Definition KSApplicative (i j : Type) : Applicative.Definition Compose_pure (a:Type) (x:a) : FG a :=
  pure F (pure G x).Definition Compose_ap (a b:Type) (f:FG (a -> b)) (x:FG a) : FG b :=
 ap (ap (pure F (fun g x => ap g x)) f) x.

Lemma Compose_interchange a b (f : FG (a -> b)) x : Compose_ap f (Compose_pure x) = Compose_ap (Compose_pure (fun g => g x)) f.