X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fcontribs%2FCoRN-Decl%2Fmetrics%2FIR_CPMSpace.ma;h=1bd2da7300979b0917535f0968811a86f41f88aa;hb=52206fa1c090fcdc8386ec8d7e88beca089c7e39;hp=1df53a8ea416251490dc512b5fdae0efdc80ade8;hpb=0e0d5c57eb154bf20d101f09e560401434156c1d;p=helm.git diff --git a/matita/contribs/CoRN-Decl/metrics/IR_CPMSpace.ma b/matita/contribs/CoRN-Decl/metrics/IR_CPMSpace.ma index 1df53a8ea..1bd2da730 100644 --- a/matita/contribs/CoRN-Decl/metrics/IR_CPMSpace.ma +++ b/matita/contribs/CoRN-Decl/metrics/IR_CPMSpace.ma @@ -16,11 +16,11 @@ set "baseuri" "cic:/matita/CoRN-Decl/metrics/IR_CPMSpace". +include "CoRN.ma". + (* $Id: IR_CPMSpace.v,v 1.4 2004/04/23 10:01:02 lcf Exp $ *) -(* INCLUDE -ContFunctions -*) +include "metrics/ContFunctions.ma". (* UNEXPORTED Section Reals. @@ -39,43 +39,43 @@ Let [X] be a pseudo metric space. The real numbers with the usual distance form a pseudo metric space. *) -inline cic:/CoRN/metrics/IR_CPMSpace/dIR.con. +inline "cic:/CoRN/metrics/IR_CPMSpace/dIR.con". -inline cic:/CoRN/metrics/IR_CPMSpace/bin_fun_strext_dIR.con. +inline "cic:/CoRN/metrics/IR_CPMSpace/bin_fun_strext_dIR.con". -inline cic:/CoRN/metrics/IR_CPMSpace/dIR_as_CSetoid_fun.con. +inline "cic:/CoRN/metrics/IR_CPMSpace/dIR_as_CSetoid_fun.con". -inline cic:/CoRN/metrics/IR_CPMSpace/dIR_nneg.con. +inline "cic:/CoRN/metrics/IR_CPMSpace/dIR_nneg.con". -inline cic:/CoRN/metrics/IR_CPMSpace/dIR_com.con. +inline "cic:/CoRN/metrics/IR_CPMSpace/dIR_com.con". -inline cic:/CoRN/metrics/IR_CPMSpace/dIR_pos_imp_ap.con. +inline "cic:/CoRN/metrics/IR_CPMSpace/dIR_pos_imp_ap.con". (* begin hide *) -inline cic:/CoRN/metrics/IR_CPMSpace/IR_tri_ineq.con. +inline "cic:/CoRN/metrics/IR_CPMSpace/IR_tri_ineq.con". (* end hide *) -inline cic:/CoRN/metrics/IR_CPMSpace/dIR_tri_ineq.con. +inline "cic:/CoRN/metrics/IR_CPMSpace/dIR_tri_ineq.con". -inline cic:/CoRN/metrics/IR_CPMSpace/IR_dIR_is_CPsMetricSpace.con. +inline "cic:/CoRN/metrics/IR_CPMSpace/IR_dIR_is_CPsMetricSpace.con". -inline cic:/CoRN/metrics/IR_CPMSpace/IR_as_CPsMetricSpace.con. +inline "cic:/CoRN/metrics/IR_CPMSpace/IR_as_CPsMetricSpace.con". -inline cic:/CoRN/metrics/IR_CPMSpace/X.var. +inline "cic:/CoRN/metrics/IR_CPMSpace/X.var". -inline cic:/CoRN/metrics/IR_CPMSpace/rev_tri_ineq'.con. +inline "cic:/CoRN/metrics/IR_CPMSpace/rev_tri_ineq'.con". (*#* A pseudo metric is Lipschitz. Hence it is uniformly continuous and continuous. *) -inline cic:/CoRN/metrics/IR_CPMSpace/d_is_lipschitz.con. +inline "cic:/CoRN/metrics/IR_CPMSpace/d_is_lipschitz.con". -inline cic:/CoRN/metrics/IR_CPMSpace/d_is_uni_continuous.con. +inline "cic:/CoRN/metrics/IR_CPMSpace/d_is_uni_continuous.con". -inline cic:/CoRN/metrics/IR_CPMSpace/d_is_continuous.con. +inline "cic:/CoRN/metrics/IR_CPMSpace/d_is_continuous.con". (* UNEXPORTED End Reals. @@ -93,11 +93,11 @@ The sum of two Lipschitz/uniformly continous/continuous functions is again Lipschitz/uniformly continuous/continuous. *) -inline cic:/CoRN/metrics/IR_CPMSpace/plus_resp_lipschitz.con. +inline "cic:/CoRN/metrics/IR_CPMSpace/plus_resp_lipschitz.con". -inline cic:/CoRN/metrics/IR_CPMSpace/plus_resp_uni_continuous.con. +inline "cic:/CoRN/metrics/IR_CPMSpace/plus_resp_uni_continuous.con". -inline cic:/CoRN/metrics/IR_CPMSpace/plus_resp_continuous.con. +inline "cic:/CoRN/metrics/IR_CPMSpace/plus_resp_continuous.con". (* UNEXPORTED End Addition.