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

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
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  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 (* $Id: Qring.v,v 1.8 2004/04/23 10:01:03 lcf Exp $ *)
  20
  21 (* INCLUDE
  22 Qabgroup
  23 *)
  24
  25 (* INCLUDE
  26 CRings
  27 *)
  28
  29 (* INCLUDE
  30 Zring
  31 *)
  32
  33 (*#* **Example of a ring: $\langle$#&lang;#[Q],[[+]],[[*]]$\rangle$#&rang;#
  34 Because [Q] forms an abelian group with addition, a monoid with
  35 multiplication and it satisfies the distributive law, it is a ring.
  36 *)
  37
  38 inline cic:/CoRN/model/rings/Qring/Q_mult_plus_is_dist.con.
  39
  40 inline cic:/CoRN/model/rings/Qring/Q_is_CRing.con.
  41
  42 inline cic:/CoRN/model/rings/Qring/Q_as_CRing.con.
  43
  44 (*#* The following lemmas are used in the proof that [Q] is Archimeadian.
  45 *)
  46
  47 inline cic:/CoRN/model/rings/Qring/injz_Nring.con.
  48
  49 inline cic:/CoRN/model/rings/Qring/injZ_eq.con.
  50
  51 (* INCLUDE
  52 ZArith
  53 *)
  54
  55 inline cic:/CoRN/model/rings/Qring/nring_Q.con.
  56