∀ {X : Type u_1} {E : Type u_3} {mX : MeasurableSpace X} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E]
  {f : X → E} {μ : MeasureTheory.Measure X} [inst_2 : PartialOrder X] {x : X} [MeasureTheory.NoAtoms μ],
  ∫ (t : X) in Set.Ici x, f t ∂μ = ∫ (t : X) in Set.Ioi x, f t ∂μ