proposition: Lemma Cv_radius_weak_Rabs : forall (An : Rseq) (r : R), Cv_radius_weak An (Rabs r) <-> Cv_radius_weak An r.
proof: Proof. intros An r ; split ; intros [B HB] ; exists B ; intros y [i Hi] ; subst ; apply HB ; exists i ; rewrite gt_abs_pser_Rabs_compat ; reflexivity. 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