helm/software/matita/contribs/procedural/CoRN/model/non_examples/Npos_no_group.mma

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  14
  15 (* This file was automatically generated: do not edit *********************)
  16
  17 include "CoRN.ma".
  18
  19 (* $Id: Npos_no_group.v,v 1.6 2004/04/08 08:20:33 lcf Exp $ *)
  20
  21 include "algebra/CGroups.ma".
  22
  23 include "model/monoids/Nposmonoid.ma".
  24
  25 (*#* **Non-example of a group: $\langle$#&lang;#[Npos],[[+]]$\rangle$#&rang;#
  26 There is no inverse for multiplication on the positive natural numbers.
  27 *)
  28
  29 inline procedural "cic:/CoRN/model/non_examples/Npos_no_group/no_inverse_Nposmult.con" as lemma.
  30
  31 (*#* Hence the natural numbers with multiplication do not form a group.
  32 *)
  33
  34 inline procedural "cic:/CoRN/model/non_examples/Npos_no_group/no_group_Nposmult.con" as lemma.
  35