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[helm.git] / matita / contribs / CoRN-Decl / reals / CReals.ma
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+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||M||                                                             *)
+(*      ||A||       A project by Andrea Asperti                           *)
+(*      ||T||                                                             *)
+(*      ||I||       Developers:                                           *)
+(*      ||T||         The HELM team.                                      *)
+(*      ||A||         http://helm.cs.unibo.it                             *)
+(*      \   /                                                             *)
+(*       \ /        This file is distributed under the terms of the       *)
+(*        v         GNU General Public License Version 2                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+(* This file was automatically generated: do not edit *********************)
+
+set "baseuri" "cic:/matita/CoRN-Decl/reals/CReals".
+
+include "CoRN.ma".
+
+(* $Id: CReals.v,v 1.2 2004/04/05 11:35:38 lcf Exp $ *)
+
+(*#* printing Lim %\ensuremath{\lim}% *)
+
+include "algebra/COrdCauchy.ma".
+
+(*#* * Definition of the notion of reals
+The reals are defined as a Cauchy-closed Archimedean constructive 
+ordered field in which we have a maximum function. The maximum
+function is definable, using countable choice, but in a rather tricky
+way. Cauchy completeness is stated by assuming a function [lim]
+that returns a real number for every Cauchy sequence together with a
+proof that this number is the limit.  
+*)
+
+(* Begin_SpecReals *)
+
+inline "cic:/CoRN/reals/CReals/is_CReals.ind".
+
+inline "cic:/CoRN/reals/CReals/CReals.ind".
+
+coercion cic:/matita/CoRN-Decl/reals/CReals/crl_crr.con 0 (* compounds *).
+
+(* End_SpecReals *)
+
+inline "cic:/CoRN/reals/CReals/Lim.con".
+
+(* UNEXPORTED
+Implicit Arguments Lim [IR].
+*)
+