{X : Type u} →
  {ι : Type u_2} →
    [inst : TopologicalSpace X] →
      {Y : ι → Type u_3} →
        [inst_1 : (i : ι) → TopologicalSpace (Y i)] →
          {f₀ f₁ : (i : ι) → C(X, Y i)} →
            ((i : ι) → (f₀ i).Homotopy (f₁ i)) → (ContinuousMap.pi f₀).Homotopy (ContinuousMap.pi f₁)