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+Module JGross.
+  Hint Extern 1 => match goal with |- match ?E with end => case E end.
+
+  Goal forall H : False, match H return Set with end.
+  Proof.
+    intros.
+    Fail solve [ eauto ]. (* No applicable tactic *)
+    admit.
+  Qed.
+End JGross.
+
+Section BenDelaware.
+  Hint Extern 0 => admit.
+  Goal forall (H : False), id (match H return Set with end).
+  Proof.
+    eauto.
+  Qed.
+  Goal forall (H : False), match H return Set with end.
+  Proof.
+    Fail solve [ eauto ] .
+    admit.
+  Qed.
+End BenDelaware.