(* This file used to test the `romega` tactics. In Coq 8.9 (end of 2018), these tactics are deprecated. The tests in this file remain but now call the `lia` tactic. *)
(* Submitted by Xavier Urbain 18 Jan 2002 *)
(* Proposed by Pierre Crégut *)
intro.
lia.
Qed.
(* Proposed by Jean-Christophe Filliâtre *)

Lemma lem3 : forall x y : Z, x = y -> (x + x)%Z = (y + y)%Z.