X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2FRELATIONAL%2FNLE%2Fprops.ma;h=ba563b7af941c80e46916fe3b532b0b0652c2283;hb=d9824956d9132109ed5f23380a0a1f9c5181d18a;hp=db1476309eeca1e40e17833d0705519e1e49c6b8;hpb=00e0c1d5cff8d5b5588185e1a70352a2e7a1a8e9;p=helm.git

diff --git a/helm/software/matita/contribs/RELATIONAL/NLE/props.ma b/helm/software/matita/contribs/RELATIONAL/NLE/props.ma
index db1476309..ba563b7af 100644
--- a/helm/software/matita/contribs/RELATIONAL/NLE/props.ma
+++ b/helm/software/matita/contribs/RELATIONAL/NLE/props.ma
@@ -12,20 +12,20 @@
 (*                                                                        *)
 (**************************************************************************)
 
-set "baseuri" "cic:/matita/RELATIONAL/NLE/props".
+
 
 include "NLE/order.ma".
 
-theorem nle_trans_succ: \forall x,y. x <= y \to x <= succ y.
- intros. elim H; clear H x y; auto.
+theorem nle_trans_succ: ∀x,y. x ≤ y → x ≤ succ y.
+ intros; elim H; clear H x y; autobatch.
 qed.
 
-theorem nle_gt_or_le: \forall x, y. y > x \lor y <= x.
+theorem nle_gt_or_le: ∀x, y. y > x ∨ y ≤ x.
  intros 2; elim y; clear y;
- [ auto
+ [ autobatch
  | decompose;
    [ lapply linear nle_inv_succ_1 to H1
    | lapply linear nle_lt_or_eq to H1
-   ]; decompose; subst; auto depth = 4
+   ]; decompose; destruct; autobatch depth = 4
  ].
 qed.