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+(* In the following code, the (superfluous) lemma [lem] is responsible
+for the failure of congruence. *)
+
+Definition f : nat -> Prop := fun x => True.
+
+Lemma lem : forall x, (True -> True) = ( True -> f x).
+Proof.
+ intros. reflexivity.
+Qed.
+
+Goal forall (x:nat), x = x.
+Proof.
+ intros.
+ assert (lem := lem).
+ (*clear ax.*)
+ congruence.
+Qed.
+