proposition: Lemma RiemannInt_add_1 : forall (f g:R -> R) (a b:R) (prf:Riemann_integrable f a b) (prg:Riemann_integrable g a b), a <= b -> RiemannInt prf + RiemannInt prg = RiemannInt (Riemann_integrable_add f g a b prf prg).
proof: Proof. intros. apply RiemannInt_add. apply H. Qed.
imports: PeanoNat Reals Lra RiemannInt Rfunction_classes_def Rextensionality