X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fcontribs%2FCoRN-Decl%2Fftc%2FCOrdLemmas.ma;fp=matita%2Fcontribs%2FCoRN-Decl%2Fftc%2FCOrdLemmas.ma;h=c3701c29fea5500d704c3a0988ebf86147946932;hp=0000000000000000000000000000000000000000;hb=f61af501fb4608cc4fb062a0864c774e677f0d76;hpb=58ae1809c352e71e7b5530dc41e2bfc834e1aef1 diff --git a/matita/contribs/CoRN-Decl/ftc/COrdLemmas.ma b/matita/contribs/CoRN-Decl/ftc/COrdLemmas.ma new file mode 100644 index 000000000..c3701c29f --- /dev/null +++ b/matita/contribs/CoRN-Decl/ftc/COrdLemmas.ma @@ -0,0 +1,123 @@ +(**************************************************************************) +(* ___ *) +(* ||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 +*) +