∀ {E : Type u_1} {f f' : ℝ → E} {a : ℝ} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] [CompleteSpace E],
  (∀ x ∈ Set.Ioi a, HasDerivAt f (f' x) x) →
    MeasureTheory.IntegrableOn f' (Set.Ioi a) MeasureTheory.volume →
      Filter.Tendsto f Filter.atTop (nhds (limUnder Filter.atTop f))