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4 (* ||A|| A project by Andrea Asperti *)
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15 (* This file was automatically generated: do not edit *********************)
17 set "baseuri" "cic:/matita/CoRN-Decl/model/semigroups/Npossemigroup".
21 (* $Id: Npossemigroup.v,v 1.6 2004/04/08 08:20:34 lcf Exp $ *)
23 include "algebra/CSemiGroups.ma".
25 include "model/semigroups/Nsemigroup.ma".
27 include "model/setoids/Npossetoid.ma".
29 (*#* **Examples of semi-groups: $\langle$#⟨#[Npos],[[+]]$\rangle$#⟩# and $\langle$#⟨#[Npos],[[*]]$\rangle$#⟩#
30 ***$\langle$#⟨#[Npos],[[+]]$\rangle$#⟩#
31 The positive natural numbers form together with addition a subsemigroup
32 of the semigroup of the natural numbers with addition.
35 inline "cic:/CoRN/model/semigroups/Npossemigroup/Npos_as_CSemiGroup.con".
37 (*#* ***$\langle$#⟨#[Npos],[[*]]$\rangle$#⟩#
38 Also together with multiplication, the positive numbers form a semigroup.
41 inline "cic:/CoRN/model/semigroups/Npossemigroup/Nposmult_is_CSemiGroup.con".
43 inline "cic:/CoRN/model/semigroups/Npossemigroup/Nposmult_as_CSemiGroup.con".