no goals
α : Type u_1
β : Type u_2
γ : Type ?u.271396
δ : Type ?u.271399
inst✝³ : MeasurableSpace α
inst✝² : MeasurableSpace β
inst✝¹ : MeasurableSpace γ
inst✝ : MeasurableSpace δ
μa : Measure α
μb : Measure β
μc : Measure γ
μd : Measure δ
f : α → β
hf : MeasurePreserving f
s : Set β
hs : MeasurableSet s
⊢ ↑↑μa (f ⁻¹' s) = ↑↑μb s
rw [← hf.map_eq, map_apply hf.1 hs]