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+Lemma foo1 : nat -> True.
+Proof.
+intros _.
+assert (H : True -> True).
+{ abstract (exact (fun x => x)) using bar. }
+assert (H' : True).
+{ abstract (exact (bar I)) using qux. }
+exact H'.
+Qed.
+
+Lemma foo2 : True.
+Proof.
+assert (H : True -> True).
+{ abstract (exact (fun x => x)) using bar. }
+assert (H' : True).
+{ abstract (exact (bar I)) using qux. }
+assert (H'' : True).
+{ abstract (exact (bar qux)) using quz. }
+exact H''.
+Qed.
+
+Set Universe Polymorphism.
+
+Lemma foo3 : nat -> True.
+Proof.
+intros _.
+assert (H : True -> True).
+{ abstract (exact (fun x => x)) using bar. }
+assert (H' : True).
+{ abstract (exact (bar I)) using qux. }
+exact H'.
+Qed.
+
+Lemma foo4 : True.
+Proof.
+assert (H : True -> True).
+{ abstract (exact (fun x => x)) using bar. }
+assert (H' : True).
+{ abstract (exact (bar I)) using qux. }
+assert (H'' : True).
+{ abstract (exact (bar qux)) using quz. }
+exact H''.
+Qed.