proposition: Lemma finite_cv_radius_abs_compat : forall (An : Rseq) (r : R), finite_cv_radius An r <-> finite_cv_radius (| An |) r.
proof: Proof. intros An r ; split ; intros [H_inf H_sup]. split ; intros r' ; rewrite <- Cv_radius_weak_abs ; [apply H_inf | apply H_sup]. split ; intros r' ; rewrite Cv_radius_weak_abs ; [apply H_inf | apply H_sup] ; assumption. Qed.
imports: Reals Rpser_def Rpser_def_simpl Rinterval Rsequence_def Rsequence_base_facts Rsequence_subsequence Rsequence_rewrite_facts Rsequence_cv_facts Rsequence_facts Rsequence_bound_facts Rsequence_sums_facts Rpow_facts PeanoNat Lra MyRIneq MyNat MyNNR