no goals
𝕜 : Type ?u.499171
G : Type u_1
H : Type ?u.499177
inst✝⁴ : MeasurableSpace G
inst✝³ : MeasurableSpace H
inst✝² : InvolutiveInv G
inst✝¹ : MeasurableInv G
μ : Measure G
inst✝ : IsInvInvariant μ
A : Set G
⊢ ↑↑μ A⁻¹ = ↑↑μ A
rw [← inv_apply, inv_eq_self]