matita/contribs/CoRN-Decl/model/monoids/Qmonoid.ma

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  14
  15 (* This file was automatically generated: do not edit *********************)
  16
  17 set "baseuri" "cic:/matita/CoRN-Decl/model/monoids/Qmonoid".
  18
  19 include "CoRN.ma".
  20
  21 (* $Id: Qmonoid.v,v 1.7 2004/04/08 08:20:33 lcf Exp $ *)
  22
  23 include "model/semigroups/Qsemigroup.ma".
  24
  25 include "algebra/CMonoids.ma".
  26
  27 (*#* **Examples of a monoid: $\langle$#&lang;#[Q],[[+]]$\rangle$#&rang;# and $\langle$#&lang;#[Q],[[*]]$\rangle$#&rang;#
  28 ***$\langle$#&lang;#[Q],[[+]]$\rangle$#&rang;#
  29 The rational numbers form with addition a CMonoid. [QZERO] is the unit.
  30 *)
  31
  32 inline "cic:/CoRN/model/monoids/Qmonoid/ZEROQ_as_rht_unit3.con".
  33
  34 inline "cic:/CoRN/model/monoids/Qmonoid/ZEROQ_as_lft_unit3.con".
  35
  36 inline "cic:/CoRN/model/monoids/Qmonoid/Q_is_CMonoid.con".
  37
  38 inline "cic:/CoRN/model/monoids/Qmonoid/Q_as_CMonoid.con".
  39
  40 (*#* ***$\langle$#&lang;#[Q],[[*]]$\rangle$#&rang;#
  41 Also with multiplication Q forms a CMonoid. Here, the unit is [QONE].
  42 *)
  43
  44 inline "cic:/CoRN/model/monoids/Qmonoid/ONEQ_as_rht_unit.con".
  45
  46 inline "cic:/CoRN/model/monoids/Qmonoid/ONEQ_as_lft_unit.con".
  47
  48 inline "cic:/CoRN/model/monoids/Qmonoid/Q_mul_is_CMonoid.con".
  49
  50 inline "cic:/CoRN/model/monoids/Qmonoid/Q_mul_as_CMonoid.con".
  51