∀ {α : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E]
  [inst_2 : NormedAddCommGroup F] [inst_3 : NormedSpace ℝ F] {m : MeasurableSpace α} {μ μ' : MeasureTheory.Measure α}
  (T : Set α → E →L[ℝ] F),
  (∀ (s : Set α), MeasurableSet s → μ s = 0 → T s = 0) →
    MeasureTheory.FinMeasAdditive μ T →
      μ.AbsolutelyContinuous μ' →
        ∀ (f : ↥(MeasureTheory.Lp.simpleFunc E 1 μ)) (f' : ↥(MeasureTheory.Lp.simpleFunc E 1 μ')),
          ↑↑↑f =ᵐ[μ] ↑↑↑f' → MeasureTheory.L1.SimpleFunc.setToL1S T f = MeasureTheory.L1.SimpleFunc.setToL1S T f'