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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/Zring".
21 (* $Id: Zring.v,v 1.6 2004/04/08 08:20:34 lcf Exp $ *)
23 include "model/abgroups/Zabgroup.ma".
25 include "algebra/CRings.ma".
27 (*#* **Example of a ring: $\langle$#⟨#[Z],[[+]],[[*]]$\rangle$#⟩#
29 The multiplication and the addition are distributive.
32 inline "cic:/CoRN/model/rings/Zring/Z_mult_plus_is_dist.con".
34 inline "cic:/CoRN/model/rings/Zring/Z_is_CRing.con".
36 inline "cic:/CoRN/model/rings/Zring/Z_as_CRing.con".
38 (*#* The term [Z_as_CRing] is of type [CRing]. Hence we have proven that [Z] is a constructive ring. *)