X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fcontribs%2FCoRN-Decl%2Ffta%2FKneserLemma.ma;fp=matita%2Fcontribs%2FCoRN-Decl%2Ffta%2FKneserLemma.ma;h=66d4a7500b6a4448294f88e9ccfad7e6ae33e5b0;hp=0000000000000000000000000000000000000000;hb=f61af501fb4608cc4fb062a0864c774e677f0d76;hpb=58ae1809c352e71e7b5530dc41e2bfc834e1aef1 diff --git a/matita/contribs/CoRN-Decl/fta/KneserLemma.ma b/matita/contribs/CoRN-Decl/fta/KneserLemma.ma new file mode 100644 index 000000000..66d4a7500 --- /dev/null +++ b/matita/contribs/CoRN-Decl/fta/KneserLemma.ma @@ -0,0 +1,145 @@ +(**************************************************************************) +(* ___ *) +(* ||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/fta/KneserLemma". + +include "CoRN.ma". + +(* $Id: KneserLemma.v,v 1.7 2004/04/23 10:00:57 lcf Exp $ *) + +(*#* printing Smallest %\ensuremath{\frac13^{2n^2+n}}% *) + +(*#* printing eta_0 %\ensuremath{\eta_0}% #η0# *) + +include "complex/NRootCC.ma". + +include "complex/AbsCC.ma". + +include "fta/MainLemma.ma". + +(*#* ** Kneser Lemma *) + +(* UNEXPORTED +Section Kneser_Lemma +*) + +(*#* +%\begin{convention}% Let [b : nat->CC], [n : nat] and [c : IR] +such that [0 < n], [b_0 := b 0], [b_n := (b n) [=] One] and +[(AbsCC b_0) [<] c]. +%\end{convention}% +*) + +alias id "b" = "cic:/CoRN/fta/KneserLemma/Kneser_Lemma/b.var". + +alias id "n" = "cic:/CoRN/fta/KneserLemma/Kneser_Lemma/n.var". + +alias id "gt_n_0" = "cic:/CoRN/fta/KneserLemma/Kneser_Lemma/gt_n_0.var". + +(* begin hide *) + +inline "cic:/CoRN/fta/KneserLemma/Kneser_Lemma/b_0.con" "Kneser_Lemma__". + +inline "cic:/CoRN/fta/KneserLemma/Kneser_Lemma/b_n.con" "Kneser_Lemma__". + +(* end hide *) + +alias id "b_n_1" = "cic:/CoRN/fta/KneserLemma/Kneser_Lemma/b_n_1.var". + +alias id "c" = "cic:/CoRN/fta/KneserLemma/Kneser_Lemma/c.var". + +alias id "b_0_lt_c" = "cic:/CoRN/fta/KneserLemma/Kneser_Lemma/b_0_lt_c.var". + +(*#* +%\begin{convention}% We define the following local abbreviations: + - [two_n := 2 * n] + - [Small := p3m n] + - [Smaller := p3m (two_n * n)] + - [Smallest := Small[*]Smaller] + - [q := One[-]Smallest] + - [a i := AbsCC (b i)] + +%\end{convention}% +*) + +(* begin hide *) + +inline "cic:/CoRN/fta/KneserLemma/Kneser_Lemma/two_n.con" "Kneser_Lemma__". + +inline "cic:/CoRN/fta/KneserLemma/Kneser_Lemma/Small.con" "Kneser_Lemma__". + +inline "cic:/CoRN/fta/KneserLemma/Kneser_Lemma/Smaller.con" "Kneser_Lemma__". + +inline "cic:/CoRN/fta/KneserLemma/Kneser_Lemma/Smallest.con" "Kneser_Lemma__". + +inline "cic:/CoRN/fta/KneserLemma/Kneser_Lemma/q.con" "Kneser_Lemma__". + +(* end hide *) + +inline "cic:/CoRN/fta/KneserLemma/b_0'_exists.con". + +inline "cic:/CoRN/fta/KneserLemma/Kneser_Lemma/eta_0.con" "Kneser_Lemma__". + +inline "cic:/CoRN/fta/KneserLemma/eta_0_pos.con". + +inline "cic:/CoRN/fta/KneserLemma/eta_exists.con". + +inline "cic:/CoRN/fta/KneserLemma/eps_exists_1.con". + +(* less_cotransitive_unfolded on + {Zero [<] y[/]x[//]H3[-]Half[*]eps} + + {y[/]x[//]H3[-]Half[*]eps [<] Half[*]eps}. *) + +inline "cic:/CoRN/fta/KneserLemma/eps_exists.con". + +(* begin hide *) + +inline "cic:/CoRN/fta/KneserLemma/Kneser_Lemma/a.con" "Kneser_Lemma__". + +(* end hide *) + +inline "cic:/CoRN/fta/KneserLemma/z_exists.con". + +(* end hide *) + +inline "cic:/CoRN/fta/KneserLemma/Kneser_1'.con". + +inline "cic:/CoRN/fta/KneserLemma/Kneser_1''.con". + +inline "cic:/CoRN/fta/KneserLemma/Kneser_1.con". + +inline "cic:/CoRN/fta/KneserLemma/Kneser_2a.con". + +inline "cic:/CoRN/fta/KneserLemma/Kneser_2b.con". + +(* end hide *) + +inline "cic:/CoRN/fta/KneserLemma/Kneser_2c.con". + +(* end hide *) + +inline "cic:/CoRN/fta/KneserLemma/Kneser_2.con". + +(* end hide *) + +inline "cic:/CoRN/fta/KneserLemma/Kneser_3.con". + +(* UNEXPORTED +End Kneser_Lemma +*) + +inline "cic:/CoRN/fta/KneserLemma/Kneser.con". +