X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2FCoRN-Decl%2Freals%2FRealFuncts.ma;h=70f643e8f7f35842d01c0d9d5b6ae3476848c705;hb=7a8f91f8aa2d6ba24bf6b3093866f759ee16e690;hp=c717a91e253c064b2ab62a2aae17acb93c78dbc2;hpb=3199f2a8428b5d19a3a803c1b03d9f90e4120f74;p=helm.git diff --git a/helm/software/matita/contribs/CoRN-Decl/reals/RealFuncts.ma b/helm/software/matita/contribs/CoRN-Decl/reals/RealFuncts.ma index c717a91e2..70f643e8f 100644 --- a/helm/software/matita/contribs/CoRN-Decl/reals/RealFuncts.ma +++ b/helm/software/matita/contribs/CoRN-Decl/reals/RealFuncts.ma @@ -16,11 +16,11 @@ set "baseuri" "cic:/matita/CoRN-Decl/reals/RealFuncts". +include "CoRN_notation.ma". + (* $Id: RealFuncts.v,v 1.4 2004/04/07 15:08:10 lcf Exp $ *) -(* INCLUDE -CReals1 -*) +include "reals/CReals1.ma". (*#* * Continuity of Functions on Reals *) @@ -41,9 +41,9 @@ Unset Strict Implicit. Section Continuity. *) -inline cic:/CoRN/reals/RealFuncts/f.var. +inline "cic:/CoRN/reals/RealFuncts/f.var". -inline cic:/CoRN/reals/RealFuncts/f2.var. +inline "cic:/CoRN/reals/RealFuncts/f2.var". (*#* Let [f] be a unary setoid operation on [IR] and @@ -60,15 +60,15 @@ Intervals like $[a,b]$#[a,b]# are defined for arbitrary reals [a,b] (being $\emptyset$#∅# for [a [>] b]). *) -inline cic:/CoRN/reals/RealFuncts/Intclr.con. +inline "cic:/CoRN/reals/RealFuncts/Intclr.con". -inline cic:/CoRN/reals/RealFuncts/Intolr.con. +inline "cic:/CoRN/reals/RealFuncts/Intolr.con". -inline cic:/CoRN/reals/RealFuncts/Intol.con. +inline "cic:/CoRN/reals/RealFuncts/Intol.con". -inline cic:/CoRN/reals/RealFuncts/Intcl.con. +inline "cic:/CoRN/reals/RealFuncts/Intcl.con". -inline cic:/CoRN/reals/RealFuncts/Intcr.con. +inline "cic:/CoRN/reals/RealFuncts/Intcr.con". (*#* The limit of [f(x)] as [x] goes to [p = l], for both unary and binary functions: @@ -80,11 +80,11 @@ forall e [>] Zero, exists d [>] Zero, forall (x : IR) ]] *) -inline cic:/CoRN/reals/RealFuncts/funLim.con. +inline "cic:/CoRN/reals/RealFuncts/funLim.con". (*#* The definition of limit of [f] in [p] using Cauchy sequences. *) -inline cic:/CoRN/reals/RealFuncts/funLim_Cauchy.con. +inline "cic:/CoRN/reals/RealFuncts/funLim_Cauchy.con". (*#* The first definition implies the second one. *) @@ -113,40 +113,40 @@ forall e [>] Zero, exists d [>] Zero, forall (x : IR) ]] *) -inline cic:/CoRN/reals/RealFuncts/funLim2.con. +inline "cic:/CoRN/reals/RealFuncts/funLim2.con". (*#* The function [f] is continuous at [p] if the limit of [f(x)] as [x] goes to [p] is [f(p)]. This is the [eps [/] delta] definition. We also give the definition with limits of Cauchy sequences. *) -inline cic:/CoRN/reals/RealFuncts/continAt.con. +inline "cic:/CoRN/reals/RealFuncts/continAt.con". -inline cic:/CoRN/reals/RealFuncts/continAtCauchy.con. +inline "cic:/CoRN/reals/RealFuncts/continAtCauchy.con". -inline cic:/CoRN/reals/RealFuncts/continAt2.con. +inline "cic:/CoRN/reals/RealFuncts/continAt2.con". (* Ax_iom continAt_prop1 :(p:IR)(continAt p)->(continAtCauchy p). *) -inline cic:/CoRN/reals/RealFuncts/contin.con. +inline "cic:/CoRN/reals/RealFuncts/contin.con". -inline cic:/CoRN/reals/RealFuncts/continCauchy.con. +inline "cic:/CoRN/reals/RealFuncts/continCauchy.con". -inline cic:/CoRN/reals/RealFuncts/contin2.con. +inline "cic:/CoRN/reals/RealFuncts/contin2.con". (*#* Continuous on a closed, resp.%\% open, resp.%\% left open, resp.%\% left closed interval *) -inline cic:/CoRN/reals/RealFuncts/continOnc.con. +inline "cic:/CoRN/reals/RealFuncts/continOnc.con". -inline cic:/CoRN/reals/RealFuncts/continOno.con. +inline "cic:/CoRN/reals/RealFuncts/continOno.con". -inline cic:/CoRN/reals/RealFuncts/continOnol.con. +inline "cic:/CoRN/reals/RealFuncts/continOnol.con". -inline cic:/CoRN/reals/RealFuncts/continOncl.con. +inline "cic:/CoRN/reals/RealFuncts/continOncl.con". (* Section Sequence_and_function_limits.