∀ {X : Type u_1} {ι : Type u_3} [inst : TopologicalSpace X] {Y : ι → Type u_2}
  [inst_1 : (i : ι) → TopologicalSpace (Y i)] {f₀ f₁ : (i : ι) → C(X, Y i)} (i : ι),
  ContinuousMapClass ((f₀ i).Homotopy (f₁ i)) (↑unitInterval × X) (Y i)