NLE is now derived fron NPlus rather than being a stand-alone relation

[helm.git] / helm / software / matita / contribs / RELATIONAL / NLE / defs.ma

diff --git a/helm/software/matita/contribs/RELATIONAL/NLE/defs.ma b/helm/software/matita/contribs/RELATIONAL/NLE/defs.ma
index 59c02653ef17d827cb897d817fbaef5dca6397bf..a9b33561db8d542265c989c5fd6898ff11aab35c 100644 (file)
--- a/helm/software/matita/contribs/RELATIONAL/NLE/defs.ma
+++ b/helm/software/matita/contribs/RELATIONAL/NLE/defs.ma
@@ -14,20 +14,16 @@
 
 set "baseuri" "cic:/matita/RELATIONAL/NLE/defs".
 
-include "logic/equality.ma".
+include "NPlus/defs.ma".
 
-include "Nat/defs.ma".
-
-inductive NLE: Nat \to Nat \to Prop \def
-   | NLE_zero: \forall q. NLE zero q
-   | NLE_succ: \forall p,q. NLE p q \to NLE (succ p) (succ q)
-.
+definition NLE: Nat \to Nat \to Prop \def
+   \lambda q,r. \exists p. (p + q == r). 
 
 (*CSC: the URI must disappear: there is a bug now *)
-interpretation "natural 'less or equal to'" 'leq x y = 
-   (cic:/matita/RELATIONAL/NLE/defs/NLE.ind#xpointer(1/1) x y).
+interpretation "natural 'less or equal to'" 'leq x y =
+   (cic:/matita/RELATIONAL/NLE/defs/NLE.con x y).
 
 (*CSC: the URI must disappear: there is a bug now *)
 interpretation "natural 'less than'" 'lt x y = 
-   (cic:/matita/RELATIONAL/NLE/defs/NLE.ind#xpointer(1/1) 
+   (cic:/matita/RELATIONAL/NLE/defs/NLE.con 
       (cic:/matita/RELATIONAL/Nat/defs/Nat.ind#xpointer(1/1/2) x) y).