Section PolyOverRing.
Context (S : pred_class) (ringS : @subringPred R S) (kS : keyed_pred ringS).
Canonical polyOver_smulrPred := SmulrPred (polyOver_mulr_closed kS).
Canonical polyOver_subringPred := SubringPred (polyOver_mulr_closed kS).

Lemma derivC c : c%:P^`() = 0.
Fact deriv_is_linear : linear deriv.