proposition: Lemma infinite_cv_radius_scal_compat : forall (An : Rseq) (lam : R), lam <> 0 -> (infinite_cv_radius An <-> infinite_cv_radius (lam * An)%Rseq).
proof: Proof. intros An lam lam_neq ; split ; intros rho r ; [rewrite <- Cv_radius_weak_scal | rewrite (Cv_radius_weak_scal _ lam)] ; auto. 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