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[helm.git] / matita / contribs / CoRN-Decl / fta / KeyLemma.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/KeyLemma".
+
+include "CoRN.ma".
+
+(* $Id: KeyLemma.v,v 1.5 2004/04/23 10:00:57 lcf Exp $ *)
+
+include "reals/NRootIR.ma".
+
+(*#* printing p3m %\ensuremath{\frac13\hat{\ }}% *)
+
+(*#* printing Halfeps %\ensuremath{\frac\varepsilon2}% *)
+
+(*#* * Technical lemmas for the FTA
+** Key Lemma
+*)
+
+(* UNEXPORTED
+Section Key_Lemma
+*)
+
+(*#*
+%\begin{convention}% Let [a:nat->IR] and [n:nat] such that [0 < n],
+[forall (k : nat) (Zero [<=] (a k))], [(a n) [=] One] and [a_0 : IR],
+and [eps : IR] such that [(Zero [<] eps)] and [(eps [<=] a_0)].
+%\end{convention}%
+*)
+
+alias id "a" = "cic:/CoRN/fta/KeyLemma/Key_Lemma/a.var".
+
+alias id "n" = "cic:/CoRN/fta/KeyLemma/Key_Lemma/n.var".
+
+alias id "gt_n_0" = "cic:/CoRN/fta/KeyLemma/Key_Lemma/gt_n_0.var".
+
+alias id "eps" = "cic:/CoRN/fta/KeyLemma/Key_Lemma/eps.var".
+
+alias id "eps_pos" = "cic:/CoRN/fta/KeyLemma/Key_Lemma/eps_pos.var".
+
+alias id "a_nonneg" = "cic:/CoRN/fta/KeyLemma/Key_Lemma/a_nonneg.var".
+
+alias id "a_n_1" = "cic:/CoRN/fta/KeyLemma/Key_Lemma/a_n_1.var".
+
+alias id "a_0" = "cic:/CoRN/fta/KeyLemma/Key_Lemma/a_0.var".
+
+alias id "eps_le_a_0" = "cic:/CoRN/fta/KeyLemma/Key_Lemma/eps_le_a_0.var".
+
+inline "cic:/CoRN/fta/KeyLemma/a_0_eps_nonneg.con".
+
+inline "cic:/CoRN/fta/KeyLemma/a_0_eps_fuzz.con".
+
+inline "cic:/CoRN/fta/KeyLemma/lem_1a.con".
+
+inline "cic:/CoRN/fta/KeyLemma/lem_1b.con".
+
+inline "cic:/CoRN/fta/KeyLemma/lem_1c.con".
+
+inline "cic:/CoRN/fta/KeyLemma/lem_1.con".
+
+inline "cic:/CoRN/fta/KeyLemma/p3m.con".
+
+inline "cic:/CoRN/fta/KeyLemma/p3m_pos.con".
+
+inline "cic:/CoRN/fta/KeyLemma/p3m_S.con".
+
+(* UNEXPORTED
+Hint Resolve p3m_S: algebra.
+*)
+
+inline "cic:/CoRN/fta/KeyLemma/p3m_P.con".
+
+inline "cic:/CoRN/fta/KeyLemma/p3m_aux.con".
+
+inline "cic:/CoRN/fta/KeyLemma/p3m_pow.con".
+
+(* UNEXPORTED
+Hint Resolve p3m_aux: algebra.
+*)
+
+inline "cic:/CoRN/fta/KeyLemma/p3m_0.con".
+
+(* UNEXPORTED
+Hint Resolve p3m_0: algebra.
+*)
+
+inline "cic:/CoRN/fta/KeyLemma/third_pos.con".
+
+(* UNEXPORTED
+Hint Resolve third_pos: algebra.
+*)
+
+inline "cic:/CoRN/fta/KeyLemma/third_less_one.con".
+
+(* UNEXPORTED
+Hint Resolve third_less_one: algebra.
+*)
+
+inline "cic:/CoRN/fta/KeyLemma/p3m_mon.con".
+
+inline "cic:/CoRN/fta/KeyLemma/p3m_mon'.con".
+
+inline "cic:/CoRN/fta/KeyLemma/p3m_small.con".
+
+inline "cic:/CoRN/fta/KeyLemma/p3m_smaller.con".
+
+inline "cic:/CoRN/fta/KeyLemma/chfun.con".
+
+inline "cic:/CoRN/fta/KeyLemma/chfun_1.con".
+
+inline "cic:/CoRN/fta/KeyLemma/chfun_2.con".
+
+inline "cic:/CoRN/fta/KeyLemma/chfun_3.con".
+
+inline "cic:/CoRN/fta/KeyLemma/chfun_4.con".
+
+inline "cic:/CoRN/fta/KeyLemma/Halfeps.con".
+
+inline "cic:/CoRN/fta/KeyLemma/Halfeps_pos.con".
+
+inline "cic:/CoRN/fta/KeyLemma/Halfeps_Halfeps.con".
+
+(* UNEXPORTED
+Hint Resolve Halfeps_Halfeps: algebra.
+*)
+
+inline "cic:/CoRN/fta/KeyLemma/Halfeps_eps.con".
+
+inline "cic:/CoRN/fta/KeyLemma/Halfeps_trans.con".
+
+inline "cic:/CoRN/fta/KeyLemma/Key_1a.con".
+
+(* UNEXPORTED
+Hint Resolve Key_1a: algebra.
+*)
+
+inline "cic:/CoRN/fta/KeyLemma/Key_1b.con".
+
+inline "cic:/CoRN/fta/KeyLemma/Key_1.con".
+
+inline "cic:/CoRN/fta/KeyLemma/Key_2.con".
+
+inline "cic:/CoRN/fta/KeyLemma/Key.con".
+
+(* end hide *)
+
+(* UNEXPORTED
+End Key_Lemma
+*)
+
+(* UNEXPORTED
+Hint Resolve p3m_S p3m_P p3m_pow: algebra.
+*)
+