no goals
α : Type u_1
α' : Type ?u.4499304
β : Type u_2
β' : Type ?u.4499310
γ : Type ?u.4499313
E : Type ?u.4499316
inst✝⁷ : MeasurableSpace α
inst✝⁶ : MeasurableSpace α'
inst✝⁵ : MeasurableSpace β
inst✝⁴ : MeasurableSpace β'
inst✝³ : MeasurableSpace γ
μ✝ μ' : Measure α
ν ν' : Measure β
τ : Measure γ
inst✝² : NormedAddCommGroup E
inst✝¹ : SigmaFinite ν
inst✝ : SigmaFinite μ✝
μ : Measure α
⊢ Measure.prod μ 0 = 0
simp [Measure.prod]