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+Require Import Omega.
+
+Lemma test_nat:
+ forall n, (5 + pred n <= 5 + n).
+Proof.
+ intros.
+ zify.
+ omega.
+Qed.
+
+Lemma test_N:
+ forall n, (5 + N.pred n <= 5 + n)%N.
+Proof.
+ intros.
+ zify.
+ omega.
+Qed.