X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fcontribs%2FCoRN-Decl%2Fftc%2FWeakIVT.ma;h=e22afe085688b11ea956ed33d50ef2d242a7fbac;hb=2951babfd31047ac057714130157da2bc36e906e;hp=3e49ac89d1bc4099647e9a0b5339cfd41c4f6c11;hpb=94873bb61a663b4fca3dc6d07b7bb9f42122003e;p=helm.git diff --git a/matita/contribs/CoRN-Decl/ftc/WeakIVT.ma b/matita/contribs/CoRN-Decl/ftc/WeakIVT.ma index 3e49ac89d..e22afe085 100644 --- a/matita/contribs/CoRN-Decl/ftc/WeakIVT.ma +++ b/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". +alias id "a" = "cic:/CoRN/ftc/WeakIVT/Lemma1/a.var". -inline "cic:/CoRN/ftc/WeakIVT/b.var". +alias id "b" = "cic:/CoRN/ftc/WeakIVT/Lemma1/b.var". -inline "cic:/CoRN/ftc/WeakIVT/Hab.var". +alias id "Hab" = "cic:/CoRN/ftc/WeakIVT/Lemma1/Hab.var". (* 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". +alias id "F" = "cic:/CoRN/ftc/WeakIVT/Lemma1/F.var". -inline "cic:/CoRN/ftc/WeakIVT/contF.var". +alias id "contF" = "cic:/CoRN/ftc/WeakIVT/Lemma1/contF.var". (*#* **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". +alias id "a" = "cic:/CoRN/ftc/WeakIVT/Lemma2/a.var". -inline "cic:/CoRN/ftc/WeakIVT/b.var". +alias id "b" = "cic:/CoRN/ftc/WeakIVT/Lemma2/b.var". -inline "cic:/CoRN/ftc/WeakIVT/Hab.var". +alias id "Hab" = "cic:/CoRN/ftc/WeakIVT/Lemma2/Hab.var". (* 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". +alias id "F" = "cic:/CoRN/ftc/WeakIVT/Lemma2/F.var". -inline "cic:/CoRN/ftc/WeakIVT/contF.var". +alias id "contF" = "cic:/CoRN/ftc/WeakIVT/Lemma2/contF.var". (*#* 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". +alias id "a" = "cic:/CoRN/ftc/WeakIVT/IVT/a.var". -inline "cic:/CoRN/ftc/WeakIVT/b.var". +alias id "b" = "cic:/CoRN/ftc/WeakIVT/IVT/b.var". -inline "cic:/CoRN/ftc/WeakIVT/Hab'.var". +alias id "Hab'" = "cic:/CoRN/ftc/WeakIVT/IVT/Hab'.var". -inline "cic:/CoRN/ftc/WeakIVT/Hab.var". +alias id "Hab" = "cic:/CoRN/ftc/WeakIVT/IVT/Hab.var". (* 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". +alias id "F" = "cic:/CoRN/ftc/WeakIVT/IVT/F.var". -inline "cic:/CoRN/ftc/WeakIVT/contF.var". +alias id "contF" = "cic:/CoRN/ftc/WeakIVT/IVT/contF.var". (* 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". +alias id "incrF" = "cic:/CoRN/ftc/WeakIVT/IVT/incrF.var". (* 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". +alias id "z" = "cic:/CoRN/ftc/WeakIVT/IVT/z.var". -inline "cic:/CoRN/ftc/WeakIVT/Haz.var". +alias id "Haz" = "cic:/CoRN/ftc/WeakIVT/IVT/Haz.var". -inline "cic:/CoRN/ftc/WeakIVT/Hzb.var". +alias id "Hzb" = "cic:/CoRN/ftc/WeakIVT/IVT/Hzb.var". (* 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 *)