#[deprecated(since="8.16",note="Use cv_infty_cv_0.")]
Notation cv_infty_cv_R0 := cv_infty_cv_R0_depr.

(* Specifications: *)
(**********)
Lemma decreasing_prop :
forall (Un:nat -> R) (m n:nat),
Un_decreasing Un -> (m <= n)%nat -> Un n <= Un m.
(** |x|^n/n! -> 0 *)
Lemma cv_speed_pow_fact :
forall x:R, Un_cv (fun n:nat => x ^ n / INR (fact n)) 0.