X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fcontribs%2FCoRN-Decl%2Fmodel%2Frings%2FQring.ma;fp=matita%2Fcontribs%2FCoRN-Decl%2Fmodel%2Frings%2FQring.ma;h=5a1723d1ccd95e6777b97d2ae5d245729eb8478f;hp=0000000000000000000000000000000000000000;hb=f61af501fb4608cc4fb062a0864c774e677f0d76;hpb=58ae1809c352e71e7b5530dc41e2bfc834e1aef1 diff --git a/matita/contribs/CoRN-Decl/model/rings/Qring.ma b/matita/contribs/CoRN-Decl/model/rings/Qring.ma new file mode 100644 index 000000000..5a1723d1c --- /dev/null +++ b/matita/contribs/CoRN-Decl/model/rings/Qring.ma @@ -0,0 +1,48 @@ +(**************************************************************************) +(* ___ *) +(* ||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". +