∀ (F : Type u_2) (K : Type u_3) (L : Type u_1) [inst : Field F] [inst_1 : Field K] [inst_2 : Field L]
  [inst_3 : Algebra F K] [inst_4 : Algebra F L] [inst_5 : Algebra K L] [inst_6 : IsScalarTower F K L] (r : K)
  (x : ↥(IntermediateField.normalClosure F K L)),
  (normalClosure.algebra._aux_3 F K L) r * x = x * (normalClosure.algebra._aux_3 F K L) r