helm/software/matita/contribs/procedural/CoRN/model/semigroups/Npossemigroup.mma

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  14
  15 (* This file was automatically generated: do not edit *********************)
  16
  17 include "CoRN.ma".
  18
  19 (* $Id: Npossemigroup.v,v 1.6 2004/04/08 08:20:34 lcf Exp $ *)
  20
  21 include "algebra/CSemiGroups.ma".
  22
  23 include "model/semigroups/Nsemigroup.ma".
  24
  25 include "model/setoids/Npossetoid.ma".
  26
  27 (*#* **Examples of semi-groups:  $\langle$#&lang;#[Npos],[[+]]$\rangle$#&rang;# and $\langle$#&lang;#[Npos],[[*]]$\rangle$#&rang;#
  28 ***$\langle$#&lang;#[Npos],[[+]]$\rangle$#&rang;#
  29 The positive natural numbers form together with addition a subsemigroup
  30  of the semigroup of the natural numbers with addition.
  31 *)
  32
  33 inline procedural "cic:/CoRN/model/semigroups/Npossemigroup/Npos_as_CSemiGroup.con" as definition.
  34
  35 (*#* ***$\langle$#&lang;#[Npos],[[*]]$\rangle$#&rang;#
  36 Also together with multiplication, the positive numbers form a semigroup.
  37 *)
  38
  39 inline procedural "cic:/CoRN/model/semigroups/Npossemigroup/Nposmult_is_CSemiGroup.con" as lemma.
  40
  41 inline procedural "cic:/CoRN/model/semigroups/Npossemigroup/Nposmult_as_CSemiGroup.con" as definition.
  42