helm/software/matita/contribs/procedural/CoRN/reals/CReals.mma

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
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  10 (*       \ /        This file is distributed under the terms of the       *)
  11 (*        v         GNU General Public License Version 2                  *)
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  13 (**************************************************************************)
  14
  15 (* This file was automatically generated: do not edit *********************)
  16
  17 include "CoRN.ma".
  18
  19 (* $Id: CReals.v,v 1.2 2004/04/05 11:35:38 lcf Exp $ *)
  20
  21 (*#* printing Lim %\ensuremath{\lim}% *)
  22
  23 include "algebra/COrdCauchy.ma".
  24
  25 (*#* * Definition of the notion of reals
  26 The reals are defined as a Cauchy-closed Archimedean constructive
  27 ordered field in which we have a maximum function. The maximum
  28 function is definable, using countable choice, but in a rather tricky
  29 way. Cauchy completeness is stated by assuming a function [lim]
  30 that returns a real number for every Cauchy sequence together with a
  31 proof that this number is the limit.
  32 *)
  33
  34 (* Begin_SpecReals *)
  35
  36 inline procedural "cic:/CoRN/reals/CReals/is_CReals.ind".
  37
  38 inline procedural "cic:/CoRN/reals/CReals/CReals.ind".
  39
  40 (* COERCION
  41 cic:/matita/CoRN-Procedural/reals/CReals/crl_crr.con
  42 *)
  43
  44 (* End_SpecReals *)
  45
  46 inline procedural "cic:/CoRN/reals/CReals/Lim.con" as definition.
  47
  48 (* UNEXPORTED
  49 Implicit Arguments Lim [IR].
  50 *)
  51