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+Require Import Coq.ZArith.ZArith.
+Require Import Coq.micromega.Lia.
+Local Open Scope Z_scope.
+
+Module Z.
+ Lemma positive_is_nonzero : forall x, x > 0 -> x <> 0.
+ Proof. intros; omega. Qed.
+ Hint Resolve positive_is_nonzero : zarith.
+End Z.