]> matita.cs.unibo.it Git - helm.git/blob - matita/contribs/CoRN-Decl/model/monoids/QSposmonoid.ma
tagged 0.5.0-rc1
[helm.git] / matita / contribs / CoRN-Decl / model / monoids / QSposmonoid.ma
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 set "baseuri" "cic:/matita/CoRN-Decl/model/monoids/QSposmonoid".
18
19 include "CoRN.ma".
20
21 (* $Id: QSposmonoid.v,v 1.5 2004/04/08 08:20:33 lcf Exp $ *)
22
23 include "model/semigroups/QSpossemigroup.ma".
24
25 include "algebra/CMonoids.ma".
26
27 (*#* **Example of a monoid: $\langle$#⟨#[Qpos],$(x,y) \mapsto xy/2$ #(x,y) ↦ xy/2#$\rangle$#⟩#
28 Two is the unit of the operation  $(x,y) \mapsto xy/2$ #(x,y) 
29   ↦ xy/2# on the positive rationals. So we have another monoid structure on the positive rational numbers.
30 *)
31
32 inline "cic:/CoRN/model/monoids/QSposmonoid/QTWOpos_is_rht_unit.con".
33
34 inline "cic:/CoRN/model/monoids/QSposmonoid/QTWOpos_is_lft_unit.con".
35
36 inline "cic:/CoRN/model/monoids/QSposmonoid/Qpos_multdiv2_is_CMonoid.con".
37
38 inline "cic:/CoRN/model/monoids/QSposmonoid/Qpos_multdiv2_as_CMonoid.con".
39