proposition: Lemma Cv_radius_weak_ext : forall r, Cv_radius_weak An r <-> Cv_radius_weak Bn r.
proof: Proof. intro r ; split ; intros [B HB] ; exists B ; intros x [i Hi] ; subst ; [rewrite <- (gt_abs_pser_ext _ _ _ AnBn_ext) | rewrite (gt_abs_pser_ext _ _ _ AnBn_ext)] ; apply HB ; exists i ; 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