∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace β] {E : Type u_3}
  [inst_2 : Norm E] {F : Type u_4} [inst_3 : Norm F] (e : α ≃ₜ β) {b : β} {f : β → E} {g : β → F},
  f =o[nhds b] g ↔ (f ∘ ⇑e) =o[nhds (e.symm b)] (g ∘ ⇑e)