set "baseuri" "cic:/matita/CoRN-Decl/model/setoids/Npossetoid".
+include "CoRN.ma".
+
(* $Id: Npossetoid.v,v 1.3 2004/04/06 15:46:04 lcf Exp $ *)
-(* INCLUDE
-Nsetoid
-*)
+include "model/setoids/Nsetoid.ma".
-(* INCLUDE
-Npossec
-*)
+include "model/structures/Npossec.ma".
-(* INCLUDE
-CSetoidFun
-*)
+include "algebra/CSetoidFun.ma".
(*#* **Example of a setoid: [Npos]
natural numbers.
*)
-inline cic:/CoRN/model/setoids/Npossetoid/Npos.con.
+inline "cic:/CoRN/model/setoids/Npossetoid/Npos.con".
-inline cic:/CoRN/model/setoids/Npossetoid/NposP.con.
+inline "cic:/CoRN/model/setoids/Npossetoid/NposP.con".
(*#* One and two are elements of it.
*)
-inline cic:/CoRN/model/setoids/Npossetoid/ONEpos.con.
+inline "cic:/CoRN/model/setoids/Npossetoid/ONEpos.con".
-inline cic:/CoRN/model/setoids/Npossetoid/TWOpos.con.
+inline "cic:/CoRN/model/setoids/Npossetoid/TWOpos.con".
(*#* ***Addition and multiplication
Because addition and multiplication preserve positivity, we can define
them on this subsetoid.
*)
-inline cic:/CoRN/model/setoids/Npossetoid/plus_resp_Npos.con.
+inline "cic:/CoRN/model/setoids/Npossetoid/plus_resp_Npos.con".
-inline cic:/CoRN/model/setoids/Npossetoid/Npos_plus.con.
+inline "cic:/CoRN/model/setoids/Npossetoid/Npos_plus.con".
-inline cic:/CoRN/model/setoids/Npossetoid/mult_resp_Npos.con.
+inline "cic:/CoRN/model/setoids/Npossetoid/mult_resp_Npos.con".
-inline cic:/CoRN/model/setoids/Npossetoid/Npos_mult.con.
+inline "cic:/CoRN/model/setoids/Npossetoid/Npos_mult.con".
(*#* The addition has no right unit on this set.
*)
-inline cic:/CoRN/model/setoids/Npossetoid/no_rht_unit_Npos1.con.
+inline "cic:/CoRN/model/setoids/Npossetoid/no_rht_unit_Npos1.con".
(*#* And the multiplication doesn't have an inverse, because there can't be an
inverse for 2.
*)
-inline cic:/CoRN/model/setoids/Npossetoid/no_inverse_Nposmult1.con.
+inline "cic:/CoRN/model/setoids/Npossetoid/no_inverse_Nposmult1.con".