X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fcontribs%2FCoRN-Decl%2Freals%2FCReals.ma;fp=matita%2Fcontribs%2FCoRN-Decl%2Freals%2FCReals.ma;h=a43dcfcfd59a7d023f035c277ef02bf95b6e5a3b;hp=0000000000000000000000000000000000000000;hb=f61af501fb4608cc4fb062a0864c774e677f0d76;hpb=58ae1809c352e71e7b5530dc41e2bfc834e1aef1 diff --git a/matita/contribs/CoRN-Decl/reals/CReals.ma b/matita/contribs/CoRN-Decl/reals/CReals.ma new file mode 100644 index 000000000..a43dcfcfd --- /dev/null +++ b/matita/contribs/CoRN-Decl/reals/CReals.ma @@ -0,0 +1,51 @@ +(**************************************************************************) +(* ___ *) +(* ||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]. +*) +