X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=sidebyside;f=matita%2Fcontribs%2FCoRN-Decl%2Fmodel%2Fsemigroups%2FNpossemigroup.ma;fp=matita%2Fcontribs%2FCoRN-Decl%2Fmodel%2Fsemigroups%2FNpossemigroup.ma;h=466677d04bc3631d1e69626c02bb7f35adbf9bcb;hb=f61af501fb4608cc4fb062a0864c774e677f0d76;hp=0000000000000000000000000000000000000000;hpb=58ae1809c352e71e7b5530dc41e2bfc834e1aef1;p=helm.git diff --git a/matita/contribs/CoRN-Decl/model/semigroups/Npossemigroup.ma b/matita/contribs/CoRN-Decl/model/semigroups/Npossemigroup.ma new file mode 100644 index 000000000..466677d04 --- /dev/null +++ b/matita/contribs/CoRN-Decl/model/semigroups/Npossemigroup.ma @@ -0,0 +1,44 @@ +(**************************************************************************) +(* ___ *) +(* ||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/semigroups/Npossemigroup". + +include "CoRN.ma". + +(* $Id: Npossemigroup.v,v 1.6 2004/04/08 08:20:34 lcf Exp $ *) + +include "algebra/CSemiGroups.ma". + +include "model/semigroups/Nsemigroup.ma". + +include "model/setoids/Npossetoid.ma". + +(*#* **Examples of semi-groups: $\langle$#⟨#[Npos],[[+]]$\rangle$#⟩# and $\langle$#⟨#[Npos],[[*]]$\rangle$#⟩# +***$\langle$#⟨#[Npos],[[+]]$\rangle$#⟩# +The positive natural numbers form together with addition a subsemigroup + of the semigroup of the natural numbers with addition. +*) + +inline "cic:/CoRN/model/semigroups/Npossemigroup/Npos_as_CSemiGroup.con". + +(*#* ***$\langle$#⟨#[Npos],[[*]]$\rangle$#⟩# +Also together with multiplication, the positive numbers form a semigroup. +*) + +inline "cic:/CoRN/model/semigroups/Npossemigroup/Nposmult_is_CSemiGroup.con". + +inline "cic:/CoRN/model/semigroups/Npossemigroup/Nposmult_as_CSemiGroup.con". +