+++ /dev/null
-(**************************************************************************)
-(* ___ *)
-(* ||M|| *)
-(* ||A|| A project by Andrea Asperti *)
-(* ||T|| *)
-(* ||I|| Developers: *)
-(* ||T|| The HELM team. *)
-(* ||A|| http://helm.cs.unibo.it *)
-(* \ / *)
-(* \ / This file is distributed under the terms of the *)
-(* v GNU General Public License Version 2 *)
-(* *)
-(**************************************************************************)
-
-
-
-include "NLE/order.ma".
-
-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: ∀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; destruct; autobatch depth = 4
- ].
-qed.