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[helm.git] / matita / contribs / CoRN-Decl / model / structures / Nsec.ma

diff --git a/matita/contribs/CoRN-Decl/model/structures/Nsec.ma b/matita/contribs/CoRN-Decl/model/structures/Nsec.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/model/structures/Nsec".
+
+include "CoRN.ma".
+
+(* $Id: Nsec.v,v 1.6 2004/04/06 15:46:05 lcf Exp $ *)
+
+(*#* printing {#N} $\ensuremath{\mathrel\#_{\mathbb N}}$ *)
+
+include "algebra/CLogic.ma".
+
+(*#* *[nat]
+**About [nat]
+
+We prove some basic lemmas of the natural numbers.
+
+A variant of [0_S] from the standard library
+*)
+
+inline "cic:/CoRN/model/structures/Nsec/S_O.con".
+
+(*#* ***Apartness
+*)
+
+inline "cic:/CoRN/model/structures/Nsec/ap_nat.con".
+
+(* NOTATION
+Infix "{#N}" := ap_nat (no associativity, at level 90).
+*)
+
+inline "cic:/CoRN/model/structures/Nsec/ap_nat_irreflexive0.con".
+
+inline "cic:/CoRN/model/structures/Nsec/ap_nat_symmetric0.con".
+
+inline "cic:/CoRN/model/structures/Nsec/ap_nat_cotransitive0.con".
+
+inline "cic:/CoRN/model/structures/Nsec/ap_nat_tight0.con".
+
+(*#* ***Addition
+*)
+
+inline "cic:/CoRN/model/structures/Nsec/plus_strext0.con".
+
+(*#* There is no inverse for addition, because every candidate will fail for 2
+*)
+
+inline "cic:/CoRN/model/structures/Nsec/no_inverse0.con".
+
+(*#* ***Multiplication
+*)
+
+inline "cic:/CoRN/model/structures/Nsec/mult_strext0.con".
+