Inductive True : Prop := I. Class Lift (T : Type). Axiom closed_increment : forall {T} {H : Lift T}, True. Create HintDb core. Lemma closed_monotonic T (H : Lift T) : True. Proof. Set Printing Universes. auto using closed_increment. Show Universes. Qed. (* also fails with -nois, so the content of the hint database does not matter *)