1 (**************************************************************************)
4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
10 (* \ / This file is distributed under the terms of the *)
11 (* v GNU General Public License Version 2 *)
13 (**************************************************************************)
15 (* This file was automatically generated: do not edit *********************)
17 set "baseuri" "cic:/matita/CoRN-Decl/model/setoids/Nsetoid".
19 (* $Id: Nsetoid.v,v 1.4 2004/04/06 15:46:04 lcf Exp $ *)
29 (*#* **Example of a setoid: [nat]
31 We will show that the natural numbers form a CSetoid.
34 inline cic:/CoRN/model/setoids/Nsetoid/ap_nat_irreflexive.con.
36 inline cic:/CoRN/model/setoids/Nsetoid/ap_nat_symmetric.con.
38 inline cic:/CoRN/model/setoids/Nsetoid/ap_nat_cotransitive.con.
40 inline cic:/CoRN/model/setoids/Nsetoid/ap_nat_tight.con.
42 inline cic:/CoRN/model/setoids/Nsetoid/ap_nat_is_apartness.con.
44 inline cic:/CoRN/model/setoids/Nsetoid/nat_as_CSetoid.con.
49 inline cic:/CoRN/model/setoids/Nsetoid/plus_wd.con.
51 inline cic:/CoRN/model/setoids/Nsetoid/plus_strext.con.
53 inline cic:/CoRN/model/setoids/Nsetoid/plus_is_bin_fun.con.
55 (*#* It is associative and commutative.
58 inline cic:/CoRN/model/setoids/Nsetoid/plus_is_assoc.con.
60 inline cic:/CoRN/model/setoids/Nsetoid/plus_is_commut.con.
62 (*#* ***Multiplication
65 inline cic:/CoRN/model/setoids/Nsetoid/mult_strext.con.
67 inline cic:/CoRN/model/setoids/Nsetoid/mult_as_bin_fun.con.