∀ {α : Type u} {β : Type v} {γ : Type w} [inst : UniformSpace α] [inst_1 : UniformSpace β] [inst_2 : UniformSpace γ]
  {f : α → β} {g : β → γ}, IsUniformInducing g → (IsUniformInducing (g ∘ f) ↔ IsUniformInducing f)