∀ {ι : Type u_2} {X : ι → Type u_3} {Y : ι → Type u_4} [inst : (i : ι) → TopologicalSpace (X i)]
  [inst_1 : (i : ι) → TopologicalSpace (Y i)] {f₀ f₁ : (i : ι) → C(X i, Y i)},
  (∀ (i : ι), (f₀ i).Homotopic (f₁ i)) → (ContinuousMap.piMap f₀).Homotopic (ContinuousMap.piMap f₁)