∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E]
  [inst_2 : NormedSpace 𝕜 E] {V W : E → E},
  VectorField.lieBracket 𝕜 V W = fun x => (fderiv 𝕜 W x) (V x) - (fderiv 𝕜 V x) (W x)