X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2FRELATIONAL%2FNLE%2Fdefs.ma;h=535b717aa21326eab8fa99d72316df68ff92c780;hb=d9824956d9132109ed5f23380a0a1f9c5181d18a;hp=2cea043d533207c7c7a8c1e3f0475a69965b6d34;hpb=d51cbf8e8a8855d458eb7f53c017160892e42d47;p=helm.git

diff --git a/helm/software/matita/contribs/RELATIONAL/NLE/defs.ma b/helm/software/matita/contribs/RELATIONAL/NLE/defs.ma
index 2cea043d5..535b717aa 100644
--- a/helm/software/matita/contribs/RELATIONAL/NLE/defs.ma
+++ b/helm/software/matita/contribs/RELATIONAL/NLE/defs.ma
@@ -12,27 +12,29 @@
 (*                                                                        *)
 (**************************************************************************)
 
-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).