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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 *)
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15 (* This file was automatically generated: do not edit *********************)
17 set "baseuri" "cic:/matita/CoRN-Decl/model/rings/Qring".
19 (* $Id: Qring.v,v 1.8 2004/04/23 10:01:03 lcf Exp $ *)
33 (*#* **Example of a ring: $\langle$#⟨#[Q],[[+]],[[*]]$\rangle$#⟩#
34 Because [Q] forms an abelian group with addition, a monoid with
35 multiplication and it satisfies the distributive law, it is a ring.
38 inline cic:/CoRN/model/rings/Qring/Q_mult_plus_is_dist.con.
40 inline cic:/CoRN/model/rings/Qring/Q_is_CRing.con.
42 inline cic:/CoRN/model/rings/Qring/Q_as_CRing.con.
44 (*#* The following lemmas are used in the proof that [Q] is Archimeadian.
47 inline cic:/CoRN/model/rings/Qring/injz_Nring.con.
49 inline cic:/CoRN/model/rings/Qring/injZ_eq.con.
55 inline cic:/CoRN/model/rings/Qring/nring_Q.con.