1 (**************************************************************************)
4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
10 (* \ / This file is distributed under the terms of the *)
11 (* v GNU General Public License Version 2 *)
13 (**************************************************************************)
15 (* This file was automatically generated: do not edit *********************)
19 (* $Id: QSposmonoid.v,v 1.5 2004/04/08 08:20:33 lcf Exp $ *)
21 include "model/semigroups/QSpossemigroup.ma".
23 include "algebra/CMonoids.ma".
25 (*#* **Example of a monoid: $\langle$#⟨#[Qpos],$(x,y) \mapsto xy/2$ #(x,y) ↦ xy/2#$\rangle$#⟩#
26 Two is the unit of the operation $(x,y) \mapsto xy/2$ #(x,y)
27 ↦ xy/2# on the positive rationals. So we have another monoid structure on the positive rational numbers.
30 inline procedural "cic:/CoRN/model/monoids/QSposmonoid/QTWOpos_is_rht_unit.con" as lemma.
32 inline procedural "cic:/CoRN/model/monoids/QSposmonoid/QTWOpos_is_lft_unit.con" as lemma.
34 inline procedural "cic:/CoRN/model/monoids/QSposmonoid/Qpos_multdiv2_is_CMonoid.con" as definition.
36 inline procedural "cic:/CoRN/model/monoids/QSposmonoid/Qpos_multdiv2_as_CMonoid.con" as definition.