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+Module a.
+ Local Hint Extern 0 => progress subst.
+ Goal forall T (x y : T) (P Q : _ -> Prop), x = y -> (P x -> Q x) -> P y -> Q y.
+ Proof.
+ intros.
+ (* this should not fail *)
+ progress eauto.
+ Defined.
+End a.
+
+Module b.
+ Local Hint Extern 0 => progress subst.
+ Goal forall T (x y : T) (P Q : _ -> Prop), y = x -> (P x -> Q x) -> P y -> Q y.
+ Proof.
+ intros.
+ eauto.
+ Defined.
+End b.
+
+Module c.
+ Local Hint Extern 0 => progress subst; eauto.
+ Goal forall T (x y : T) (P Q : _ -> Prop), x = y -> (P x -> Q x) -> P y -> Q y.
+ Proof.
+ intros.
+ eauto.
+ Defined.
+End c.
+
+Module d.
+ Local Hint Extern 0 => progress subst; repeat match goal with H : _ |- _ => revert H end.
+ Goal forall T (x y : T) (P Q : _ -> Prop), x = y -> (P x -> Q x) -> P y -> Q y.
+ Proof.
+ intros.
+ debug eauto.
+ Defined.
+End d.