X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fcontribs%2FCoRN-Decl%2Ffta%2FKeyLemma.ma;fp=matita%2Fcontribs%2FCoRN-Decl%2Ffta%2FKeyLemma.ma;h=e3c5ba6f34301fa41601baa6b394f58e6153d605;hp=0000000000000000000000000000000000000000;hb=f61af501fb4608cc4fb062a0864c774e677f0d76;hpb=58ae1809c352e71e7b5530dc41e2bfc834e1aef1 diff --git a/matita/contribs/CoRN-Decl/fta/KeyLemma.ma b/matita/contribs/CoRN-Decl/fta/KeyLemma.ma new file mode 100644 index 000000000..e3c5ba6f3 --- /dev/null +++ b/matita/contribs/CoRN-Decl/fta/KeyLemma.ma @@ -0,0 +1,167 @@ +(**************************************************************************) +(* ___ *) +(* ||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. +*) +