∀ {F : Type u_1} {α : Type u_2} {β : Type u_3} [inst : Preorder α] [inst_1 : Preorder β] [inst_2 : EquivLike F α β]
  [OrderIsoClass F α β] (f : F) {a : α} {b : β}, (EquivLike.inv f b < a) = (b < f a)