1 (**************************************************************************)
4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
10 (* \ / This file is distributed under the terms of the *)
11 (* v GNU General Public License Version 2 *)
13 (**************************************************************************)
15 (* This file was automatically generated: do not edit *********************)
17 set "baseuri" "cic:/matita/CoRN-Decl/model/setoids/Qsetoid".
19 include "CoRN_notation.ma".
21 (* $Id: Qsetoid.v,v 1.6 2004/04/06 15:46:05 lcf Exp $ *)
23 include "model/structures/Qsec.ma".
25 include "algebra/CSetoidFun.ma".
27 (*#* **Example of a setoid: [Q]
31 inline "cic:/CoRN/model/setoids/Qsetoid/ap_Q_irreflexive1.con".
33 inline "cic:/CoRN/model/setoids/Qsetoid/ap_Q_symmetric1.con".
35 inline "cic:/CoRN/model/setoids/Qsetoid/ap_Q_cotransitive1.con".
37 inline "cic:/CoRN/model/setoids/Qsetoid/ap_Q_tight1.con".
39 inline "cic:/CoRN/model/setoids/Qsetoid/ap_Q_is_apartness.con".
41 inline "cic:/CoRN/model/setoids/Qsetoid/Q_as_CSetoid.con".
46 inline "cic:/CoRN/model/setoids/Qsetoid/Qplus_wd.con".
48 inline "cic:/CoRN/model/setoids/Qsetoid/Qplus_strext1.con".
50 inline "cic:/CoRN/model/setoids/Qsetoid/Qplus_is_bin_fun.con".
52 (*#* It is associative and commutative.
55 inline "cic:/CoRN/model/setoids/Qsetoid/Qplus_is_assoc.con".
57 inline "cic:/CoRN/model/setoids/Qsetoid/Qplus_is_commut1.con".
62 inline "cic:/CoRN/model/setoids/Qsetoid/Qopp_wd.con".
64 inline "cic:/CoRN/model/setoids/Qsetoid/Qopp_strext.con".
66 inline "cic:/CoRN/model/setoids/Qsetoid/Qopp_is_fun.con".
68 (*#* ***Multiplication
71 inline "cic:/CoRN/model/setoids/Qsetoid/Qmult_wd.con".
73 inline "cic:/CoRN/model/setoids/Qsetoid/Qmult_strext1.con".
75 inline "cic:/CoRN/model/setoids/Qsetoid/Qmult_is_bin_fun.con".
77 (*#* It is associative and commutative.
80 inline "cic:/CoRN/model/setoids/Qsetoid/Qmult_is_assoc.con".
82 inline "cic:/CoRN/model/setoids/Qsetoid/Qmult_is_commut.con".
87 inline "cic:/CoRN/model/setoids/Qsetoid/Qlt_strext.con".
89 inline "cic:/CoRN/model/setoids/Qsetoid/Qlt_is_CSetoid_relation.con".