proposition: Lemma series_cv_abs_eq : forall {R : ConstructiveReals} (u : nat -> CRcarrier R) (a : CRcarrier R) (cau : CR_cauchy R (CRsum (fun n => CRabs R (u n)))), series_cv u a -> (a == (let (l,_):= series_cv_abs u cau in l))%ConstructiveReals.
proof: Proof. intros. destruct (series_cv_abs u cau). apply (series_cv_unique u). - exact H. - exact s. Qed.
imports: QArith Qabs ConstructiveReals ConstructiveRealsMorphisms ConstructiveAbs ConstructiveLimits