helm/software/matita/contribs/procedural/CoRN/model/non_examples/Npos_no_monoid.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_monoid.v,v 1.5 2004/04/08 08:20:34 lcf Exp $ *)
  20
  21 include "model/semigroups/Npossemigroup.ma".
  22
  23 include "algebra/CMonoids.ma".
  24
  25 (*#* **Non-example of a monoid: $\langle$#&lang;#[Npos],[[+]]$\rangle$#&rang;#
  26 There is no right unit for the addition on the positive natural numbers.
  27 *)
  28
  29 inline procedural "cic:/CoRN/model/non_examples/Npos_no_monoid/no_rht_unit_Npos.con" as lemma.
  30
  31 (*#* Therefore the set of positive natural numbers doesn't form a group with
  32 addition.
  33 *)
  34
  35 inline procedural "cic:/CoRN/model/non_examples/Npos_no_monoid/no_monoid_Npos.con" as lemma.
  36