Parameter u1 : R -> R.

(* Specifications: *)
Lemma Cu1 : forall x, continuity_pt (fun u => u1 u) x.
Lemma continuity_implies_ex_Rint: forall f a b, (forall x, continuity_pt f x) -> ex_RInt f a b.
Lemma Iu1: forall a b, ex_RInt (fun u => u1 u) a b.