proposition: Lemma zero_infinite_cv_radius : infinite_cv_radius zero_seq.
proof: Proof. intro r ; exists 0 ; intros x [n Hn] ; subst ; unfold gt_abs_pser, gt_pser, Rseq_abs, Rseq_mult, Rseq_constant ; rewrite Rmult_0_l, Rabs_R0 ; reflexivity. Qed.
imports: MyReals MyINR MyNNR Rsequence_def Rsequence_facts Rsequence_cv_facts Rsequence_sums_facts Rsequence_base_facts Rsequence_rewrite_facts Rsequence_usual_facts Rsequence_subsequence PeanoNat Lra Rpser_def Rpser_def_simpl Rpser_base_facts Rpser_cv_facts Rpser_radius_facts Rpser_sums Rpser_derivative Rpser_derivative_facts Rfunction_def Functions Rextensionality Rpow_facts Rinterval Ranalysis_def Ranalysis_def_simpl Ranalysis_continuity Ranalysis_derivability Ranalysis_monotonicity