∀ {E : Type u_1} [inst : NormedAddCommGroup E] {f : ℝ → E} {T t : ℝ},
  Function.Periodic f T →
    0 < T →
      autoParam (‖f (min t (t + T))‖ₑ ≠ ⊤) Function.Periodic.intervalIntegrable._auto_1 →
        IntervalIntegrable f MeasureTheory.volume t (t + T) →
          ∀ (a₁ a₂ : ℝ), IntervalIntegrable f MeasureTheory.volume a₁ a₂