proposition: Lemma An_deriv_mult_compat_r : forall An Bn, An_deriv (An * Bn) == Rseq_shift An * An_deriv Bn.
proof: Proof. intros An Bn n ; unfold An_deriv, Rseq_mult, Rseq_shift ; ring. Qed.
imports: Reals Rpser_def Rpser_def_simpl Rinterval Rsequence_def Rsequence_base_facts Rsequence_subsequence Rsequence_rewrite_facts Rsequence_cv_facts Rsequence_facts Rsequence_bound_facts Rsequence_sums_facts Rpow_facts PeanoNat Lra MyRIneq MyNat MyNNR