1 (**************************************************************************)
4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
10 (* \ / This file is distributed under the terms of the *)
11 (* v GNU General Public License Version 2 *)
13 (**************************************************************************)
15 (* This file was automatically generated: do not edit *********************)
19 (* $Id: Qring.v,v 1.8 2004/04/23 10:01:03 lcf Exp $ *)
21 include "model/abgroups/Qabgroup.ma".
23 include "algebra/CRings.ma".
25 include "model/rings/Zring.ma".
27 (*#* **Example of a ring: $\langle$#⟨#[Q],[[+]],[[*]]$\rangle$#⟩#
28 Because [Q] forms an abelian group with addition, a monoid with
29 multiplication and it satisfies the distributive law, it is a ring.
32 inline procedural "cic:/CoRN/model/rings/Qring/Q_mult_plus_is_dist.con" as lemma.
34 inline procedural "cic:/CoRN/model/rings/Qring/Q_is_CRing.con" as definition.
36 inline procedural "cic:/CoRN/model/rings/Qring/Q_as_CRing.con" as definition.
38 (*#* The following lemmas are used in the proof that [Q] is Archimeadian.
41 inline procedural "cic:/CoRN/model/rings/Qring/injz_Nring.con" as lemma.
43 inline procedural "cic:/CoRN/model/rings/Qring/injZ_eq.con" as lemma.
45 inline procedural "cic:/CoRN/model/rings/Qring/nring_Q.con" as lemma.