{X : Type u_3} →
  {Y : Type u_4} →
    [inst : TopologicalSpace X] →
      [inst_1 : TopologicalSpace Y] →
        {F : Type u_5} →
          {f₀ f₁ : C(X, Y)} →
            [inst_2 : FunLike F (↑unitInterval × X) Y] →
              {motive : ContinuousMap.HomotopyLike F f₀ f₁ → Sort u} →
                ([toContinuousMapClass : ContinuousMapClass F (↑unitInterval × X) Y] →
                    (map_zero_left : ∀ (f : F) (x : X), f (0, x) = f₀ x) →
                      (map_one_left : ∀ (f : F) (x : X), f (1, x) = f₁ x) → motive ⋯) →
                  (t : ContinuousMap.HomotopyLike F f₀ f₁) → motive t