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 $ *)
(* begin hide *)
+(* NOTATION
+Infix "**" := prodT (at level 20).
+*)
+
(* end hide *)
include "ftc/Continuity.ma".
*)
(* 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
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:
inline "cic:/CoRN/ftc/WeakIVT/Weak_IVT_ap_rht.con".
(* UNEXPORTED
-End Lemma2.
+End Lemma2
*)
(* UNEXPORTED
-Section IVT.
+Section IVT
*)
(*#* **The IVT
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 *)
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".
inline "cic:/CoRN/ftc/WeakIVT/IVT_I.con".
(* UNEXPORTED
-End IVT.
+End IVT
*)