α : Type u_1
β : Type u_2
inst✝¹ : MeasurableSpace α
inst✝ : MeasurableSpace β
f : α → β
hf : Measurable f
s : Set β
hs : MeasurableSet s
⊢ Measurable fun b => ↑↑(map f b) s
α : Type u_1
β : Type u_2
inst✝¹ : MeasurableSpace α
inst✝ : MeasurableSpace β
f : α → β
hf : Measurable f
⊢ Measurable fun μ => map f μ
refine' measurable_of_measurable_coe _ fun s hs => _
α : Type u_1
β : Type u_2
inst✝¹ : MeasurableSpace α
inst✝ : MeasurableSpace β
f : α → β
hf : Measurable f
s : Set β
hs : MeasurableSet s
⊢ Measurable fun b => ↑↑b (f ⁻¹' s)
α : Type u_1
β : Type u_2
inst✝¹ : MeasurableSpace α
inst✝ : MeasurableSpace β
f : α → β
hf : Measurable f
s : Set β
hs : MeasurableSet s
⊢ Measurable fun b => ↑↑(map f b) s
simp_rw [map_apply hf hs]
no goals
α : Type u_1
β : Type u_2
inst✝¹ : MeasurableSpace α
inst✝ : MeasurableSpace β
f : α → β
hf : Measurable f
s : Set β
hs : MeasurableSet s
⊢ Measurable fun b => ↑↑b (f ⁻¹' s)
exact measurable_coe (hf hs)