set "baseuri" "cic:/matita/CoRN-Decl/ftc/StrongIVT".
+include "CoRN.ma".
+
(* $Id: StrongIVT.v,v 1.5 2004/04/23 10:01:01 lcf Exp $ *)
-(* INCLUDE
-WeakIVT
-*)
+include "ftc/WeakIVT.ma".
-(* INCLUDE
-CalculusTheorems
-*)
+include "ftc/CalculusTheorems.ma".
(* UNEXPORTED
-Section IVT'.
+Section IVT'
*)
(*#* ** Strong IVT for partial functions
The same notations and conventions apply as before.
*)
-inline cic:/CoRN/ftc/StrongIVT/a.var.
+alias id "a" = "cic:/CoRN/ftc/StrongIVT/IVT'/a.var".
-inline cic:/CoRN/ftc/StrongIVT/b.var.
+alias id "b" = "cic:/CoRN/ftc/StrongIVT/IVT'/b.var".
-inline cic:/CoRN/ftc/StrongIVT/Hab'.var.
+alias id "Hab'" = "cic:/CoRN/ftc/StrongIVT/IVT'/Hab'.var".
-inline cic:/CoRN/ftc/StrongIVT/Hab.var.
+alias id "Hab" = "cic:/CoRN/ftc/StrongIVT/IVT'/Hab.var".
(* begin hide *)
-inline cic:/CoRN/ftc/StrongIVT/I.con.
+inline "cic:/CoRN/ftc/StrongIVT/IVT'/I.con" "IVT'__".
-inline cic:/CoRN/ftc/StrongIVT/I'.con.
+inline "cic:/CoRN/ftc/StrongIVT/IVT'/I'.con" "IVT'__".
(* end hide *)
-inline cic:/CoRN/ftc/StrongIVT/F.var.
+alias id "F" = "cic:/CoRN/ftc/StrongIVT/IVT'/F.var".
-inline cic:/CoRN/ftc/StrongIVT/contF.var.
+alias id "contF" = "cic:/CoRN/ftc/StrongIVT/IVT'/contF.var".
(* begin hide *)
-inline cic:/CoRN/ftc/StrongIVT/incF.con.
+inline "cic:/CoRN/ftc/StrongIVT/IVT'/incF.con" "IVT'__".
(* end hide *)
(* begin show *)
-inline cic:/CoRN/ftc/StrongIVT/incrF.var.
+alias id "incrF" = "cic:/CoRN/ftc/StrongIVT/IVT'/incrF.var".
(* end show *)
(* begin hide *)
-inline cic:/CoRN/ftc/StrongIVT/Ha.con.
+inline "cic:/CoRN/ftc/StrongIVT/IVT'/Ha.con" "IVT'__".
-inline cic:/CoRN/ftc/StrongIVT/Hb.con.
+inline "cic:/CoRN/ftc/StrongIVT/IVT'/Hb.con" "IVT'__".
-inline cic:/CoRN/ftc/StrongIVT/HFab'.con.
+inline "cic:/CoRN/ftc/StrongIVT/IVT'/HFab'.con" "IVT'__".
(* end hide *)
(* begin show *)
-inline cic:/CoRN/ftc/StrongIVT/z.var.
+alias id "z" = "cic:/CoRN/ftc/StrongIVT/IVT'/z.var".
-inline cic:/CoRN/ftc/StrongIVT/Haz.var.
+alias id "Haz" = "cic:/CoRN/ftc/StrongIVT/IVT'/Haz.var".
-inline cic:/CoRN/ftc/StrongIVT/Hzb.var.
+alias id "Hzb" = "cic:/CoRN/ftc/StrongIVT/IVT'/Hzb.var".
(* end show *)
-inline cic:/CoRN/ftc/StrongIVT/IVT'_seq_lemma.con.
+inline "cic:/CoRN/ftc/StrongIVT/IVT'_seq_lemma.con".
(* end hide *)
-inline cic:/CoRN/ftc/StrongIVT/IVT'_aux_seq_type.ind.
+inline "cic:/CoRN/ftc/StrongIVT/IVT'_aux_seq_type.ind".
-inline cic:/CoRN/ftc/StrongIVT/IVT'_iter.con.
+inline "cic:/CoRN/ftc/StrongIVT/IVT'_iter.con".
-inline cic:/CoRN/ftc/StrongIVT/IVT'_seq.con.
+inline "cic:/CoRN/ftc/StrongIVT/IVT'_seq.con".
-inline cic:/CoRN/ftc/StrongIVT/a'_seq.con.
+inline "cic:/CoRN/ftc/StrongIVT/a'_seq.con".
-inline cic:/CoRN/ftc/StrongIVT/b'_seq.con.
+inline "cic:/CoRN/ftc/StrongIVT/b'_seq.con".
-inline cic:/CoRN/ftc/StrongIVT/a'_seq_I.con.
+inline "cic:/CoRN/ftc/StrongIVT/a'_seq_I.con".
-inline cic:/CoRN/ftc/StrongIVT/b'_seq_I.con.
+inline "cic:/CoRN/ftc/StrongIVT/b'_seq_I.con".
-inline cic:/CoRN/ftc/StrongIVT/a'_seq_less_b'_seq.con.
+inline "cic:/CoRN/ftc/StrongIVT/a'_seq_less_b'_seq.con".
-inline cic:/CoRN/ftc/StrongIVT/a'_seq_less_z.con.
+inline "cic:/CoRN/ftc/StrongIVT/a'_seq_less_z.con".
-inline cic:/CoRN/ftc/StrongIVT/z_less_b'_seq.con.
+inline "cic:/CoRN/ftc/StrongIVT/z_less_b'_seq.con".
-inline cic:/CoRN/ftc/StrongIVT/a'_seq_mon.con.
+inline "cic:/CoRN/ftc/StrongIVT/a'_seq_mon.con".
-inline cic:/CoRN/ftc/StrongIVT/b'_seq_mon.con.
+inline "cic:/CoRN/ftc/StrongIVT/b'_seq_mon.con".
-inline cic:/CoRN/ftc/StrongIVT/a'_seq_b'_seq_dist_n.con.
+inline "cic:/CoRN/ftc/StrongIVT/a'_seq_b'_seq_dist_n.con".
-inline cic:/CoRN/ftc/StrongIVT/a'_seq_b'_seq_dist.con.
+inline "cic:/CoRN/ftc/StrongIVT/a'_seq_b'_seq_dist.con".
-inline cic:/CoRN/ftc/StrongIVT/a'_seq_Cauchy.con.
+inline "cic:/CoRN/ftc/StrongIVT/a'_seq_Cauchy.con".
-inline cic:/CoRN/ftc/StrongIVT/b'_seq_Cauchy.con.
+inline "cic:/CoRN/ftc/StrongIVT/b'_seq_Cauchy.con".
-inline cic:/CoRN/ftc/StrongIVT/xa.con.
+inline "cic:/CoRN/ftc/StrongIVT/IVT'/xa.con" "IVT'__".
-inline cic:/CoRN/ftc/StrongIVT/xb.con.
+inline "cic:/CoRN/ftc/StrongIVT/IVT'/xb.con" "IVT'__".
-inline cic:/CoRN/ftc/StrongIVT/a'_seq_b'_seq_lim.con.
+inline "cic:/CoRN/ftc/StrongIVT/a'_seq_b'_seq_lim.con".
-inline cic:/CoRN/ftc/StrongIVT/xa'_in_interval.con.
+inline "cic:/CoRN/ftc/StrongIVT/xa'_in_interval.con".
-inline cic:/CoRN/ftc/StrongIVT/IVT'_I.con.
+inline "cic:/CoRN/ftc/StrongIVT/IVT'_I.con".
(* UNEXPORTED
-End IVT'.
+End IVT'
*)
(*#* **Other formulations
theorem to more widely applicable forms.
*)
-inline cic:/CoRN/ftc/StrongIVT/Weak_IVT.con.
+inline "cic:/CoRN/ftc/StrongIVT/Weak_IVT.con".
-inline cic:/CoRN/ftc/StrongIVT/IVT_inc.con.
+inline "cic:/CoRN/ftc/StrongIVT/IVT_inc.con".
(* UNEXPORTED
Transparent Min.
*)
-inline cic:/CoRN/ftc/StrongIVT/IVT_dec.con.
+inline "cic:/CoRN/ftc/StrongIVT/IVT_dec.con".
-inline cic:/CoRN/ftc/StrongIVT/IVT'_inc.con.
+inline "cic:/CoRN/ftc/StrongIVT/IVT'_inc.con".
(* UNEXPORTED
Transparent Min.
*)
-inline cic:/CoRN/ftc/StrongIVT/IVT'_dec.con.
+inline "cic:/CoRN/ftc/StrongIVT/IVT'_dec.con".