Module foo. Context (Char : Type). Axiom foo : Type -> Type. Goal foo Char = foo Char. change foo with (fun x => foo x). cbv beta. reflexivity. Defined. End foo. Inductive foo (A : Type) : Prop := I. (*Top.1*) Lemma bar : foo Type. (*Top.3*) Proof. Set Printing Universes. change foo with (fun x : Type => foo x). (*Top.4*) cbv beta. apply I. (* I Type@{Top.3} : (fun x : Type@{Top.4} => foo x) Type@{Top.3} *) Defined.