∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_3} [inst_1 : NormedAddCommGroup E]
  [inst_2 : NormedSpace 𝕜 E] {V W : (x : E) → TangentSpace (modelWithCornersSelf 𝕜 E) x} {s : Set E},
  VectorField.mlieBracketWithin (modelWithCornersSelf 𝕜 E) V W s = VectorField.lieBracketWithin 𝕜 V W s