(* *)
(**************************************************************************)
-set "baseuri" "cic:/matita/RELATIONAL/NLE/defs".
+
include "NPlus/defs.ma".
-inductive NLE (q:Nat) (r:Nat): Prop \def
- | nle_nplus: \forall p. (p + q == r) \to NLE q r.
+inductive NLE: Nat \to Nat \to Prop \def
+ | nle_zero_1: \forall q. NLE zero q
+ | nle_succ_succ: \forall p,q. NLE p q \to NLE (succ p) (succ q)
+.
(*CSC: the URI must disappear: there is a bug now *)
-interpretation "natural 'less or equal to'" 'leq x y =
+interpretation "natural 'greater or equal to'" 'geq y x=
(cic:/matita/RELATIONAL/NLE/defs/NLE.ind#xpointer(1/1) x y).
(*CSC: the URI must disappear: there is a bug now *)
-interpretation "natural 'less than'" 'lt x y =
+interpretation "natural 'greater than'" 'gt y x =
(cic:/matita/RELATIONAL/NLE/defs/NLE.ind#xpointer(1/1)
- (cic:/matita/RELATIONAL/Nat/defs/Nat.ind#xpointer(1/1/2) x) y).
+ (cic:/matita/RELATIONAL/datatypes/Nat/Nat.ind#xpointer(1/1/2) x) y).
(*CSC: the URI must disappear: there is a bug now *)
-interpretation "natural 'greater or equal to'" 'geq y x=
+interpretation "natural 'less or equal to'" 'leq x y =
(cic:/matita/RELATIONAL/NLE/defs/NLE.ind#xpointer(1/1) x y).
(*CSC: the URI must disappear: there is a bug now *)
-interpretation "natural 'greater than'" 'gt y x =
+interpretation "natural 'less than'" 'lt x y =
(cic:/matita/RELATIONAL/NLE/defs/NLE.ind#xpointer(1/1)
- (cic:/matita/RELATIONAL/Nat/defs/Nat.ind#xpointer(1/1/2) x) y).
+ (cic:/matita/RELATIONAL/datatypes/Nat/Nat.ind#xpointer(1/1/2) x) y).