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+Require Import Setoid.
+
+Parameter eq : relation nat.
+Declare Instance Equivalence_eq : Equivalence eq.
+
+Lemma foo : forall z, eq z 0 -> forall x, eq x 0 -> eq z x.
+Proof.
+intros z Hz x Hx.
+rewrite <- Hx in Hz.
+destruct z.
+Abort.
+