∀ {ι : Type u_1} {α : Type u_2} {β : Type u_3} [inst : PartialOrder α] [inst_1 : CommGroup β] [inst_2 : PartialOrder β]
  [IsOrderedMonoid β] {s : Set ι} {f : ι → α} {g : ι → β}, AntivaryOn f g s → MonovaryOn f g⁻¹ s