matita/contribs/CoRN-Decl/model/semigroups/Npossemigroup.ma

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  14
  15 (* This file was automatically generated: do not edit *********************)
  16
  17 set "baseuri" "cic:/matita/CoRN-Decl/model/semigroups/Npossemigroup".
  18
  19 include "CoRN.ma".
  20
  21 (* $Id: Npossemigroup.v,v 1.6 2004/04/08 08:20:34 lcf Exp $ *)
  22
  23 include "algebra/CSemiGroups.ma".
  24
  25 include "model/semigroups/Nsemigroup.ma".
  26
  27 include "model/setoids/Npossetoid.ma".
  28
  29 (*#* **Examples of semi-groups:  $\langle$#&lang;#[Npos],[[+]]$\rangle$#&rang;# and $\langle$#&lang;#[Npos],[[*]]$\rangle$#&rang;#
  30 ***$\langle$#&lang;#[Npos],[[+]]$\rangle$#&rang;#
  31 The positive natural numbers form together with addition a subsemigroup
  32  of the semigroup of the natural numbers with addition.
  33 *)
  34
  35 inline "cic:/CoRN/model/semigroups/Npossemigroup/Npos_as_CSemiGroup.con".
  36
  37 (*#* ***$\langle$#&lang;#[Npos],[[*]]$\rangle$#&rang;#
  38 Also together with multiplication, the positive numbers form a semigroup.
  39 *)
  40
  41 inline "cic:/CoRN/model/semigroups/Npossemigroup/Nposmult_is_CSemiGroup.con".
  42
  43 inline "cic:/CoRN/model/semigroups/Npossemigroup/Nposmult_as_CSemiGroup.con".
  44