Variable f : Pi (A : Type), A -> Bool print fun (A B : Type) (a : _), f B a -- The following one should produce an error print fun (A : Type) (a : _) (B : Type), f B a Variable myeq : Pi A : (Type U), A -> A -> Bool print myeq _ (fun (A : Type) (a : _), a) (fun (B : Type) (b : B), b) Check myeq _ (fun (A : Type) (a : _), a) (fun (B : Type) (b : B), b) Variable R : Type -> Bool Variable h : (Pi (A : Type), R A) -> Bool Check (fun (H : Bool) (f1 : Pi (A : Type), R _) (g1 : Pi (A : Type), R A) (G : Pi (A : Type), myeq _ (f1 _) (g1 A)), h f1)