Polymorphic Axiom inhabited@{u} : Type@{u} -> Prop.
Polymorphic Axiom unit@{u} : Type@{u}.
Polymorphic Axiom tt@{u} : inhabited unit@{u}.
Polymorphic Hint Resolve tt : the_lemmas.
Set Printing All.
Set Printing Universes.
Goal inhabited unit.
Universe u.

Axiom f : Type@{u} -> Prop.
Lemma fapp (X : Type) : f X -> False.