X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fcontribs%2FCoRN-Decl%2Fmodel%2Fsetoids%2FQsetoid.ma;fp=matita%2Fcontribs%2FCoRN-Decl%2Fmodel%2Fsetoids%2FQsetoid.ma;h=71cdafa4a204f6d2e0c318dbc2b3ac29a2d19842;hp=0000000000000000000000000000000000000000;hb=f61af501fb4608cc4fb062a0864c774e677f0d76;hpb=58ae1809c352e71e7b5530dc41e2bfc834e1aef1 diff --git a/matita/contribs/CoRN-Decl/model/setoids/Qsetoid.ma b/matita/contribs/CoRN-Decl/model/setoids/Qsetoid.ma new file mode 100644 index 000000000..71cdafa4a --- /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". +