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

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  14
  15 (* This file was automatically generated: do not edit *********************)
  16
  17 include "CoRN.ma".
  18
  19 (* $Id: Nposmonoid.v,v 1.6 2004/04/08 08:20:33 lcf Exp $ *)
  20
  21 include "model/semigroups/Npossemigroup.ma".
  22
  23 include "algebra/CMonoids.ma".
  24
  25 (*#* **Example of a monoid: $\langle$#&lang;#[Npos],[[*]]$\rangle$#&rang;#
  26 One is the right unit as well as the left unit of the multiplication on the
  27 positive natural numbers.
  28 *)
  29
  30 inline procedural "cic:/CoRN/model/monoids/Nposmonoid/rhtunitNpos.con" as lemma.
  31
  32 inline procedural "cic:/CoRN/model/monoids/Nposmonoid/lftunitNpos.con" as lemma.
  33
  34 (*#* So, the positive natural numbers with multiplication form a CMonoid.
  35 *)
  36
  37 inline procedural "cic:/CoRN/model/monoids/Nposmonoid/Nposmult_is_CMonoid.con" as definition.
  38
  39 inline procedural "cic:/CoRN/model/monoids/Nposmonoid/Nposmult_as_CMonoid.con" as definition.
  40