proposition: Lemma continuity_pt_sum : forall (An:nat->R) (Pr : infinite_cv_radius An) x, continuity_pt (sum An Pr) x.
proof: Proof. intros An rho x ; apply derivable_continuous_pt ; apply derivable_pt_sum. 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