matita/contribs/CoRN-Decl/model/setoids/Qsetoid.ma

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  14
  15 (* This file was automatically generated: do not edit *********************)
  16
  17 set "baseuri" "cic:/matita/CoRN-Decl/model/setoids/Qsetoid".
  18
  19 include "CoRN.ma".
  20
  21 (* $Id: Qsetoid.v,v 1.6 2004/04/06 15:46:05 lcf Exp $ *)
  22
  23 include "model/structures/Qsec.ma".
  24
  25 include "algebra/CSetoidFun.ma".
  26
  27 (*#* **Example of a setoid: [Q]
  28 ***Setoid
  29 *)
  30
  31 inline "cic:/CoRN/model/setoids/Qsetoid/ap_Q_irreflexive1.con".
  32
  33 inline "cic:/CoRN/model/setoids/Qsetoid/ap_Q_symmetric1.con".
  34
  35 inline "cic:/CoRN/model/setoids/Qsetoid/ap_Q_cotransitive1.con".
  36
  37 inline "cic:/CoRN/model/setoids/Qsetoid/ap_Q_tight1.con".
  38
  39 inline "cic:/CoRN/model/setoids/Qsetoid/ap_Q_is_apartness.con".
  40
  41 inline "cic:/CoRN/model/setoids/Qsetoid/Q_as_CSetoid.con".
  42
  43 (*#* ***Addition
  44 *)
  45
  46 inline "cic:/CoRN/model/setoids/Qsetoid/Qplus_wd.con".
  47
  48 inline "cic:/CoRN/model/setoids/Qsetoid/Qplus_strext1.con".
  49
  50 inline "cic:/CoRN/model/setoids/Qsetoid/Qplus_is_bin_fun.con".
  51
  52 (*#* It is associative and commutative.
  53 *)
  54
  55 inline "cic:/CoRN/model/setoids/Qsetoid/Qplus_is_assoc.con".
  56
  57 inline "cic:/CoRN/model/setoids/Qsetoid/Qplus_is_commut1.con".
  58
  59 (*#* ***Opposite
  60 *)
  61
  62 inline "cic:/CoRN/model/setoids/Qsetoid/Qopp_wd.con".
  63
  64 inline "cic:/CoRN/model/setoids/Qsetoid/Qopp_strext.con".
  65
  66 inline "cic:/CoRN/model/setoids/Qsetoid/Qopp_is_fun.con".
  67
  68 (*#* ***Multiplication
  69 *)
  70
  71 inline "cic:/CoRN/model/setoids/Qsetoid/Qmult_wd.con".
  72
  73 inline "cic:/CoRN/model/setoids/Qsetoid/Qmult_strext1.con".
  74
  75 inline "cic:/CoRN/model/setoids/Qsetoid/Qmult_is_bin_fun.con".
  76
  77 (*#* It is associative and commutative.
  78 *)
  79
  80 inline "cic:/CoRN/model/setoids/Qsetoid/Qmult_is_assoc.con".
  81
  82 inline "cic:/CoRN/model/setoids/Qsetoid/Qmult_is_commut.con".
  83
  84 (*#* ***Less-than
  85 *)
  86
  87 inline "cic:/CoRN/model/setoids/Qsetoid/Qlt_strext.con".
  88
  89 inline "cic:/CoRN/model/setoids/Qsetoid/Qlt_is_CSetoid_relation.con".
  90