∀ {α : Type u_1} {β : Type u_2} [inst : UniformSpace α] [inst_1 : AddGroup α] [inst_2 : UniformSpace β]
  [inst_3 : AddGroup β] [inst_4 : IsUniformAddGroup β] (f : α →+ β),
  Continuous ⇑f → Continuous (⇑UniformSpace.Completion.toCompl ∘ ⇑f)