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

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
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  10 (*       \ /        This file is distributed under the terms of the       *)
  11 (*        v         GNU General Public License Version 2                  *)
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  13 (**************************************************************************)
  14
  15 (* This file was automatically generated: do not edit *********************)
  16
  17 set "baseuri" "cic:/matita/CoRN-Decl/model/rings/Qring".
  18
  19 include "CoRN.ma".
  20
  21 (* $Id: Qring.v,v 1.8 2004/04/23 10:01:03 lcf Exp $ *)
  22
  23 include "model/abgroups/Qabgroup.ma".
  24
  25 include "algebra/CRings.ma".
  26
  27 include "model/rings/Zring.ma".
  28
  29 (*#* **Example of a ring: $\langle$#&lang;#[Q],[[+]],[[*]]$\rangle$#&rang;#
  30 Because [Q] forms an abelian group with addition, a monoid with
  31 multiplication and it satisfies the distributive law, it is a ring.
  32 *)
  33
  34 inline "cic:/CoRN/model/rings/Qring/Q_mult_plus_is_dist.con".
  35
  36 inline "cic:/CoRN/model/rings/Qring/Q_is_CRing.con".
  37
  38 inline "cic:/CoRN/model/rings/Qring/Q_as_CRing.con".
  39
  40 (*#* The following lemmas are used in the proof that [Q] is Archimeadian.
  41 *)
  42
  43 inline "cic:/CoRN/model/rings/Qring/injz_Nring.con".
  44
  45 inline "cic:/CoRN/model/rings/Qring/injZ_eq.con".
  46
  47 inline "cic:/CoRN/model/rings/Qring/nring_Q.con".
  48