no goals
F : Type ?u.122781
α : Type u_1
β : Type ?u.122787
γ : Type ?u.122790
inst✝ : Group α
s t : Set α
a b : α
⊢ (fun x => x * b) '' t = (fun x => x * b⁻¹) ⁻¹' t
rw [image_eq_preimage_of_inverse] <;> intro c <;> simp