helm/software/matita/contribs/procedural/CoRN/model/monoids/Qposmonoid.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: Qposmonoid.v,v 1.7 2004/04/08 08:20:33 lcf Exp $ *)
  20
  21 include "model/semigroups/Qpossemigroup.ma".
  22
  23 include "algebra/CMonoids.ma".
  24
  25 (*#* **Example of a monoid: $\langle$#&lang;#[Qpos],[[*]]$\rangle$#&rang;#
  26 One is the unit for multiplication on positive integers. Therefore the positive rational numbers together with the multiplication are a CMonoid.
  27 *)
  28
  29 inline procedural "cic:/CoRN/model/monoids/Qposmonoid/QONEpos_is_rht_unit.con" as lemma.
  30
  31 inline procedural "cic:/CoRN/model/monoids/Qposmonoid/QONEpos_is_lft_unit.con" as lemma.
  32
  33 inline procedural "cic:/CoRN/model/monoids/Qposmonoid/Qpos_mult_is_CMonoid.con" as definition.
  34
  35 inline procedural "cic:/CoRN/model/monoids/Qposmonoid/Qpos_mult_as_CMonoid.con" as definition.
  36