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+Require Import Omega.
+
+Lemma foo : forall n m : Z, (n >= 0)%Z -> (n * m >= 0)%Z -> (n <= n + n * m)%Z.
+Proof.
+ intros. omega.
+Qed.
+
+Lemma foo' : forall n m : nat, n <= n + n * m.
+Proof.
+ intros. Fail omega.
+Abort.
+