∀ {𝕜 : Type u_2} [inst : NontriviallyNormedField 𝕜] {H : Type u_3} [inst_1 : TopologicalSpace H] {E : Type u_1}
  [inst_2 : NormedAddCommGroup E] [inst_3 : NormedSpace 𝕜 E] {I : ModelWithCorners 𝕜 E H} {G : Type u_4}
  [inst_4 : TopologicalSpace G] [inst_5 : ChartedSpace H G] [inst_6 : Group G]
  [inst_7 : LieGroup I (minSmoothness 𝕜 3) G] [inst_8 : CompleteSpace E] (c : 𝕜) (v w : GroupLieAlgebra I G),
  ⁅v, c • w⁆ = c • ⁅v, w⁆