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4 (* ||A|| A project by Andrea Asperti *)
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15 (* This file was automatically generated: do not edit *********************)
19 (* $Id: Zring.v,v 1.6 2004/04/08 08:20:34 lcf Exp $ *)
21 include "model/abgroups/Zabgroup.ma".
23 include "algebra/CRings.ma".
25 (*#* **Example of a ring: $\langle$#⟨#[Z],[[+]],[[*]]$\rangle$#⟩#
27 The multiplication and the addition are distributive.
30 inline procedural "cic:/CoRN/model/rings/Zring/Z_mult_plus_is_dist.con" as lemma.
32 inline procedural "cic:/CoRN/model/rings/Zring/Z_is_CRing.con" as definition.
34 inline procedural "cic:/CoRN/model/rings/Zring/Z_as_CRing.con" as definition.
36 (*#* The term [Z_as_CRing] is of type [CRing]. Hence we have proven that [Z] is a constructive ring. *)