X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fcontribs%2FCoRN-Decl%2Fftc%2FStrongIVT.ma;fp=matita%2Fcontribs%2FCoRN-Decl%2Fftc%2FStrongIVT.ma;h=fd99ff05a3e293c0b9f998c30b3a4ab165e51ece;hp=0000000000000000000000000000000000000000;hb=f61af501fb4608cc4fb062a0864c774e677f0d76;hpb=58ae1809c352e71e7b5530dc41e2bfc834e1aef1 diff --git a/matita/contribs/CoRN-Decl/ftc/StrongIVT.ma b/matita/contribs/CoRN-Decl/ftc/StrongIVT.ma new file mode 100644 index 000000000..fd99ff05a --- /dev/null +++ b/matita/contribs/CoRN-Decl/ftc/StrongIVT.ma @@ -0,0 +1,164 @@ +(**************************************************************************) +(* ___ *) +(* ||M|| *) +(* ||A|| A project by Andrea Asperti *) +(* ||T|| *) +(* ||I|| Developers: *) +(* ||T|| The HELM team. *) +(* ||A|| http://helm.cs.unibo.it *) +(* \ / *) +(* \ / This file is distributed under the terms of the *) +(* v GNU General Public License Version 2 *) +(* *) +(**************************************************************************) + +(* This file was automatically generated: do not edit *********************) + +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 "ftc/WeakIVT.ma". + +include "ftc/CalculusTheorems.ma". + +(* UNEXPORTED +Section IVT' +*) + +(*#* ** Strong IVT for partial functions + +The IVT can be generalized to arbitrary partial functions; in the first +part, we will simply do that, repeating the previous construction. + +The same notations and conventions apply as before. +*) + +alias id "a" = "cic:/CoRN/ftc/StrongIVT/IVT'/a.var". + +alias id "b" = "cic:/CoRN/ftc/StrongIVT/IVT'/b.var". + +alias id "Hab'" = "cic:/CoRN/ftc/StrongIVT/IVT'/Hab'.var". + +alias id "Hab" = "cic:/CoRN/ftc/StrongIVT/IVT'/Hab.var". + +(* begin hide *) + +inline "cic:/CoRN/ftc/StrongIVT/IVT'/I.con" "IVT'__". + +inline "cic:/CoRN/ftc/StrongIVT/IVT'/I'.con" "IVT'__". + +(* end hide *) + +alias id "F" = "cic:/CoRN/ftc/StrongIVT/IVT'/F.var". + +alias id "contF" = "cic:/CoRN/ftc/StrongIVT/IVT'/contF.var". + +(* begin hide *) + +inline "cic:/CoRN/ftc/StrongIVT/IVT'/incF.con" "IVT'__". + +(* end hide *) + +(* begin show *) + +alias id "incrF" = "cic:/CoRN/ftc/StrongIVT/IVT'/incrF.var". + +(* end show *) + +(* begin hide *) + +inline "cic:/CoRN/ftc/StrongIVT/IVT'/Ha.con" "IVT'__". + +inline "cic:/CoRN/ftc/StrongIVT/IVT'/Hb.con" "IVT'__". + +inline "cic:/CoRN/ftc/StrongIVT/IVT'/HFab'.con" "IVT'__". + +(* end hide *) + +(* begin show *) + +alias id "z" = "cic:/CoRN/ftc/StrongIVT/IVT'/z.var". + +alias id "Haz" = "cic:/CoRN/ftc/StrongIVT/IVT'/Haz.var". + +alias id "Hzb" = "cic:/CoRN/ftc/StrongIVT/IVT'/Hzb.var". + +(* end show *) + +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'_iter.con". + +inline "cic:/CoRN/ftc/StrongIVT/IVT'_seq.con". + +inline "cic:/CoRN/ftc/StrongIVT/a'_seq.con". + +inline "cic:/CoRN/ftc/StrongIVT/b'_seq.con". + +inline "cic:/CoRN/ftc/StrongIVT/a'_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_z.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/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.con". + +inline "cic:/CoRN/ftc/StrongIVT/a'_seq_Cauchy.con". + +inline "cic:/CoRN/ftc/StrongIVT/b'_seq_Cauchy.con". + +inline "cic:/CoRN/ftc/StrongIVT/IVT'/xa.con" "IVT'__". + +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/xa'_in_interval.con". + +inline "cic:/CoRN/ftc/StrongIVT/IVT'_I.con". + +(* UNEXPORTED +End IVT' +*) + +(*#* **Other formulations + +We now generalize the various statements of the intermediate value +theorem to more widely applicable forms. +*) + +inline "cic:/CoRN/ftc/StrongIVT/Weak_IVT.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'_inc.con". + +(* UNEXPORTED +Transparent Min. +*) + +inline "cic:/CoRN/ftc/StrongIVT/IVT'_dec.con". +