∀ {α : Type u_1} {β : Type u_2} {ι : Type u_3} [inst : CommMonoid α] {f : ι → β → α} {g : β → α} {s : Set β}
  [inst_1 : UniformSpace α] {t : Set β}, HasProdUniformlyOn f g t → s ⊆ t → HasProdUniformlyOn f g s