1 (**************************************************************************)
4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
10 (* \ / This file is distributed under the terms of the *)
11 (* v GNU General Public License Version 2 *)
13 (**************************************************************************)
15 (* This file was automatically generated: do not edit *********************)
19 (* $Id: N_no_group.v,v 1.5 2004/04/08 08:20:33 lcf Exp $ *)
21 include "model/monoids/Nmonoid.ma".
23 include "algebra/CGroups.ma".
25 (*#* **Non-example of a group: $\langle$#⟨#[nat],[[+]]$\rangle$#⟩#
26 There is no inverse function for the natural numbers with addition.
29 inline procedural "cic:/CoRN/model/non_examples/N_no_group/no_inverse_nat_plus.con" as lemma.
31 (*#* Hence they do not form a CGroup.
34 inline procedural "cic:/CoRN/model/non_examples/N_no_group/no_group_nat_plus.con" as lemma.