matita/contribs/CoRN-Decl/model/setoids/Nsetoid.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/Nsetoid".
  18
  19 include "CoRN.ma".
  20
  21 (* $Id: Nsetoid.v,v 1.4 2004/04/06 15:46:04 lcf Exp $ *)
  22
  23 include "model/structures/Nsec.ma".
  24
  25 include "algebra/CSetoidFun.ma".
  26
  27 (*#* **Example of a setoid: [nat]
  28
  29 We will show that the natural numbers form a CSetoid.
  30 *)
  31
  32 inline "cic:/CoRN/model/setoids/Nsetoid/ap_nat_irreflexive.con".
  33
  34 inline "cic:/CoRN/model/setoids/Nsetoid/ap_nat_symmetric.con".
  35
  36 inline "cic:/CoRN/model/setoids/Nsetoid/ap_nat_cotransitive.con".
  37
  38 inline "cic:/CoRN/model/setoids/Nsetoid/ap_nat_tight.con".
  39
  40 inline "cic:/CoRN/model/setoids/Nsetoid/ap_nat_is_apartness.con".
  41
  42 inline "cic:/CoRN/model/setoids/Nsetoid/nat_as_CSetoid.con".
  43
  44 (*#* ***Addition
  45 *)
  46
  47 inline "cic:/CoRN/model/setoids/Nsetoid/plus_wd.con".
  48
  49 inline "cic:/CoRN/model/setoids/Nsetoid/plus_strext.con".
  50
  51 inline "cic:/CoRN/model/setoids/Nsetoid/plus_is_bin_fun.con".
  52
  53 (*#* It is associative and commutative.
  54 *)
  55
  56 inline "cic:/CoRN/model/setoids/Nsetoid/plus_is_assoc.con".
  57
  58 inline "cic:/CoRN/model/setoids/Nsetoid/plus_is_commut.con".
  59
  60 (*#* ***Multiplication
  61 *)
  62
  63 inline "cic:/CoRN/model/setoids/Nsetoid/mult_strext.con".
  64
  65 inline "cic:/CoRN/model/setoids/Nsetoid/mult_as_bin_fun.con".
  66