S_double.con" as lemma.
  78
  79 inline procedural "cic:/Coq/Reals/Exp_prop/div2_not_R0.con" as lemma.
  80
  81 inline procedural "cic:/Coq/Reals/Exp_prop/Reste_E_maj.con" as lemma.
  82
  83 inline procedural "cic:/Coq/Reals/Exp_prop/maj_Reste_cv_R0.con" as lemma.
  84
  85 (*#*********)
  86
  87 inline procedural "cic:/Coq/Reals/Exp_prop/Reste_E_cv.con" as lemma.
  88
  89 (*#*********)
  90
  91 inline procedural "cic:/Coq/Reals/Exp_prop/exp_plus.con" as lemma.
  92
  93 (*#*********)
  94
  95 inline procedural "cic:/Coq/Reals/Exp_prop/exp_pos_pos.con" as lemma.
  96
  97 (*#*********)
  98
  99 inline procedural "cic:/Coq/Reals/Exp_prop/exp_pos.con" as lemma.
 100
 101 (* ((exp h)-1)/h -> 0 quand h->0 *)
 102
 103 inline procedural "cic:/Coq/Reals/Exp_prop/derivable_pt_lim_exp_0.con" as lemma.
 104
 105 (*#*********)
 106
 107 inline procedural "cic:/Coq/Reals/Exp_prop/derivable_pt_lim_exp.con" as lemma.
 108