∀ {C : Type u_1} [inst : CategoryTheory.Category.{u_2, u_1} C] {F : CategoryTheory.Functor C FintypeCat}
  (V : OpenSubgroup (CategoryTheory.Aut F)) {U : OpenSubgroup (CategoryTheory.Aut F)},
  (↑U).Normal → ((↑U).subgroupOf ↑V).Normal