∀ {α : Type u_2} {β : Type u_3} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace β] {A : Type u_1}
  [inst_2 : TopologicalSpace A] {f₀ f₁ : C(A, α)} {g₀ g₁ : C(A, β)} (F : f₀.Homotopy f₁) (G : g₀.Homotopy g₁),
  Continuous fun t => (F t, G t)