Open Scope Z_scope.
(* Pierre L: examples gathered while debugging romega. *)
(* Starting from Coq 8.9 (late 2018), `romega` tactics are deprecated. The tests in this file remain but now call the `lia` tactic. *)

Lemma test_lia_2 : forall a b c:Z,
0<=a-b<=1 -> b-c<=2 -> a-c<=3.