X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2FCoRN-Decl%2Fmodel%2Fsetoids%2FNsetoid.ma;h=b3bf1fc3d89bd4d5b4de6f21bd84c6671791d6b3;hb=80110e17ef1d38d71473e9471ce15beddde663bb;hp=b7045b8e20a20ae706c778839b4acd8660238711;hpb=3199f2a8428b5d19a3a803c1b03d9f90e4120f74;p=helm.git diff --git a/helm/software/matita/contribs/CoRN-Decl/model/setoids/Nsetoid.ma b/helm/software/matita/contribs/CoRN-Decl/model/setoids/Nsetoid.ma index b7045b8e2..b3bf1fc3d 100644 --- a/helm/software/matita/contribs/CoRN-Decl/model/setoids/Nsetoid.ma +++ b/helm/software/matita/contribs/CoRN-Decl/model/setoids/Nsetoid.ma @@ -16,53 +16,51 @@ 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 -Nsec -*) +include "model/structures/Nsec.ma". -(* INCLUDE -CSetoidFun -*) +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_irreflexive.con". -inline cic:/CoRN/model/setoids/Nsetoid/ap_nat_symmetric.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_cotransitive.con". -inline cic:/CoRN/model/setoids/Nsetoid/ap_nat_tight.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/ap_nat_is_apartness.con". -inline cic:/CoRN/model/setoids/Nsetoid/nat_as_CSetoid.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_wd.con". -inline cic:/CoRN/model/setoids/Nsetoid/plus_strext.con. +inline "cic:/CoRN/model/setoids/Nsetoid/plus_strext.con". -inline cic:/CoRN/model/setoids/Nsetoid/plus_is_bin_fun.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_assoc.con". -inline cic:/CoRN/model/setoids/Nsetoid/plus_is_commut.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_strext.con". -inline cic:/CoRN/model/setoids/Nsetoid/mult_as_bin_fun.con. +inline "cic:/CoRN/model/setoids/Nsetoid/mult_as_bin_fun.con".