(** * Equivalence with standard library *)

(* Specifications: *)
Lemma ex_RInt_Reals_aux_1 (f : R -> R) (a b : R) :
forall pr : Riemann_integrable f a b,
is_RInt f a b (RiemannInt pr).
Lemma ex_RInt_Reals_1 (f : R -> R) (a b : R) :
Riemann_integrable f a b -> ex_RInt f a b.
Lemma ex_RInt_Reals_0 (f : R -> R) (a b : R) :
ex_RInt f a b -> Riemann_integrable f a b.
Lemma RInt_Reals (f : R -> R) (a b : R) :
forall pr, RInt f a b = @RiemannInt f a b pr.