branch for universe

[helm.git] / matita / contribs / CoRN-Decl / model / setoids / Qsetoid.ma

diff --git a/matita/contribs/CoRN-Decl/model/setoids/Qsetoid.ma b/matita/contribs/CoRN-Decl/model/setoids/Qsetoid.ma
new file mode 100644 (file)
index 0000000..71cdafa
--- /dev/null
+++ b/matita/contribs/CoRN-Decl/model/setoids/Qsetoid.ma
@@ -0,0 +1,90 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||M||                                                             *)
+(*      ||A||       A project by Andrea Asperti                           *)
+(*      ||T||                                                             *)
+(*      ||I||       Developers:                                           *)
+(*      ||T||         The HELM team.                                      *)
+(*      ||A||         http://helm.cs.unibo.it                             *)
+(*      \   /                                                             *)
+(*       \ /        This file is distributed under the terms of the       *)
+(*        v         GNU General Public License Version 2                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+(* This file was automatically generated: do not edit *********************)
+
+set "baseuri" "cic:/matita/CoRN-Decl/model/setoids/Qsetoid".
+
+include "CoRN.ma".
+
+(* $Id: Qsetoid.v,v 1.6 2004/04/06 15:46:05 lcf Exp $ *)
+
+include "model/structures/Qsec.ma".
+
+include "algebra/CSetoidFun.ma".
+
+(*#* **Example of a setoid: [Q]
+***Setoid
+*)
+
+inline "cic:/CoRN/model/setoids/Qsetoid/ap_Q_irreflexive1.con".
+
+inline "cic:/CoRN/model/setoids/Qsetoid/ap_Q_symmetric1.con".
+
+inline "cic:/CoRN/model/setoids/Qsetoid/ap_Q_cotransitive1.con".
+
+inline "cic:/CoRN/model/setoids/Qsetoid/ap_Q_tight1.con".
+
+inline "cic:/CoRN/model/setoids/Qsetoid/ap_Q_is_apartness.con".
+
+inline "cic:/CoRN/model/setoids/Qsetoid/Q_as_CSetoid.con".
+
+(*#* ***Addition
+*)
+
+inline "cic:/CoRN/model/setoids/Qsetoid/Qplus_wd.con".
+
+inline "cic:/CoRN/model/setoids/Qsetoid/Qplus_strext1.con".
+
+inline "cic:/CoRN/model/setoids/Qsetoid/Qplus_is_bin_fun.con".
+
+(*#* It is associative and commutative.
+*)
+
+inline "cic:/CoRN/model/setoids/Qsetoid/Qplus_is_assoc.con".
+
+inline "cic:/CoRN/model/setoids/Qsetoid/Qplus_is_commut1.con".
+
+(*#* ***Opposite
+*)
+
+inline "cic:/CoRN/model/setoids/Qsetoid/Qopp_wd.con".
+
+inline "cic:/CoRN/model/setoids/Qsetoid/Qopp_strext.con".
+
+inline "cic:/CoRN/model/setoids/Qsetoid/Qopp_is_fun.con".
+
+(*#* ***Multiplication
+*)
+
+inline "cic:/CoRN/model/setoids/Qsetoid/Qmult_wd.con".
+
+inline "cic:/CoRN/model/setoids/Qsetoid/Qmult_strext1.con".
+
+inline "cic:/CoRN/model/setoids/Qsetoid/Qmult_is_bin_fun.con".
+
+(*#* It is associative and commutative.
+*)
+
+inline "cic:/CoRN/model/setoids/Qsetoid/Qmult_is_assoc.con".
+
+inline "cic:/CoRN/model/setoids/Qsetoid/Qmult_is_commut.con".
+
+(*#* ***Less-than
+*)
+
+inline "cic:/CoRN/model/setoids/Qsetoid/Qlt_strext.con".
+
+inline "cic:/CoRN/model/setoids/Qsetoid/Qlt_is_CSetoid_relation.con".
+