+++ /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 "NPlus/fun.ma".
-include "ZEq/defs.ma".
-
-theorem zeq_refl: ∀z. z ≈ z.
- intros; elim z. clear z.
- lapply (nplus_total a b); decompose;
- autobatch.
-qed.
-
-theorem zeq_sym: ∀z1,z2. z1 ≈ z2 → z2 ≈ z1.
- intros; elim H; clear H z1 z2; autobatch.
-qed.
-(*
-theorem zeq_trans: \forall z1,z2. z1 = z2 \to
- \forall z3. z2 = z3 \to z1 = z3.
- intros 3. elim H. clear H z1 z2.
- inversion H3. clear H3. intros. destruct.
- lapply (nplus_total n5 n6). decompose.
- lapply (nplus_total n4 n9). decompose.
- apply zeq.
-*)