helm/software/matita/contribs/procedural/CoRN/model/rings/Zring.mma

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
   7 (*      ||T||         The HELM team.                                      *)
   8 (*      ||A||         http://helm.cs.unibo.it                             *)
   9 (*      \   /                                                             *)
  10 (*       \ /        This file is distributed under the terms of the       *)
  11 (*        v         GNU General Public License Version 2                  *)
  12 (*                                                                        *)
  13 (**************************************************************************)
  14
  15 (* This file was automatically generated: do not edit *********************)
  16
  17 include "CoRN.ma".
  18
  19 (* $Id: Zring.v,v 1.6 2004/04/08 08:20:34 lcf Exp $ *)
  20
  21 include "model/abgroups/Zabgroup.ma".
  22
  23 include "algebra/CRings.ma".
  24
  25 (*#* **Example of a ring: $\langle$#&lang;#[Z],[[+]],[[*]]$\rangle$#&rang;#
  26
  27 The multiplication and the addition are distributive.
  28 *)
  29
  30 inline procedural "cic:/CoRN/model/rings/Zring/Z_mult_plus_is_dist.con" as lemma.
  31
  32 inline procedural "cic:/CoRN/model/rings/Zring/Z_is_CRing.con" as definition.
  33
  34 inline procedural "cic:/CoRN/model/rings/Zring/Z_as_CRing.con" as definition.
  35
  36 (*#* The term [Z_as_CRing] is of type [CRing]. Hence we have proven that [Z] is a constructive ring. *)
  37