no goals
F : Type ?u.121388
α : Type u_1
β : Type ?u.121394
γ : Type ?u.121397
inst✝ : Group α
s t : Set α
a b : α
⊢ (fun x x_1 => x * x_1) a '' t = (fun x x_1 => x * x_1) a⁻¹ ⁻¹' t
rw [image_eq_preimage_of_inverse] <;> intro c <;> simp