helm/software/matita/contribs/procedural/Coq/Reals/Rcomplete.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___,, *        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: Rcomplete.v,v 1.10 2003/12/24 10:27:06 barras Exp $ i*)
  34
  35 include "Reals/Rbase.ma".
  36
  37 include "Reals/Rfunctions.ma".
  38
  39 include "Reals/Rseries.ma".
  40
  41 include "Reals/SeqProp.ma".
  42
  43 include "Arith/Max.ma".
  44
  45 (* UNEXPORTED
  46 Open Local Scope R_scope.
  47 *)
  48
  49 (*#***************************************************)
  50
  51 (*              R is complete :                     *)
  52
  53 (*        Each sequence which satisfies             *)
  54
  55 (*       the Cauchy's criterion converges           *)
  56
  57 (*                                                  *)
  58
  59 (*    Proof with adjacent sequences (Vn and Wn)     *)
  60
  61 (*#***************************************************)
  62
  63 inline procedural "cic:/Coq/Reals/Rcomplete/R_complete.con" as theorem.
  64