∀ {α : Type u_1} {E : Type u_2} {F : Type u_3} (𝕜 : Type u_6) [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E]
  [inst_2 : NormedAddCommGroup F] [inst_3 : NormedSpace ℝ F] {m : MeasurableSpace α} {μ : MeasureTheory.Measure α}
  [inst_4 : NormedRing 𝕜] [inst_5 : Module 𝕜 E] [inst_6 : Module 𝕜 F] [inst_7 : IsBoundedSMul 𝕜 E]
  [inst_8 : IsBoundedSMul 𝕜 F] [inst_9 : CompleteSpace F] {T : Set α → E →L[ℝ] F} {C : ℝ}
  (hT : MeasureTheory.DominatedFinMeasAdditive μ T C)
  (h_smul : ∀ (c : 𝕜) (s : Set α) (x : E), (T s) (c • x) = c • (T s) x) (f : ↥(MeasureTheory.Lp.simpleFunc E 1 μ)),
  (MeasureTheory.L1.setToL1' 𝕜 hT h_smul) ((MeasureTheory.Lp.simpleFunc.coeToLp α E ℝ) f) =
    (MeasureTheory.L1.SimpleFunc.setToL1SCLM α E μ hT) f