proposition: Lemma An_deriv_plus_compat : forall An Bn, An_deriv (An + Bn) == (An_deriv An) + (An_deriv Bn).
proof: Proof. intros An Bn n ; unfold Rseq_opp, An_deriv, Rseq_mult, Rseq_shift, Rseq_plus ; apply Rmult_plus_distr_l. 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