X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fcontribs%2FCoRN-Decl%2Fmodel%2Fsetoids%2FNsetoid.ma;fp=matita%2Fcontribs%2FCoRN-Decl%2Fmodel%2Fsetoids%2FNsetoid.ma;h=b3bf1fc3d89bd4d5b4de6f21bd84c6671791d6b3;hp=0000000000000000000000000000000000000000;hb=f61af501fb4608cc4fb062a0864c774e677f0d76;hpb=58ae1809c352e71e7b5530dc41e2bfc834e1aef1 diff --git a/matita/contribs/CoRN-Decl/model/setoids/Nsetoid.ma b/matita/contribs/CoRN-Decl/model/setoids/Nsetoid.ma new file mode 100644 index 000000000..b3bf1fc3d --- /dev/null +++ b/matita/contribs/CoRN-Decl/model/setoids/Nsetoid.ma @@ -0,0 +1,66 @@ +(**************************************************************************) +(* ___ *) +(* ||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/Nsetoid". + +include "CoRN.ma". + +(* $Id: Nsetoid.v,v 1.4 2004/04/06 15:46:04 lcf Exp $ *) + +include "model/structures/Nsec.ma". + +include "algebra/CSetoidFun.ma". + +(*#* **Example of a setoid: [nat] + +We will show that the natural numbers form a CSetoid. +*) + +inline "cic:/CoRN/model/setoids/Nsetoid/ap_nat_irreflexive.con". + +inline "cic:/CoRN/model/setoids/Nsetoid/ap_nat_symmetric.con". + +inline "cic:/CoRN/model/setoids/Nsetoid/ap_nat_cotransitive.con". + +inline "cic:/CoRN/model/setoids/Nsetoid/ap_nat_tight.con". + +inline "cic:/CoRN/model/setoids/Nsetoid/ap_nat_is_apartness.con". + +inline "cic:/CoRN/model/setoids/Nsetoid/nat_as_CSetoid.con". + +(*#* ***Addition +*) + +inline "cic:/CoRN/model/setoids/Nsetoid/plus_wd.con". + +inline "cic:/CoRN/model/setoids/Nsetoid/plus_strext.con". + +inline "cic:/CoRN/model/setoids/Nsetoid/plus_is_bin_fun.con". + +(*#* It is associative and commutative. +*) + +inline "cic:/CoRN/model/setoids/Nsetoid/plus_is_assoc.con". + +inline "cic:/CoRN/model/setoids/Nsetoid/plus_is_commut.con". + +(*#* ***Multiplication +*) + +inline "cic:/CoRN/model/setoids/Nsetoid/mult_strext.con". + +inline "cic:/CoRN/model/setoids/Nsetoid/mult_as_bin_fun.con". +