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[helm.git] / matita / contribs / CoRN-Decl / model / rings / Qring.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/rings/Qring".
+
+include "CoRN.ma".
+
+(* $Id: Qring.v,v 1.8 2004/04/23 10:01:03 lcf Exp $ *)
+
+include "model/abgroups/Qabgroup.ma".
+
+include "algebra/CRings.ma".
+
+include "model/rings/Zring.ma".
+
+(*#* **Example of a ring: $\langle$#⟨#[Q],[[+]],[[*]]$\rangle$#⟩#
+Because [Q] forms an abelian group with addition, a monoid with 
+multiplication and it satisfies the distributive law, it is a ring.
+*)
+
+inline "cic:/CoRN/model/rings/Qring/Q_mult_plus_is_dist.con".
+
+inline "cic:/CoRN/model/rings/Qring/Q_is_CRing.con".
+
+inline "cic:/CoRN/model/rings/Qring/Q_as_CRing.con".
+
+(*#* The following lemmas are used in the proof that [Q] is Archimeadian.
+*)
+
+inline "cic:/CoRN/model/rings/Qring/injz_Nring.con".
+
+inline "cic:/CoRN/model/rings/Qring/injZ_eq.con".
+
+inline "cic:/CoRN/model/rings/Qring/nring_Q.con".
+