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[helm.git] / matita / contribs / CoRN-Decl / ftc / COrdLemmas.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/ftc/COrdLemmas".
+
+include "CoRN.ma".
+
+(* $Id: COrdLemmas.v,v 1.2 2004/04/23 10:00:57 lcf Exp $ *)
+
+include "algebra/COrdCauchy.ma".
+
+(* UNEXPORTED
+Section Lemmas
+*)
+
+(*#* *Lemmas for Integration
+
+Here we include several lemmas valid in any ordered field [F] which 
+are useful for integration.
+
+** Merging orders
+
+We first prove that any two strictly ordered sets of points which have
+an empty intersection can be ordered as one (this will be the core of
+the proof that any two partitions with no common point have a common
+refinement).
+*)
+
+alias id "F" = "cic:/CoRN/ftc/COrdLemmas/Lemmas/F.var".
+
+inline "cic:/CoRN/ftc/COrdLemmas/om_fun_lt.con".
+
+inline "cic:/CoRN/ftc/COrdLemmas/om_fun.con".
+
+inline "cic:/CoRN/ftc/COrdLemmas/om_fun_1.con".
+
+inline "cic:/CoRN/ftc/COrdLemmas/om_fun_2a.con".
+
+inline "cic:/CoRN/ftc/COrdLemmas/om_fun_2.con".
+
+inline "cic:/CoRN/ftc/COrdLemmas/om_fun_3a.con".
+
+inline "cic:/CoRN/ftc/COrdLemmas/om_fun_3b.con".
+
+inline "cic:/CoRN/ftc/COrdLemmas/om_fun_4a.con".
+
+inline "cic:/CoRN/ftc/COrdLemmas/om_fun_4b.con".
+
+inline "cic:/CoRN/ftc/COrdLemmas/om_fun_4c.con".
+
+inline "cic:/CoRN/ftc/COrdLemmas/om_fun_4d.con".
+
+(* begin hide *)
+
+alias id "f" = "cic:/CoRN/ftc/COrdLemmas/Lemmas/f.var".
+
+alias id "f0" = "cic:/CoRN/ftc/COrdLemmas/Lemmas/f0.var".
+
+alias id "f_mon" = "cic:/CoRN/ftc/COrdLemmas/Lemmas/f_mon.var".
+
+alias id "h" = "cic:/CoRN/ftc/COrdLemmas/Lemmas/h.var".
+
+(* end hide *)
+
+(*#* ** Summations
+Also, some technical stuff on sums.  The first lemma relates two
+different kinds of sums; the other two ones are variations, where the
+structure of the arguments is analyzed in more detail.
+*)
+
+(* begin show *)
+
+inline "cic:/CoRN/ftc/COrdLemmas/Sumx_Sum_Sum
+ (* end show *)
+ (* begin hide *).con".
+
+(* end hide *)
+
+(* begin show *)
+
+inline "cic:/CoRN/ftc/COrdLemmas/str_Sumx_Sum_Sum
+ (* end show *)
+ (* begin hide *).con".
+
+(* UNEXPORTED
+End Lemmas
+*)
+
+(* UNEXPORTED
+Section More_Lemmas
+*)
+
+inline "cic:/CoRN/ftc/COrdLemmas/More_Lemmas/f'.con" "More_Lemmas__".
+
+(* end hide *)
+
+alias id "F" = "cic:/CoRN/ftc/COrdLemmas/More_Lemmas/F.var".
+
+(* begin show *)
+
+inline "cic:/CoRN/ftc/COrdLemmas/str_Sumx_Sum_Sum'
+ (* end show *)
+ (* begin hide *).con".
+
+(* end hide *)
+
+(* UNEXPORTED
+End More_Lemmas
+*)
+