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 set "baseuri" "cic:/matita/RELATIONAL/NLE/defs".
17 include "logic/equality.ma".
19 include "Nat/defs.ma".
21 inductive NLE: Nat \to Nat \to Prop \def
22 | NLE_zero: \forall q. NLE zero q
23 | NLE_succ: \forall p,q. NLE p q \to NLE (succ p) (succ q)
26 (*CSC: the URI must disappear: there is a bug now *)
27 interpretation "natural 'less or equal to'" 'leq x y =
28 (cic:/matita/RELATIONAL/NLE/defs/NLE.ind#xpointer(1/1) x y).
30 (*CSC: the URI must disappear: there is a bug now *)
31 interpretation "natural 'less than'" 'lt x y =
32 (cic:/matita/RELATIONAL/NLE/defs/NLE.ind#xpointer(1/1)
33 (cic:/matita/RELATIONAL/Nat/defs/Nat.ind#xpointer(1/1/2) x) y).