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4 (* ||A|| A project by Andrea Asperti *)
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7 (* ||T|| The HELM team. *)
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15 (* This file was automatically generated: do not edit *********************)
17 set "baseuri" "cic:/matita/CoRN-Decl/model/non_examples/N_no_group".
19 include "CoRN_notation.ma".
21 (* $Id: N_no_group.v,v 1.5 2004/04/08 08:20:33 lcf Exp $ *)
23 include "model/monoids/Nmonoid.ma".
25 include "algebra/CGroups.ma".
27 (*#* **Non-example of a group: $\langle$#⟨#[nat],[[+]]$\rangle$#⟩#
28 There is no inverse function for the natural numbers with addition.
31 inline "cic:/CoRN/model/non_examples/N_no_group/no_inverse_nat_plus.con".
33 (*#* Hence they do not form a CGroup.
36 inline "cic:/CoRN/model/non_examples/N_no_group/no_group_nat_plus.con".