helm/software/matita/contribs/CoRN-Decl/model/non_examples/Npos_no_monoid.ma

   1 (**************************************************************************)
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   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
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  11 (*        v         GNU General Public License Version 2                  *)
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  14
  15 (* This file was automatically generated: do not edit *********************)
  16
  17 set "baseuri" "cic:/matita/CoRN-Decl/model/non_examples/Npos_no_monoid".
  18
  19 (* $Id: Npos_no_monoid.v,v 1.5 2004/04/08 08:20:34 lcf Exp $ *)
  20
  21 (* INCLUDE
  22 Npossemigroup
  23 *)
  24
  25 (* INCLUDE
  26 CMonoids
  27 *)
  28
  29 (*#* **Non-example of a monoid: $\langle$#&lang;#[Npos],[[+]]$\rangle$#&rang;#
  30 There is no right unit for the addition on the positive natural numbers.
  31 *)
  32
  33 inline cic:/CoRN/model/non_examples/Npos_no_monoid/no_rht_unit_Npos.con.
  34
  35 (*#* Therefore the set of positive natural numbers doesn't form a group with
  36 addition.
  37 *)
  38
  39 inline cic:/CoRN/model/non_examples/Npos_no_monoid/no_monoid_Npos.con.
  40