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[helm.git] / helm / software / matita / contribs / CoRN-Decl / fta / KneserLemma.ma
diff --git a/helm/software/matita/contribs/CoRN-Decl/fta/KneserLemma.ma b/helm/software/matita/contribs/CoRN-Decl/fta/KneserLemma.ma
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+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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".
+
+(* $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}% #&eta;<SUB>0</SUB># *)
+
+(* INCLUDE
+NRootCC
+*)
+
+(* INCLUDE
+AbsCC
+*)
+
+(* INCLUDE
+MainLemma
+*)
+
+(*#* ** 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}%
+*)
+
+inline cic:/CoRN/fta/KneserLemma/b.var.
+
+inline cic:/CoRN/fta/KneserLemma/n.var.
+
+inline cic:/CoRN/fta/KneserLemma/gt_n_0.var.
+
+(* begin hide *)
+
+inline cic:/CoRN/fta/KneserLemma/b_0.con.
+
+inline cic:/CoRN/fta/KneserLemma/b_n.con.
+
+(* end hide *)
+
+inline cic:/CoRN/fta/KneserLemma/b_n_1.var.
+
+inline cic:/CoRN/fta/KneserLemma/c.var.
+
+inline cic:/CoRN/fta/KneserLemma/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/two_n.con.
+
+inline cic:/CoRN/fta/KneserLemma/Small.con.
+
+inline cic:/CoRN/fta/KneserLemma/Smaller.con.
+
+inline cic:/CoRN/fta/KneserLemma/Smallest.con.
+
+inline cic:/CoRN/fta/KneserLemma/q.con.
+
+(* end hide *)
+
+inline cic:/CoRN/fta/KneserLemma/b_0'_exists.con.
+
+inline cic:/CoRN/fta/KneserLemma/eta_0.con.
+
+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/a.con.
+
+(* 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.
+