some improvements

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

diff --git a/matita/contribs/RELATIONAL/NLE/defs.ma b/matita/contribs/RELATIONAL/NLE/defs.ma
index 19e45c3bcb56eec0ef2bec3a3b2c56008fdb6375..2cea043d533207c7c7a8c1e3f0475a69965b6d34 100644 (file)
--- a/matita/contribs/RELATIONAL/NLE/defs.ma
+++ b/matita/contribs/RELATIONAL/NLE/defs.ma
@@ -14,8 +14,25 @@
 
 set "baseuri" "cic:/matita/RELATIONAL/NLE/defs".
 
-include "Nat/defs.ma".
+include "NPlus/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).
+inductive NLE (q:Nat) (r:Nat): Prop \def
+   | nle_nplus: \forall p. (p + q == r) \to NLE 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).
+
+(*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/Nat/defs/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=
+   (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/Nat/defs/Nat.ind#xpointer(1/1/2) x) y).