]> matita.cs.unibo.it Git - helm.git/blobdiff - helm/software/matita/contribs/RELATIONAL/NLE/props.ma
removing old contribs
[helm.git] / helm / software / matita / contribs / RELATIONAL / NLE / props.ma
index 3654b7d898bcb0c29f0136f50cd8f40245225db2..ba563b7af941c80e46916fe3b532b0b0652c2283 100644 (file)
 (*                                                                        *)
 (**************************************************************************)
 
-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; autobatch.
+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;
  [ autobatch
  | decompose;
    [ lapply linear nle_inv_succ_1 to H1
    | lapply linear nle_lt_or_eq to H1
-   ]; decompose; subst; autobatch depth = 4
+   ]; decompose; destruct; autobatch depth = 4
  ].
 qed.