helm/software/matita/contribs/procedural/Coq/Reals/Rlimit.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: Rlimit.v,v 1.23.2.1 2004/07/16 19:31:13 herbelin Exp $ i*)
  34
  35 (*#********************************************************)
  36
  37 (*           Definition of the limit                     *)
  38
  39 (*                                                       *)
  40
  41 (*#********************************************************)
  42
  43 include "Reals/Rbase.ma".
  44
  45 include "Reals/Rfunctions.ma".
  46
  47 include "Logic/Classical_Prop.ma".
  48
  49 (* UNEXPORTED
  50 Open Local Scope R_scope.
  51 *)
  52
  53 (*#******************************)
  54
  55 (*      Calculus               *)
  56
  57 (*#******************************)
  58
  59 (*#********)
  60
  61 inline procedural "cic:/Coq/Reals/Rlimit/eps2_Rgt_R0.con" as lemma.
  62
  63 (*#********)
  64
  65 inline procedural "cic:/Coq/Reals/Rlimit/eps2.con" as lemma.
  66
  67 (*#********)
  68
  69 inline procedural "cic:/Coq/Reals/Rlimit/eps4.con" as lemma.
  70
  71 (*#********)
  72
  73 inline procedural "cic:/Coq/Reals/Rlimit/Rlt_eps2_eps.con" as lemma.
  74
  75 (*#********)
  76
  77 inline procedural "cic:/Coq/Reals/Rlimit/Rlt_eps4_eps.con" as lemma.
  78
  79 (*#********)
  80
  81 inline procedural "cic:/Coq/Reals/Rlimit/prop_eps.con" as lemma.
  82
  83 (*#********)
  84
  85 inline procedural "cic:/Coq/Reals/Rlimit/mul_factor.con" as definition.
  86
  87 (*#********)
  88
  89 inline procedural "cic:/Coq/Reals/Rlimit/mul_factor_wd.con" as lemma.
  90
  91 (*#********)
  92
  93 inline procedural "cic:/Coq/Reals/Rlimit/mul_factor_gt.con" as lemma.
  94
  95 (*#********)
  96
  97 inline procedural "cic:/Coq/Reals/Rlimit/mul_factor_gt_f.con" as lemma.
  98
  99 (*#******************************)
 100
 101 (*      Metric space           *)
 102
 103 (*#******************************)
 104
 105 (*#********)
 106
 107 inline procedural "cic:/Coq/Reals/Rlimit/Metric_Space.ind".
 108
 109 (*#******************************)
 110
 111 (*     Limit in Metric space   *)
 112
 113 (*#******************************)
 114
 115 (*#********)
 116
 117 inline procedural "cic:/Coq/Reals/Rlimit/limit_in.con" as definition.
 118
 119 (*#******************************)
 120
 121 (*    R is a metric space      *)
 122
 123 (*#******************************)
 124
 125 (*#********)
 126
 127 inline procedural "cic:/Coq/Reals/Rlimit/R_met.con" as definition.
 128
 129 (*#******************************)
 130
 131 (*         Limit 1 arg         *)
 132
 133 (*#******************************)
 134
 135 (*#********)
 136
 137 inline procedural "cic:/Coq/Reals/Rlimit/Dgf.con" as definition.
 138
 139 (*#********)
 140
 141 inline procedural "cic:/Coq/Reals/Rlimit/limit1_in.con" as definition.
 142
 143 (*#********)
 144
 145 inline procedural "cic:/Coq/Reals/Rlimit/tech_limit.con" as lemma.
 146
 147 (*#********)
 148
 149 inline procedural "cic:/Coq/Reals/Rlimit/tech_limit_contr.con" as lemma.
 150
 151 (*#********)
 152
 153 inline procedural "cic:/Coq/Reals/Rlimit/lim_x.con" as lemma.
 154
 155 (*#********)
 156
 157 inline procedural "cic:/Coq/Reals/Rlimit/limit_plus.con" as lemma.
 158
 159 (*#********)
 160
 161 inline procedural "cic:/Coq/Reals/Rlimit/limit_Ropp.con" as lemma.
 162
 163 (*#********)
 164
 165 inline procedural "cic:/Coq/Reals/Rlimit/limit_minus.con" as lemma.
 166
 167 (*#********)
 168
 169 inline procedural "cic:/Coq/Reals/Rlimit/limit_free.con" as lemma.
 170
 171 (*#********)
 172
 173 inline procedural "cic:/Coq/Reals/Rlimit/limit_mul.con" as lemma.
 174
 175 (*#********)
 176
 177 inline procedural "cic:/Coq/Reals/Rlimit/adhDa.con" as definition.
 178
 179 (*#********)
 180
 181 inline procedural "cic:/Coq/Reals/Rlimit/single_limit.con" as lemma.
 182
 183 (*#********)
 184
 185 inline procedural "cic:/Coq/Reals/Rlimit/limit_comp.con" as lemma.
 186
 187 (*#********)
 188
 189 inline procedural "cic:/Coq/Reals/Rlimit/limit_inv.con" as lemma.
 190