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[helm.git] / matita / contribs / CoRN-Decl / model / monoids / Qmonoid.ma

diff --git a/matita/contribs/CoRN-Decl/model/monoids/Qmonoid.ma b/matita/contribs/CoRN-Decl/model/monoids/Qmonoid.ma
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+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||M||                                                             *)
+(*      ||A||       A project by Andrea Asperti                           *)
+(*      ||T||                                                             *)
+(*      ||I||       Developers:                                           *)
+(*      ||T||         The HELM team.                                      *)
+(*      ||A||         http://helm.cs.unibo.it                             *)
+(*      \   /                                                             *)
+(*       \ /        This file is distributed under the terms of the       *)
+(*        v         GNU General Public License Version 2                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+(* This file was automatically generated: do not edit *********************)
+
+set "baseuri" "cic:/matita/CoRN-Decl/model/monoids/Qmonoid".
+
+include "CoRN.ma".
+
+(* $Id: Qmonoid.v,v 1.7 2004/04/08 08:20:33 lcf Exp $ *)
+
+include "model/semigroups/Qsemigroup.ma".
+
+include "algebra/CMonoids.ma".
+
+(*#* **Examples of a monoid: $\langle$#⟨#[Q],[[+]]$\rangle$#⟩# and $\langle$#⟨#[Q],[[*]]$\rangle$#⟩#
+***$\langle$#⟨#[Q],[[+]]$\rangle$#⟩#
+The rational numbers form with addition a CMonoid. [QZERO] is the unit.
+*)
+
+inline "cic:/CoRN/model/monoids/Qmonoid/ZEROQ_as_rht_unit3.con".
+
+inline "cic:/CoRN/model/monoids/Qmonoid/ZEROQ_as_lft_unit3.con".
+
+inline "cic:/CoRN/model/monoids/Qmonoid/Q_is_CMonoid.con".
+
+inline "cic:/CoRN/model/monoids/Qmonoid/Q_as_CMonoid.con".
+
+(*#* ***$\langle$#⟨#[Q],[[*]]$\rangle$#⟩#
+Also with multiplication Q forms a CMonoid. Here, the unit is [QONE].
+*)
+
+inline "cic:/CoRN/model/monoids/Qmonoid/ONEQ_as_rht_unit.con".
+
+inline "cic:/CoRN/model/monoids/Qmonoid/ONEQ_as_lft_unit.con".
+
+inline "cic:/CoRN/model/monoids/Qmonoid/Q_mul_is_CMonoid.con".
+
+inline "cic:/CoRN/model/monoids/Qmonoid/Q_mul_as_CMonoid.con".
+