X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fcontribs%2FCoRN-Decl%2Falgebra%2FCAbMonoids.ma;fp=matita%2Fcontribs%2FCoRN-Decl%2Falgebra%2FCAbMonoids.ma;h=716750a783d564f29d07b17f77c216e1a0868057;hp=0000000000000000000000000000000000000000;hb=f61af501fb4608cc4fb062a0864c774e677f0d76;hpb=58ae1809c352e71e7b5530dc41e2bfc834e1aef1 diff --git a/matita/contribs/CoRN-Decl/algebra/CAbMonoids.ma b/matita/contribs/CoRN-Decl/algebra/CAbMonoids.ma new file mode 100644 index 000000000..716750a78 --- /dev/null +++ b/matita/contribs/CoRN-Decl/algebra/CAbMonoids.ma @@ -0,0 +1,99 @@ +(**************************************************************************) +(* ___ *) +(* ||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/algebra/CAbMonoids". + +include "CoRN.ma". + +include "algebra/CMonoids.ma". + +(* UNEXPORTED +Section Abelian_Monoids +*) + +(*#* +* Abelian Monoids +Now we introduce commutativity and add some results. +*) + +inline "cic:/CoRN/algebra/CAbMonoids/is_CAbMonoid.con". + +inline "cic:/CoRN/algebra/CAbMonoids/CAbMonoid.ind". + +coercion cic:/matita/CoRN-Decl/algebra/CAbMonoids/cam_crr.con 0 (* compounds *). + +(* UNEXPORTED +Section AbMonoid_Axioms +*) + +alias id "M" = "cic:/CoRN/algebra/CAbMonoids/Abelian_Monoids/AbMonoid_Axioms/M.var". + +(*#* +%\begin{convention}% Let [M] be an abelian monoid. +%\end{convention}% +*) + +inline "cic:/CoRN/algebra/CAbMonoids/CAbMonoid_is_CAbMonoid.con". + +inline "cic:/CoRN/algebra/CAbMonoids/cam_commutes.con". + +inline "cic:/CoRN/algebra/CAbMonoids/cam_commutes_unfolded.con". + +(* UNEXPORTED +End AbMonoid_Axioms +*) + +(* UNEXPORTED +Section SubCAbMonoids +*) + +(*#* +** Subgroups of an Abelian Monoid +*) + +alias id "M" = "cic:/CoRN/algebra/CAbMonoids/Abelian_Monoids/SubCAbMonoids/M.var". + +alias id "P" = "cic:/CoRN/algebra/CAbMonoids/Abelian_Monoids/SubCAbMonoids/P.var". + +alias id "Punit" = "cic:/CoRN/algebra/CAbMonoids/Abelian_Monoids/SubCAbMonoids/Punit.var". + +alias id "op_pres_P" = "cic:/CoRN/algebra/CAbMonoids/Abelian_Monoids/SubCAbMonoids/op_pres_P.var". + +(*#* +%\begin{convention}% +Let [M] be an Abelian Monoid and [P] be a ([CProp]-valued) predicate on [M] +that contains [Zero] and is closed under [[+]] and [[--]]. +%\end{convention}% +*) + +inline "cic:/CoRN/algebra/CAbMonoids/Abelian_Monoids/SubCAbMonoids/subcrr.con" "Abelian_Monoids__SubCAbMonoids__". + +inline "cic:/CoRN/algebra/CAbMonoids/isabgrp_scrr.con". + +inline "cic:/CoRN/algebra/CAbMonoids/Build_SubCAbMonoid.con". + +(* UNEXPORTED +End SubCAbMonoids +*) + +(* UNEXPORTED +End Abelian_Monoids +*) + +(* UNEXPORTED +Hint Resolve cam_commutes_unfolded: algebra. +*) +