Class CCCviaNatDed (A: Type) (prod expo: A -> A -> A) {ND: NatDed A}: Prop :=
isCCC: CartesianClosedCat.CCC A derives eq prod expo.

Lemma CCC_exp_prod2:
forall A prod expo {ND : NatDed A} {CCC: CCCviaNatDed A prod expo} B P (Q: B -> A),
prod P (exp Q) = exp (fun x => prod P (Q x)).