∀ {ι : Type u_1} {E : Type u_3} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] {f : ℝ → E} {a : ℝ} {c : E}
  {l l' : Filter ℝ} {lt : Filter ι} {μ : MeasureTheory.Measure ℝ} {u v : ι → ℝ} [MeasureTheory.IsLocallyFiniteMeasure μ]
  [CompleteSpace E] [intervalIntegral.FTCFilter a l l'],
  StronglyMeasurableAtFilter f l' μ →
    Filter.Tendsto f (l' ⊓ MeasureTheory.ae μ) (nhds c) →
      Filter.Tendsto u lt l →
        Filter.Tendsto v lt l →
          v ≤ᶠ[lt] u →
            (fun t => ∫ (x : ℝ) in u t..v t, f x ∂μ + μ.real (Set.Ioc (v t) (u t)) • c) =o[lt] fun t =>
              μ.real (Set.Ioc (v t) (u t))