Definition consTailCP {T:Type} {n:nat} (cp : cartesianPower T n) (t : T) : (cartesianPower T (S n)).

Lemma consTailCPOK {T:Type} {n:nat} : forall (cp : cartesianPower T (S (S n))), cp = consTailCP (allButLastCP cp) (lastCP cp).