∀ {α : Type u_1} {E : Type u_3} (F : Type u_4) [inst : Norm E] [inst_1 : Norm F] {f : α → E} [inst_2 : One F]
  [NormOneClass F] [inst_4 : TopologicalSpace α] {a : α}, (f =O[nhdsWithin a {a}ᶜ] fun x => 1) ↔ f =O[nhds a] fun x => 1