X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fcontribs%2FRELATIONAL%2FNLE%2Fdefs.ma;h=a9b33561db8d542265c989c5fd6898ff11aab35c;hb=94873bb61a663b4fca3dc6d07b7bb9f42122003e;hp=59c02653ef17d827cb897d817fbaef5dca6397bf;hpb=ac54ae2a52c5e5bda881d2d94f62548202184856;p=helm.git

diff --git a/matita/contribs/RELATIONAL/NLE/defs.ma b/matita/contribs/RELATIONAL/NLE/defs.ma
index 59c02653e..a9b33561d 100644
--- a/matita/contribs/RELATIONAL/NLE/defs.ma
+++ b/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).