proposition: Lemma Cv_radius_weak_abs : forall (An : Rseq) (r : R), Cv_radius_weak An r <-> Cv_radius_weak (| An |) r.
proof: Proof. intros An r ; split ; intros [B HB] ; exists B ; intros x [n Hn] ; subst ; [rewrite gt_abs_pser_Rseq_abs_compat | rewrite <- gt_abs_pser_Rseq_abs_compat] ; apply HB ; exists n ; 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