X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2FCoRN-Decl%2Fftc%2FWeakIVT.ma;h=e59f23e8895a124ae13c21bac5d69872da1d70f7;hb=5e01cba364607e7937aec2e359c34f049bb0f108;hp=3e49ac89d1bc4099647e9a0b5339cfd41c4f6c11;hpb=7a8f91f8aa2d6ba24bf6b3093866f759ee16e690;p=helm.git diff --git a/helm/software/matita/contribs/CoRN-Decl/ftc/WeakIVT.ma b/helm/software/matita/contribs/CoRN-Decl/ftc/WeakIVT.ma index 3e49ac89d..e59f23e88 100644 --- a/helm/software/matita/contribs/CoRN-Decl/ftc/WeakIVT.ma +++ b/helm/software/matita/contribs/CoRN-Decl/ftc/WeakIVT.ma @@ -16,7 +16,7 @@ set "baseuri" "cic:/matita/CoRN-Decl/ftc/WeakIVT". -include "CoRN_notation.ma". +include "CoRN.ma". (* $Id: WeakIVT.v,v 1.9 2004/04/23 10:01:01 lcf Exp $ *) @@ -24,6 +24,10 @@ include "CoRN_notation.ma". (* begin hide *) +(* NOTATION +Infix "**" := prodT (at level 20). +*) + (* end hide *) include "ftc/Continuity.ma". @@ -40,24 +44,24 @@ will prove them here. *) (* UNEXPORTED -Section Lemma1. +Section Lemma1 *) -inline "cic:/CoRN/ftc/WeakIVT/a.var". +inline "cic:/CoRN/ftc/WeakIVT/Lemma1/a.var" "Lemma1__". -inline "cic:/CoRN/ftc/WeakIVT/b.var". +inline "cic:/CoRN/ftc/WeakIVT/Lemma1/b.var" "Lemma1__". -inline "cic:/CoRN/ftc/WeakIVT/Hab.var". +inline "cic:/CoRN/ftc/WeakIVT/Lemma1/Hab.var" "Lemma1__". (* begin hide *) -inline "cic:/CoRN/ftc/WeakIVT/I.con". +inline "cic:/CoRN/ftc/WeakIVT/Lemma1/I.con" "Lemma1__". (* end hide *) -inline "cic:/CoRN/ftc/WeakIVT/F.var". +inline "cic:/CoRN/ftc/WeakIVT/Lemma1/F.var" "Lemma1__". -inline "cic:/CoRN/ftc/WeakIVT/contF.var". +inline "cic:/CoRN/ftc/WeakIVT/Lemma1/contF.var" "Lemma1__". (*#* **First Lemmas @@ -73,28 +77,28 @@ enough to [z]. inline "cic:/CoRN/ftc/WeakIVT/Weak_IVT_ap_lft.con". (* UNEXPORTED -End Lemma1. +End Lemma1 *) (* UNEXPORTED -Section Lemma2. +Section Lemma2 *) -inline "cic:/CoRN/ftc/WeakIVT/a.var". +inline "cic:/CoRN/ftc/WeakIVT/Lemma2/a.var" "Lemma2__". -inline "cic:/CoRN/ftc/WeakIVT/b.var". +inline "cic:/CoRN/ftc/WeakIVT/Lemma2/b.var" "Lemma2__". -inline "cic:/CoRN/ftc/WeakIVT/Hab.var". +inline "cic:/CoRN/ftc/WeakIVT/Lemma2/Hab.var" "Lemma2__". (* begin hide *) -inline "cic:/CoRN/ftc/WeakIVT/I.con". +inline "cic:/CoRN/ftc/WeakIVT/Lemma2/I.con" "Lemma2__". (* end hide *) -inline "cic:/CoRN/ftc/WeakIVT/F.var". +inline "cic:/CoRN/ftc/WeakIVT/Lemma2/F.var" "Lemma2__". -inline "cic:/CoRN/ftc/WeakIVT/contF.var". +inline "cic:/CoRN/ftc/WeakIVT/Lemma2/contF.var" "Lemma2__". (*#* If [f(b) [<] f(a)], a similar result holds: @@ -103,11 +107,11 @@ If [f(b) [<] f(a)], a similar result holds: inline "cic:/CoRN/ftc/WeakIVT/Weak_IVT_ap_rht.con". (* UNEXPORTED -End Lemma2. +End Lemma2 *) (* UNEXPORTED -Section IVT. +Section IVT *) (*#* **The IVT @@ -118,53 +122,53 @@ these assumptions, we can build two sequences of values which converge to [x0] such that [f(x0) [=] z]. *) -inline "cic:/CoRN/ftc/WeakIVT/a.var". +inline "cic:/CoRN/ftc/WeakIVT/IVT/a.var" "IVT__". -inline "cic:/CoRN/ftc/WeakIVT/b.var". +inline "cic:/CoRN/ftc/WeakIVT/IVT/b.var" "IVT__". -inline "cic:/CoRN/ftc/WeakIVT/Hab'.var". +inline "cic:/CoRN/ftc/WeakIVT/IVT/Hab'.var" "IVT__". -inline "cic:/CoRN/ftc/WeakIVT/Hab.var". +inline "cic:/CoRN/ftc/WeakIVT/IVT/Hab.var" "IVT__". (* begin hide *) -inline "cic:/CoRN/ftc/WeakIVT/I.con". +inline "cic:/CoRN/ftc/WeakIVT/IVT/I.con" "IVT__". (* end hide *) -inline "cic:/CoRN/ftc/WeakIVT/F.var". +inline "cic:/CoRN/ftc/WeakIVT/IVT/F.var" "IVT__". -inline "cic:/CoRN/ftc/WeakIVT/contF.var". +inline "cic:/CoRN/ftc/WeakIVT/IVT/contF.var" "IVT__". (* begin hide *) -inline "cic:/CoRN/ftc/WeakIVT/incF.con". +inline "cic:/CoRN/ftc/WeakIVT/IVT/incF.con" "IVT__". (* end hide *) (* begin show *) -inline "cic:/CoRN/ftc/WeakIVT/incrF.var". +inline "cic:/CoRN/ftc/WeakIVT/IVT/incrF.var" "IVT__". (* end show *) (* begin hide *) -inline "cic:/CoRN/ftc/WeakIVT/Ha.con". +inline "cic:/CoRN/ftc/WeakIVT/IVT/Ha.con" "IVT__". -inline "cic:/CoRN/ftc/WeakIVT/Hb.con". +inline "cic:/CoRN/ftc/WeakIVT/IVT/Hb.con" "IVT__". -inline "cic:/CoRN/ftc/WeakIVT/HFab'.con". +inline "cic:/CoRN/ftc/WeakIVT/IVT/HFab'.con" "IVT__". (* end hide *) (* begin show *) -inline "cic:/CoRN/ftc/WeakIVT/z.var". +inline "cic:/CoRN/ftc/WeakIVT/IVT/z.var" "IVT__". -inline "cic:/CoRN/ftc/WeakIVT/Haz.var". +inline "cic:/CoRN/ftc/WeakIVT/IVT/Haz.var" "IVT__". -inline "cic:/CoRN/ftc/WeakIVT/Hzb.var". +inline "cic:/CoRN/ftc/WeakIVT/IVT/Hzb.var" "IVT__". (* end show *) @@ -217,9 +221,9 @@ inline "cic:/CoRN/ftc/WeakIVT/a_seq_Cauchy.con". inline "cic:/CoRN/ftc/WeakIVT/b_seq_Cauchy.con". -inline "cic:/CoRN/ftc/WeakIVT/xa.con". +inline "cic:/CoRN/ftc/WeakIVT/IVT/xa.con" "IVT__". -inline "cic:/CoRN/ftc/WeakIVT/xb.con". +inline "cic:/CoRN/ftc/WeakIVT/IVT/xb.con" "IVT__". inline "cic:/CoRN/ftc/WeakIVT/a_seq_b_seq_lim.con". @@ -228,6 +232,6 @@ inline "cic:/CoRN/ftc/WeakIVT/xa_in_interval.con". inline "cic:/CoRN/ftc/WeakIVT/IVT_I.con". (* UNEXPORTED -End IVT. +End IVT *)