∀ {C : Type u_1} [inst : CategoryTheory.Category.{u_4, u_1} C] [inst_1 : CategoryTheory.MonoidalCategory C]
  [inst_2 : CategoryTheory.BraidedCategory C] {D : Type u_3} [inst_3 : CategoryTheory.Category.{u_2, u_3} D]
  [inst_4 : CategoryTheory.MonoidalCategory D] [inst_5 : CategoryTheory.BraidedCategory D]
  {F G : CategoryTheory.LaxBraidedFunctor C D} (e : F.toFunctor ≅ G.toFunctor)
  [inst_6 : CategoryTheory.NatTrans.IsMonoidal e.hom],
  CategoryTheory.CategoryStruct.comp (CategoryTheory.LaxBraidedFunctor.homMk e.hom)
      (CategoryTheory.LaxBraidedFunctor.homMk e.inv) =
    CategoryTheory.CategoryStruct.id F