α : Type u_1
β : Type u_2
γ : Type ?u.35722
δ : Type ?u.35725
inst✝ : MeasurableSpace α
s : Set α
hs : MeasurableSet (sᶜ)
f g : α →ₛ β
⊢ Set.piecewise (sᶜ) ↑f ↑g = Set.piecewise s ↑g ↑f
α : Type u_1
β : Type u_2
γ : Type ?u.35722
δ : Type ?u.35725
inst✝ : MeasurableSpace α
s : Set α
hs : MeasurableSet (sᶜ)
f g : α →ₛ β
⊢ ↑(piecewise (sᶜ) hs f g) = ↑(piecewise s (_ : MeasurableSet s) g f)
simp [hs]
no goals
α : Type u_1
β : Type u_2
γ : Type ?u.35722
δ : Type ?u.35725
inst✝ : MeasurableSpace α
s : Set α
hs : MeasurableSet (sᶜ)
f g : α →ₛ β
⊢ Set.piecewise (sᶜ) ↑f ↑g = Set.piecewise s ↑g ↑f
convert Set.piecewise_compl s f g