{X : Type u} →
  {Y : Type v} →
    [inst : TopologicalSpace X] →
      [inst_1 : TopologicalSpace Y] →
        {f₀ f₁ : C(X, Y)} →
          (toFun : ↑unitInterval × X → Y) →
            autoParam (Continuous toFun) ContinuousMap.continuous_toFun._autoParam →
              (∀ (x : X), toFun (0, x) = f₀ x) → (∀ (x : X), toFun (1, x) = f₁ x) → f₀.Homotopy f₁