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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 *)
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15 (* This file was automatically generated: do not edit *********************)
17 set "baseuri" "cic:/matita/CoRN-Decl/model/monoids/Nmonoid".
21 (* $Id: Nmonoid.v,v 1.5 2004/04/08 08:20:32 lcf Exp $ *)
23 include "model/semigroups/Nsemigroup.ma".
25 include "algebra/CMonoids.ma".
27 (*#* **Example of a monoid: $\langle$#⟨#[nat],[[+]]$\rangle$#⟩#
28 Zero is an unit for the addition.
31 inline "cic:/CoRN/model/monoids/Nmonoid/O_as_rht_unit.con".
33 inline "cic:/CoRN/model/monoids/Nmonoid/O_as_lft_unit.con".
35 inline "cic:/CoRN/model/monoids/Nmonoid/nat_is_CMonoid.con".
38 Whence we can define #<i>#%\emph{%the monoid of natural numbers%}%#</i>#:
41 inline "cic:/CoRN/model/monoids/Nmonoid/nat_as_CMonoid.con".