Section RInt.
Context {V : CompleteNormedModule R_AbsRing}.
Definition RInt (f : R -> V) (a b : R) := iota (is_RInt f a b).
(** Correction of RInt *)
(* Lemma is_RInt_lim_seq (f : R -> R) (a b : R) : forall If : R, is_RInt f a b If -> is_lim_seq (RInt_val f a b) If. *)
(** ** Usual rewritings *)

Lemma RInt_point (a : R) (f : R -> V) :
RInt f a a = zero.