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

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   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
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  14
  15 (* This file was automatically generated: do not edit *********************)
  16
  17 include "CoRN.ma".
  18
  19 (* $Id: Qring.v,v 1.8 2004/04/23 10:01:03 lcf Exp $ *)
  20
  21 include "model/abgroups/Qabgroup.ma".
  22
  23 include "algebra/CRings.ma".
  24
  25 include "model/rings/Zring.ma".
  26
  27 (*#* **Example of a ring: $\langle$#&lang;#[Q],[[+]],[[*]]$\rangle$#&rang;#
  28 Because [Q] forms an abelian group with addition, a monoid with
  29 multiplication and it satisfies the distributive law, it is a ring.
  30 *)
  31
  32 inline procedural "cic:/CoRN/model/rings/Qring/Q_mult_plus_is_dist.con" as lemma.
  33
  34 inline procedural "cic:/CoRN/model/rings/Qring/Q_is_CRing.con" as definition.
  35
  36 inline procedural "cic:/CoRN/model/rings/Qring/Q_as_CRing.con" as definition.
  37
  38 (*#* The following lemmas are used in the proof that [Q] is Archimeadian.
  39 *)
  40
  41 inline procedural "cic:/CoRN/model/rings/Qring/injz_Nring.con" as lemma.
  42
  43 inline procedural "cic:/CoRN/model/rings/Qring/injZ_eq.con" as lemma.
  44
  45 inline procedural "cic:/CoRN/model/rings/Qring/nring_Q.con" as lemma.
  46