∀ {ε : Type u_3} [inst : TopologicalSpace ε] [inst_1 : ENormedAddMonoid ε] [TopologicalSpace.PseudoMetrizableSpace ε]
  {f : ℝ → ε} {a b : ℝ} {μ : MeasureTheory.Measure ℝ},
  a ≤ b → (IntervalIntegrable f μ a b ↔ MeasureTheory.IntegrableOn f (Set.Ioc a b) μ)