X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2FCoRN-Decl%2Fftc%2FDerivative.ma;fp=helm%2Fsoftware%2Fmatita%2Fcontribs%2FCoRN-Decl%2Fftc%2FDerivative.ma;h=4551cb7413942d88f9c4b3c6c8096cc872383096;hb=80110e17ef1d38d71473e9471ce15beddde663bb;hp=37588736a7245ddcf96a902aad033b1993392cdc;hpb=3199f2a8428b5d19a3a803c1b03d9f90e4120f74;p=helm.git diff --git a/helm/software/matita/contribs/CoRN-Decl/ftc/Derivative.ma b/helm/software/matita/contribs/CoRN-Decl/ftc/Derivative.ma index 37588736a..4551cb741 100644 --- a/helm/software/matita/contribs/CoRN-Decl/ftc/Derivative.ma +++ b/helm/software/matita/contribs/CoRN-Decl/ftc/Derivative.ma @@ -16,11 +16,11 @@ set "baseuri" "cic:/matita/CoRN-Decl/ftc/Derivative". +include "CoRN.ma". + (* $Id: Derivative.v,v 1.7 2004/04/23 10:00:58 lcf Exp $ *) -(* INCLUDE -Continuity -*) +include "ftc/Continuity.ma". (* UNEXPORTED Section Definitions. @@ -53,29 +53,29 @@ will be partial functions with domains respectively [P, P', Q, Q'] and %\end{convention}% *) -inline cic:/CoRN/ftc/Derivative/a.var. +inline "cic:/CoRN/ftc/Derivative/a.var". -inline cic:/CoRN/ftc/Derivative/b.var. +inline "cic:/CoRN/ftc/Derivative/b.var". -inline cic:/CoRN/ftc/Derivative/Hab'.var. +inline "cic:/CoRN/ftc/Derivative/Hab'.var". (* begin hide *) -inline cic:/CoRN/ftc/Derivative/Hab.con. +inline "cic:/CoRN/ftc/Derivative/Hab.con". -inline cic:/CoRN/ftc/Derivative/I.con. +inline "cic:/CoRN/ftc/Derivative/I.con". (* end hide *) -inline cic:/CoRN/ftc/Derivative/F.var. +inline "cic:/CoRN/ftc/Derivative/F.var". (* begin hide *) -inline cic:/CoRN/ftc/Derivative/P.con. +inline "cic:/CoRN/ftc/Derivative/P.con". (* end hide *) -inline cic:/CoRN/ftc/Derivative/Derivative_I.con. +inline "cic:/CoRN/ftc/Derivative/Derivative_I.con". (* UNEXPORTED End Definitions. @@ -92,17 +92,17 @@ Section Basic_Properties. (*#* **Basic Properties *) -inline cic:/CoRN/ftc/Derivative/a.var. +inline "cic:/CoRN/ftc/Derivative/a.var". -inline cic:/CoRN/ftc/Derivative/b.var. +inline "cic:/CoRN/ftc/Derivative/b.var". -inline cic:/CoRN/ftc/Derivative/Hab'.var. +inline "cic:/CoRN/ftc/Derivative/Hab'.var". (* begin hide *) -inline cic:/CoRN/ftc/Derivative/Hab.con. +inline "cic:/CoRN/ftc/Derivative/Hab.con". -inline cic:/CoRN/ftc/Derivative/I.con. +inline "cic:/CoRN/ftc/Derivative/I.con". (* end hide *) @@ -110,7 +110,7 @@ inline cic:/CoRN/ftc/Derivative/I.con. Like we did for equality, we begin by stating a lemma that makes proofs of derivation easier in practice. *) -inline cic:/CoRN/ftc/Derivative/Derivative_I_char.con. +inline "cic:/CoRN/ftc/Derivative/Derivative_I_char.con". (* end hide *) @@ -118,29 +118,29 @@ inline cic:/CoRN/ftc/Derivative/Derivative_I_char.con. Derivative is a well defined relation; we will make this explicit for both arguments: *) -inline cic:/CoRN/ftc/Derivative/F.var. +inline "cic:/CoRN/ftc/Derivative/F.var". -inline cic:/CoRN/ftc/Derivative/G.var. +inline "cic:/CoRN/ftc/Derivative/G.var". -inline cic:/CoRN/ftc/Derivative/H.var. +inline "cic:/CoRN/ftc/Derivative/H.var". (* begin hide *) -inline cic:/CoRN/ftc/Derivative/P.con. +inline "cic:/CoRN/ftc/Derivative/P.con". -inline cic:/CoRN/ftc/Derivative/Q.con. +inline "cic:/CoRN/ftc/Derivative/Q.con". -inline cic:/CoRN/ftc/Derivative/R.con. +inline "cic:/CoRN/ftc/Derivative/R.con". (* end hide *) -inline cic:/CoRN/ftc/Derivative/Derivative_I_wdl.con. +inline "cic:/CoRN/ftc/Derivative/Derivative_I_wdl.con". -inline cic:/CoRN/ftc/Derivative/Derivative_I_wdr.con. +inline "cic:/CoRN/ftc/Derivative/Derivative_I_wdr.con". (* begin hide *) -inline cic:/CoRN/ftc/Derivative/Derivative_I_unique_lemma.con. +inline "cic:/CoRN/ftc/Derivative/Derivative_I_unique_lemma.con". (* end hide *) @@ -148,25 +148,25 @@ inline cic:/CoRN/ftc/Derivative/Derivative_I_unique_lemma.con. Derivative is unique. *) -inline cic:/CoRN/ftc/Derivative/Derivative_I_unique.con. +inline "cic:/CoRN/ftc/Derivative/Derivative_I_unique.con". (*#* Finally, the set where we are considering the relation is included in the domain of both functions. *) -inline cic:/CoRN/ftc/Derivative/derivative_imp_inc.con. +inline "cic:/CoRN/ftc/Derivative/derivative_imp_inc.con". -inline cic:/CoRN/ftc/Derivative/derivative_imp_inc'.con. +inline "cic:/CoRN/ftc/Derivative/derivative_imp_inc'.con". (*#* Any function that is or has a derivative is continuous. *) -inline cic:/CoRN/ftc/Derivative/Hab''.var. +inline "cic:/CoRN/ftc/Derivative/Hab''.var". -inline cic:/CoRN/ftc/Derivative/deriv_imp_contin'_I.con. +inline "cic:/CoRN/ftc/Derivative/deriv_imp_contin'_I.con". -inline cic:/CoRN/ftc/Derivative/deriv_imp_contin_I.con. +inline "cic:/CoRN/ftc/Derivative/deriv_imp_contin_I.con". (* UNEXPORTED End Basic_Properties. @@ -176,5 +176,5 @@ End Basic_Properties. If [G] is the derivative of [F] in a given interval, then [G] is also the derivative of [F] in any smaller interval. *) -inline cic:/CoRN/ftc/Derivative/included_imp_deriv.con. +inline "cic:/CoRN/ftc/Derivative/included_imp_deriv.con".