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