fact: Definition CVN_r (fn : nat -> C -> C) (r : posreal) := {An : nat -> C & {l : R | Rseq_cv (fun n : nat => sum_f_R0 (fun k : nat => Cnorm (An k)) n) l /\ (forall (n : nat) (y : C), Boule 0 r y -> Cnorm (fn n y) <= Cnorm (An n))}}.
imports: Rlimit Cbase Ctacfield Cnorm Cprop_base Rsequence_def Csequence Csequence_facts Cfunctions