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.
Admitted.
Polymorphic Axiom funi@{i} : f unit@{i}.
Goal (forall U, f U) -> (*(f unit -> False) ->  *)False /\ False.
eauto using (fapp unit funi). (* The two fapp's have different universes *)
Qed.
Hint Resolve (fapp unit funi) : mylems.
Goal (forall U, f U) -> (*(f unit -> False) ->  *)False /\ False.
eauto with mylems. (* Forces the two fapps at the same level *)
Qed.
Goal (forall U, f U) -> (f unit -> False) -> False /\ False.
eauto. (* Forces the two fapps at the same level *)
Qed.
Polymorphic Definition MyType@{i} := Type@{i}.
Universes l m n.
Constraint l < m.
Polymorphic Axiom maketype@{i} : MyType@{i}.
Goal MyType@{l}.

Axiom foo : forall (A : Type), list A.