no goals
G : Type u_1
H : Type ?u.206231
α : Type u_2
β : Type ?u.206237
E : Type ?u.206240
inst✝¹⁰ : Group G
inst✝⁹ : Group H
inst✝⁸ : MulAction G α
inst✝⁷ : MeasurableSpace α
inst✝⁶ : MulAction H β
inst✝⁵ : MeasurableSpace β
inst✝⁴ : NormedAddCommGroup E
s t✝ : Set α
μ : Measure α
inst✝³ : MeasurableSpace G
inst✝² : MeasurableSMul G α
inst✝¹ : SMulInvariantMeasure G α μ
inst✝ : Countable G
ν : Measure α
h : IsFundamentalDomain G s
f : α → ℝ≥0∞
t : Set α
⊢ (∑' (g : G), ∫⁻ (x : α) in t ∩ g⁻¹ • s, f x ∂μ) = ∑' (g : G), ∫⁻ (x : α) in g⁻¹ • (g • t ∩ s), f x ∂μ
simp only [smul_set_inter, inv_smul_smul]