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[helm.git] / matita / contribs / CoRN-Decl / fta / MainLemma.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/MainLemma".
+
+include "CoRN.ma".
+
+(* $Id: MainLemma.v,v 1.3 2004/04/23 10:00:57 lcf Exp $ *)
+
+(*#* printing two_n %\ensuremath{2n}% #2n# *)
+
+(*#* printing Small %\ensuremath{\frac13^n}% *)
+
+(*#* printing Smaller %\ensuremath{\frac13^{2n^2}}% *)
+
+include "reals/CSumsReals.ma".
+
+include "fta/KeyLemma.ma".
+
+(*#* ** Main Lemma
+*)
+
+(* UNEXPORTED
+Section Main_Lemma
+*)
+
+(*#*
+%\begin{convention}%
+Let [a : nat->IR], [n : nat], [a_0 : IR]  and [eps : IR] such that [0 < n],
+[(Zero [<] eps)], [forall (k : nat)(Zero [<=] (a k))], [(a n) [=] One], and
+[(eps [<=] a_0)].
+%\end{convention}%
+*)
+
+alias id "a" = "cic:/CoRN/fta/MainLemma/Main_Lemma/a.var".
+
+alias id "n" = "cic:/CoRN/fta/MainLemma/Main_Lemma/n.var".
+
+alias id "gt_n_0" = "cic:/CoRN/fta/MainLemma/Main_Lemma/gt_n_0.var".
+
+alias id "eps" = "cic:/CoRN/fta/MainLemma/Main_Lemma/eps.var".
+
+alias id "eps_pos" = "cic:/CoRN/fta/MainLemma/Main_Lemma/eps_pos.var".
+
+alias id "a_nonneg" = "cic:/CoRN/fta/MainLemma/Main_Lemma/a_nonneg.var".
+
+alias id "a_n_1" = "cic:/CoRN/fta/MainLemma/Main_Lemma/a_n_1.var".
+
+alias id "a_0" = "cic:/CoRN/fta/MainLemma/Main_Lemma/a_0.var".
+
+alias id "eps_le_a_0" = "cic:/CoRN/fta/MainLemma/Main_Lemma/eps_le_a_0.var".
+
+inline "cic:/CoRN/fta/MainLemma/a_0_pos.con".
+
+(*#* 
+%\begin{convention}% We define the following local abbreviations:
+ - [two_n := 2 * n]
+ - [Small := p3m n]
+ - [Smaller := p3m (two_n * n)]
+
+%\end{convention}%
+*)
+
+(* begin hide *)
+
+inline "cic:/CoRN/fta/MainLemma/Main_Lemma/two_n.con" "Main_Lemma__".
+
+inline "cic:/CoRN/fta/MainLemma/Main_Lemma/Small.con" "Main_Lemma__".
+
+inline "cic:/CoRN/fta/MainLemma/Main_Lemma/Smaller.con" "Main_Lemma__".
+
+(* end hide *)
+
+inline "cic:/CoRN/fta/MainLemma/Main_1a'.con".
+
+(* end hide *)
+
+inline "cic:/CoRN/fta/MainLemma/Main_1b'.con".
+
+(* end hide *)
+
+inline "cic:/CoRN/fta/MainLemma/Main_1a.con".
+
+(* end hide *)
+
+inline "cic:/CoRN/fta/MainLemma/Main_1b.con".
+
+(* end hide *)
+
+inline "cic:/CoRN/fta/MainLemma/Main_1.con".
+
+(* end hide *)
+
+inline "cic:/CoRN/fta/MainLemma/Main_2'.con".
+
+inline "cic:/CoRN/fta/MainLemma/Main_2.con".
+
+(* end hide *)
+
+inline "cic:/CoRN/fta/MainLemma/Main_3a.con".
+
+(* end hide *)
+
+inline "cic:/CoRN/fta/MainLemma/Main_3.con".
+
+(* end hide *)
+
+inline "cic:/CoRN/fta/MainLemma/Main.con".
+
+(* end hide *)
+
+(* UNEXPORTED
+End Main_Lemma
+*)
+