∀ {X : Type u_3} {ι : Type u_1} [inst : TopologicalSpace X] {Y : ι → Type u_2}
  [inst_1 : (i : ι) → TopologicalSpace (Y i)] {f₀ f₁ : (i : ι) → C(X, Y i)} (F : (i : ι) → (f₀ i).Homotopy (f₁ i))
  (x : X), (ContinuousMap.pi fun i => ↑(F i)).toFun (0, x) = (ContinuousMap.pi f₀) x