X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fcontribs%2FCoRN-Decl%2Fmodel%2Fnon_examples%2FNpos_no_monoid.ma;fp=matita%2Fcontribs%2FCoRN-Decl%2Fmodel%2Fnon_examples%2FNpos_no_monoid.ma;h=7dbff70500b8c2323575cd796ca34d29345d1ee0;hp=0000000000000000000000000000000000000000;hb=f61af501fb4608cc4fb062a0864c774e677f0d76;hpb=58ae1809c352e71e7b5530dc41e2bfc834e1aef1 diff --git a/matita/contribs/CoRN-Decl/model/non_examples/Npos_no_monoid.ma b/matita/contribs/CoRN-Decl/model/non_examples/Npos_no_monoid.ma new file mode 100644 index 000000000..7dbff7050 --- /dev/null +++ b/matita/contribs/CoRN-Decl/model/non_examples/Npos_no_monoid.ma @@ -0,0 +1,38 @@ +(**************************************************************************) +(* ___ *) +(* ||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/non_examples/Npos_no_monoid". + +include "CoRN.ma". + +(* $Id: Npos_no_monoid.v,v 1.5 2004/04/08 08:20:34 lcf Exp $ *) + +include "model/semigroups/Npossemigroup.ma". + +include "algebra/CMonoids.ma". + +(*#* **Non-example of a monoid: $\langle$#⟨#[Npos],[[+]]$\rangle$#⟩# +There is no right unit for the addition on the positive natural numbers. +*) + +inline "cic:/CoRN/model/non_examples/Npos_no_monoid/no_rht_unit_Npos.con". + +(*#* Therefore the set of positive natural numbers doesn't form a group with +addition. +*) + +inline "cic:/CoRN/model/non_examples/Npos_no_monoid/no_monoid_Npos.con". +