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4 (* ||A|| A project by Andrea Asperti *)
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7 (* ||T|| The HELM team. *)
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15 (* This file was automatically generated: do not edit *********************)
19 (* $Id: Nmonoid.v,v 1.5 2004/04/08 08:20:32 lcf Exp $ *)
21 include "model/semigroups/Nsemigroup.ma".
23 include "algebra/CMonoids.ma".
25 (*#* **Example of a monoid: $\langle$#⟨#[nat],[[+]]$\rangle$#⟩#
26 Zero is an unit for the addition.
29 inline procedural "cic:/CoRN/model/monoids/Nmonoid/O_as_rht_unit.con" as lemma.
31 inline procedural "cic:/CoRN/model/monoids/Nmonoid/O_as_lft_unit.con" as lemma.
33 inline procedural "cic:/CoRN/model/monoids/Nmonoid/nat_is_CMonoid.con" as definition.
36 Whence we can define #<i>#%\emph{%the monoid of natural numbers%}%#</i>#:
39 inline procedural "cic:/CoRN/model/monoids/Nmonoid/nat_as_CMonoid.con" as definition.