∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace β] {n : ℕ} {i : Fin (n + 1)}
  {f : β → α} {g : β → List.Vector α n},
  Continuous f → Continuous g → Continuous fun b => List.Vector.insertIdx (f b) i (g b)