∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E]
  [inst_2 : NormedSpace 𝕜 E] {V W : E → E} {m n : WithTop ℕ∞},
  ContDiff 𝕜 n V → ContDiff 𝕜 n W → m + 1 ≤ n → ContDiff 𝕜 m (VectorField.lieBracket 𝕜 V W)