Canonical deriv_additive := Additive deriv_is_linear.
Canonical deriv_linear := Linear deriv_is_linear.

Lemma derivM p q : (p * q)^`() = p^`() * q + p * q^`().
Definition derivE := Eval lazy beta delta [morphism_2 morphism_1] in
(derivZ, deriv_mulC, derivC, derivX, derivMXaddC, derivXsubC, derivM, derivB,
derivD, derivN, derivXn, derivM, derivMn).