X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2FCoRN-Decl%2Fmetrics%2FContFunctions.ma;h=3fe1765efcca6d08fe6cd71c4c603dd909ee5e2c;hb=5e01cba364607e7937aec2e359c34f049bb0f108;hp=0f93560af85b96a0b0af98882fd54ba9fe725303;hpb=80110e17ef1d38d71473e9471ce15beddde663bb;p=helm.git diff --git a/helm/software/matita/contribs/CoRN-Decl/metrics/ContFunctions.ma b/helm/software/matita/contribs/CoRN-Decl/metrics/ContFunctions.ma index 0f93560af..3fe1765ef 100644 --- a/helm/software/matita/contribs/CoRN-Decl/metrics/ContFunctions.ma +++ b/helm/software/matita/contribs/CoRN-Decl/metrics/ContFunctions.ma @@ -23,7 +23,7 @@ include "CoRN.ma". include "metrics/CPseudoMSpaces.ma". (* UNEXPORTED -Section Continuous_functions. +Section Continuous_functions *) (*#* **Continuous functions, uniformly continuous functions and Lipschitz functions @@ -32,9 +32,9 @@ Let [A] and [B] be pseudo metric spaces. %\end{convention}% *) -inline "cic:/CoRN/metrics/ContFunctions/A.var". +inline "cic:/CoRN/metrics/ContFunctions/Continuous_functions/A.var" "Continuous_functions__". -inline "cic:/CoRN/metrics/ContFunctions/B.var". +inline "cic:/CoRN/metrics/ContFunctions/Continuous_functions/B.var" "Continuous_functions__". (*#* We will look at some notions of continuous functions. @@ -55,7 +55,7 @@ inline "cic:/CoRN/metrics/ContFunctions/lipschitz.con". inline "cic:/CoRN/metrics/ContFunctions/lipschitz'.con". (* UNEXPORTED -End Continuous_functions. +End Continuous_functions *) (* UNEXPORTED @@ -87,7 +87,7 @@ Implicit Arguments lipschitz' [A B]. *) (* UNEXPORTED -Section Lemmas. +Section Lemmas *) (* begin hide *) @@ -120,11 +120,11 @@ inline "cic:/CoRN/metrics/ContFunctions/uni_continuous_imp_continuous.con". inline "cic:/CoRN/metrics/ContFunctions/lipschitz_imp_uni_continuous.con". (* UNEXPORTED -End Lemmas. +End Lemmas *) (* UNEXPORTED -Section Identity. +Section Identity *) (*#* **Identity @@ -142,11 +142,11 @@ inline "cic:/CoRN/metrics/ContFunctions/id_is_uni_continuous.con". inline "cic:/CoRN/metrics/ContFunctions/id_is_continuous.con". (* UNEXPORTED -End Identity. +End Identity *) (* UNEXPORTED -Section Constant. +Section Constant *) (*#* **Constant functions @@ -160,9 +160,9 @@ Any constant function is Lipschitz. Hence it is uniformly continuous and continuous. *) -inline "cic:/CoRN/metrics/ContFunctions/B.var". +inline "cic:/CoRN/metrics/ContFunctions/Constant/B.var" "Constant__". -inline "cic:/CoRN/metrics/ContFunctions/X.var". +inline "cic:/CoRN/metrics/ContFunctions/Constant/X.var" "Constant__". inline "cic:/CoRN/metrics/ContFunctions/const_fun_is_lipschitz.con". @@ -171,11 +171,11 @@ inline "cic:/CoRN/metrics/ContFunctions/const_fun_is_uni_continuous.con". inline "cic:/CoRN/metrics/ContFunctions/const_fun_is_continuous.con". (* UNEXPORTED -End Constant. +End Constant *) (* UNEXPORTED -Section Composition. +Section Composition *) (*#* **Composition @@ -191,15 +191,15 @@ The composition of two Lipschitz/uniformly continous/continuous functions is again Lipschitz/uniformly continuous/continuous. *) -inline "cic:/CoRN/metrics/ContFunctions/X.var". +inline "cic:/CoRN/metrics/ContFunctions/Composition/X.var" "Composition__". -inline "cic:/CoRN/metrics/ContFunctions/B.var". +inline "cic:/CoRN/metrics/ContFunctions/Composition/B.var" "Composition__". -inline "cic:/CoRN/metrics/ContFunctions/f.var". +inline "cic:/CoRN/metrics/ContFunctions/Composition/f.var" "Composition__". -inline "cic:/CoRN/metrics/ContFunctions/C.var". +inline "cic:/CoRN/metrics/ContFunctions/Composition/C.var" "Composition__". -inline "cic:/CoRN/metrics/ContFunctions/g.var". +inline "cic:/CoRN/metrics/ContFunctions/Composition/g.var" "Composition__". inline "cic:/CoRN/metrics/ContFunctions/comp_resp_lipschitz.con". @@ -208,11 +208,11 @@ inline "cic:/CoRN/metrics/ContFunctions/comp_resp_uni_continuous.con". inline "cic:/CoRN/metrics/ContFunctions/comp_resp_continuous.con". (* UNEXPORTED -End Composition. +End Composition *) (* UNEXPORTED -Section Limit. +Section Limit *) (*#* **Limit @@ -243,6 +243,6 @@ Implicit Arguments seqcontinuous' [A B]. inline "cic:/CoRN/metrics/ContFunctions/continuous'_imp_seqcontinuous'.con". (* UNEXPORTED -End Limit. +End Limit *)