helm/software/matita/contribs/procedural/CoRN/model/monoids/Nmonoid.mma

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  14
  15 (* This file was automatically generated: do not edit *********************)
  16
  17 include "CoRN.ma".
  18
  19 (* $Id: Nmonoid.v,v 1.5 2004/04/08 08:20:32 lcf Exp $ *)
  20
  21 include "model/semigroups/Nsemigroup.ma".
  22
  23 include "algebra/CMonoids.ma".
  24
  25 (*#* **Example of a monoid: $\langle$#&lang;#[nat],[[+]]$\rangle$#&rang;#
  26 Zero is an unit for the addition.
  27 *)
  28
  29 inline procedural "cic:/CoRN/model/monoids/Nmonoid/O_as_rht_unit.con" as lemma.
  30
  31 inline procedural "cic:/CoRN/model/monoids/Nmonoid/O_as_lft_unit.con" as lemma.
  32
  33 inline procedural "cic:/CoRN/model/monoids/Nmonoid/nat_is_CMonoid.con" as definition.
  34
  35 (*#*
  36  Whence we can define #<i>#%\emph{%the monoid of natural numbers%}%#</i>#:
  37 *)
  38
  39 inline procedural "cic:/CoRN/model/monoids/Nmonoid/nat_as_CMonoid.con" as definition.
  40