X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2FCoRN-Decl%2Fmetrics%2FIR_CPMSpace.ma;h=fd53f08381cf0bf72f05855c4b0306f36b45b4a3;hb=943c8baae10afee070468ab54f4bf86563df2418;hp=1df53a8ea416251490dc512b5fdae0efdc80ade8;hpb=3199f2a8428b5d19a3a803c1b03d9f90e4120f74;p=helm.git diff --git a/helm/software/matita/contribs/CoRN-Decl/metrics/IR_CPMSpace.ma b/helm/software/matita/contribs/CoRN-Decl/metrics/IR_CPMSpace.ma index 1df53a8ea..fd53f0838 100644 --- a/helm/software/matita/contribs/CoRN-Decl/metrics/IR_CPMSpace.ma +++ b/helm/software/matita/contribs/CoRN-Decl/metrics/IR_CPMSpace.ma @@ -16,14 +16,14 @@ 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. +Section Reals *) (*#* **Real numbers @@ -39,50 +39,50 @@ 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. +alias id "X" = "cic:/CoRN/metrics/IR_CPMSpace/Reals/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. +End Reals *) (* UNEXPORTED -Section Addition. +Section Addition *) (*#* **Addition of continuous functions @@ -93,13 +93,13 @@ 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. +End Addition *)