helm/software/matita/contribs/procedural/Coq/Reals/Rseries.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: Rseries.v,v 1.11.2.1 2004/07/16 19:31:13 herbelin Exp $ i*)
  34
  35 include "Reals/Rbase.ma".
  36
  37 include "Reals/Rfunctions.ma".
  38
  39 include "Logic/Classical.ma".
  40
  41 include "Arith/Compare.ma".
  42
  43 (* UNEXPORTED
  44 Open Local Scope R_scope.
  45 *)
  46
  47 (* UNEXPORTED
  48 Implicit Type r : R.
  49 *)
  50
  51 (* classical is needed for [Un_cv_crit] *)
  52
  53 (*#********************************************************)
  54
  55 (*           Definition of sequence and properties       *)
  56
  57 (*                                                       *)
  58
  59 (*#********************************************************)
  60
  61 (* UNEXPORTED
  62 Section sequence
  63 *)
  64
  65 (*#********)
  66
  67 (* UNEXPORTED
  68 cic:/Coq/Reals/Rseries/sequence/Un.var
  69 *)
  70
  71 (*#********)
  72
  73 inline procedural "cic:/Coq/Reals/Rseries/Rmax_N.con" as definition.
  74
  75 (*#********)
  76
  77 inline procedural "cic:/Coq/Reals/Rseries/EUn.con" as definition.
  78
  79 (*#********)
  80
  81 inline procedural "cic:/Coq/Reals/Rseries/Un_cv.con" as definition.
  82
  83 (*#********)
  84
  85 inline procedural "cic:/Coq/Reals/Rseries/Cauchy_crit.con" as definition.
  86
  87 (*#********)
  88
  89 inline procedural "cic:/Coq/Reals/Rseries/Un_growing.con" as definition.
  90
  91 (*#********)
  92
  93 inline procedural "cic:/Coq/Reals/Rseries/EUn_noempty.con" as lemma.
  94
  95 (*#********)
  96
  97 inline procedural "cic:/Coq/Reals/Rseries/Un_in_EUn.con" as lemma.
  98
  99 (*#********)
 100
 101 inline procedural "cic:/Coq/Reals/Rseries/Un_bound_imp.con" as lemma.
 102
 103 (*#********)
 104
 105 inline procedural "cic:/Coq/Reals/Rseries/growing_prop.con" as lemma.
 106
 107 (* classical is needed: [not_all_not_ex] *)
 108
 109 (*#********)
 110
 111 inline procedural "cic:/Coq/Reals/Rseries/Un_cv_crit.con" as lemma.
 112
 113 (*#********)
 114
 115 inline procedural "cic:/Coq/Reals/Rseries/finite_greater.con" as lemma.
 116
 117 (*#********)
 118
 119 inline procedural "cic:/Coq/Reals/Rseries/cauchy_bound.con" as lemma.
 120
 121 (* UNEXPORTED
 122 End sequence
 123 *)
 124
 125 (*#****************************************************************)
 126
 127 (*           Definition of Power Series and properties           *)
 128
 129 (*                                                               *)
 130
 131 (*#****************************************************************)
 132
 133 (* UNEXPORTED
 134 Section Isequence
 135 *)
 136
 137 (*#********)
 138
 139 (* UNEXPORTED
 140 cic:/Coq/Reals/Rseries/Isequence/An.var
 141 *)
 142
 143 (*#********)
 144
 145 inline procedural "cic:/Coq/Reals/Rseries/Pser.con" as definition.
 146
 147 (* UNEXPORTED
 148 End Isequence
 149 *)
 150
 151 inline procedural "cic:/Coq/Reals/Rseries/GP_infinite.con" as lemma.
 152