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 "NPlus/defs.ma".
19 inductive NLE (q:Nat) (r:Nat): Prop \def
20 | nle_nplus: \forall p. (p + q == r) \to NLE q r.
22 (*CSC: the URI must disappear: there is a bug now *)
23 interpretation "natural 'greater or equal to'" 'geq y x=
24 (cic:/matita/RELATIONAL/NLE/defs/NLE.ind#xpointer(1/1) x y).
26 (*CSC: the URI must disappear: there is a bug now *)
27 interpretation "natural 'greater than'" 'gt y x =
28 (cic:/matita/RELATIONAL/NLE/defs/NLE.ind#xpointer(1/1)
29 (cic:/matita/RELATIONAL/datatypes/Nat/Nat.ind#xpointer(1/1/2) x) y).
31 (*CSC: the URI must disappear: there is a bug now *)
32 interpretation "natural 'less or equal to'" 'leq x y =
33 (cic:/matita/RELATIONAL/NLE/defs/NLE.ind#xpointer(1/1) x y).
35 (*CSC: the URI must disappear: there is a bug now *)
36 interpretation "natural 'less than'" 'lt x y =
37 (cic:/matita/RELATIONAL/NLE/defs/NLE.ind#xpointer(1/1)
38 (cic:/matita/RELATIONAL/datatypes/Nat/Nat.ind#xpointer(1/1/2) x) y).