proposition: Lemma sum_r_derive_sums : forall An r (Pr : finite_cv_radius An r) x, Rabs x < r -> Rpser (An_deriv An) x (sum_r_derive An r Pr x).
proof: Proof. intros ; apply sum_r_sums ; assumption. Qed.
imports: Reals Rpow_facts Rfunction_def Rinterval Rextensionality Ranalysis_def Ranalysis_def_simpl Ranalysis_facts Ranalysis_continuity Ranalysis_derivability Ranalysis_monotonicity Lra MyRIneq Rsequence_facts Rsequence_sums_facts RFsequence RFsequence_facts Rpser_def Rpser_base_facts Rpser_radius_facts Rpser_sums Rpser_sums_facts Tactics