∀ {X : outParam (Type u_3)} {Y : outParam (Type u_4)} {inst : TopologicalSpace X} {inst_1 : TopologicalSpace Y}
  {F : Type u_5} {f₀ f₁ : outParam C(X, Y)} {inst_2 : FunLike F (↑unitInterval × X) Y}
  [self : ContinuousMap.HomotopyLike F f₀ f₁] (f : F) (x : X), f (0, x) = f₀ x