X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fcontribs%2FRELATIONAL%2FNLE%2Fdefs.ma;h=18fc87b107ddc038b0b997322d0a9a5501283239;hb=ed9f80229efee54f0448612e21fa6608f7de79a0;hp=2cea043d533207c7c7a8c1e3f0475a69965b6d34;hpb=ac7831c825d6c3227053f3e339a53b10e3e7118f;p=helm.git

diff --git a/matita/contribs/RELATIONAL/NLE/defs.ma b/matita/contribs/RELATIONAL/NLE/defs.ma
index 2cea043d5..18fc87b10 100644
--- a/matita/contribs/RELATIONAL/NLE/defs.ma
+++ b/matita/contribs/RELATIONAL/NLE/defs.ma
@@ -16,23 +16,25 @@ 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).