matita/contribs/CoRN-Decl/model/rings/Zring.ma

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
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  14
  15 (* This file was automatically generated: do not edit *********************)
  16
  17 set "baseuri" "cic:/matita/CoRN-Decl/model/rings/Zring".
  18
  19 include "CoRN.ma".
  20
  21 (* $Id: Zring.v,v 1.6 2004/04/08 08:20:34 lcf Exp $ *)
  22
  23 include "model/abgroups/Zabgroup.ma".
  24
  25 include "algebra/CRings.ma".
  26
  27 (*#* **Example of a ring: $\langle$#&lang;#[Z],[[+]],[[*]]$\rangle$#&rang;#
  28
  29 The multiplication and the addition are distributive.
  30 *)
  31
  32 inline "cic:/CoRN/model/rings/Zring/Z_mult_plus_is_dist.con".
  33
  34 inline "cic:/CoRN/model/rings/Zring/Z_is_CRing.con".
  35
  36 inline "cic:/CoRN/model/rings/Zring/Z_as_CRing.con".
  37
  38 (*#* The term [Z_as_CRing] is of type [CRing]. Hence we have proven that [Z] is a constructive ring. *)
  39