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

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   4 (*      ||A||       A project by Andrea Asperti                           *)
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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 (* $Id: Qsetoid.v,v 1.6 2004/04/06 15:46:05 lcf Exp $ *)
  20
  21 (* INCLUDE
  22 Qsec
  23 *)
  24
  25 (* INCLUDE
  26 CSetoidFun
  27 *)
  28
  29 (*#* **Example of a setoid: [Q]
  30 ***Setoid
  31 *)
  32
  33 inline cic:/CoRN/model/setoids/Qsetoid/ap_Q_irreflexive1.con.
  34
  35 inline cic:/CoRN/model/setoids/Qsetoid/ap_Q_symmetric1.con.
  36
  37 inline cic:/CoRN/model/setoids/Qsetoid/ap_Q_cotransitive1.con.
  38
  39 inline cic:/CoRN/model/setoids/Qsetoid/ap_Q_tight1.con.
  40
  41 inline cic:/CoRN/model/setoids/Qsetoid/ap_Q_is_apartness.con.
  42
  43 inline cic:/CoRN/model/setoids/Qsetoid/Q_as_CSetoid.con.
  44
  45 (*#* ***Addition
  46 *)
  47
  48 inline cic:/CoRN/model/setoids/Qsetoid/Qplus_wd.con.
  49
  50 inline cic:/CoRN/model/setoids/Qsetoid/Qplus_strext1.con.
  51
  52 inline cic:/CoRN/model/setoids/Qsetoid/Qplus_is_bin_fun.con.
  53
  54 (*#* It is associative and commutative.
  55 *)
  56
  57 inline cic:/CoRN/model/setoids/Qsetoid/Qplus_is_assoc.con.
  58
  59 inline cic:/CoRN/model/setoids/Qsetoid/Qplus_is_commut1.con.
  60
  61 (*#* ***Opposite
  62 *)
  63
  64 inline cic:/CoRN/model/setoids/Qsetoid/Qopp_wd.con.
  65
  66 inline cic:/CoRN/model/setoids/Qsetoid/Qopp_strext.con.
  67
  68 inline cic:/CoRN/model/setoids/Qsetoid/Qopp_is_fun.con.
  69
  70 (*#* ***Multiplication
  71 *)
  72
  73 inline cic:/CoRN/model/setoids/Qsetoid/Qmult_wd.con.
  74
  75 inline cic:/CoRN/model/setoids/Qsetoid/Qmult_strext1.con.
  76
  77 inline cic:/CoRN/model/setoids/Qsetoid/Qmult_is_bin_fun.con.
  78
  79 (*#* It is associative and commutative.
  80 *)
  81
  82 inline cic:/CoRN/model/setoids/Qsetoid/Qmult_is_assoc.con.
  83
  84 inline cic:/CoRN/model/setoids/Qsetoid/Qmult_is_commut.con.
  85
  86 (*#* ***Less-than
  87 *)
  88
  89 inline cic:/CoRN/model/setoids/Qsetoid/Qlt_strext.con.
  90
  91 inline cic:/CoRN/model/setoids/Qsetoid/Qlt_is_CSetoid_relation.con.
  92