X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fcontribs%2FRELATIONAL%2FNLE%2Fdefs.ma;h=18fc87b107ddc038b0b997322d0a9a5501283239;hb=c4df237cf74270f9e4aa164d5fe0415181406a49;hp=a9b33561db8d542265c989c5fd6898ff11aab35c;hpb=31bcb2d7cb6fc4c01af9d62b6ede25a9b82308aa;p=helm.git

diff --git a/matita/contribs/RELATIONAL/NLE/defs.ma b/matita/contribs/RELATIONAL/NLE/defs.ma
index a9b33561d..18fc87b10 100644
--- a/matita/contribs/RELATIONAL/NLE/defs.ma
+++ b/matita/contribs/RELATIONAL/NLE/defs.ma
@@ -16,14 +16,25 @@ set "baseuri" "cic:/matita/RELATIONAL/NLE/defs".
 
 include "NPlus/defs.ma".
 
-definition NLE: Nat \to Nat \to Prop \def
-   \lambda q,r. \exists p. (p + 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 '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 'greater than'" 'gt y x = 
+   (cic:/matita/RELATIONAL/NLE/defs/NLE.ind#xpointer(1/1) 
+      (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 'less or equal to'" 'leq x y =
-   (cic:/matita/RELATIONAL/NLE/defs/NLE.con 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 'less than'" 'lt x y = 
-   (cic:/matita/RELATIONAL/NLE/defs/NLE.con 
-      (cic:/matita/RELATIONAL/Nat/defs/Nat.ind#xpointer(1/1/2) x) y).
+   (cic:/matita/RELATIONAL/NLE/defs/NLE.ind#xpointer(1/1) 
+      (cic:/matita/RELATIONAL/datatypes/Nat/Nat.ind#xpointer(1/1/2) x) y).