proposition: Lemma derivable_pt_weaksum_r : forall An (r:R) (Pr : Cv_radius_weak An r) x, Rabs x < r -> derivable_pt (weaksum_r An r Pr) x.
proof: Proof. intros An r rho x x_bd ; eexists ; eapply derivable_pt_lim_weaksum_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