proposition: Lemma derivable_Rball_sum_r: forall An r (rho: finite_cv_radius An r), derivable_Rball 0 r (sum_r An r rho).
proof: Proof. intros An r rho x x_in ; eexists ; apply derivable_pt_lim_in_sum_r ; 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