∀ {C : Type u_4} [inst : CategoryTheory.Category.{u_3, u_4} C] {J : Type u_2}
  [inst_1 : CategoryTheory.Category.{u_1, u_2} J] {X : J} (hX : CategoryTheory.Limits.IsTerminal X)
  (F : CategoryTheory.Functor J C) [inst_2 : ∀ (i j : J) (f : i ⟶ j), CategoryTheory.IsIso (F.map f)] ⦃X_1 Y : J⦄
  (f : X_1 ⟶ Y),
  CategoryTheory.CategoryStruct.comp (((CategoryTheory.Functor.const J).obj (F.obj X)).map f)
      (CategoryTheory.inv (F.map (hX.from Y))) =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.inv (F.map (hX.from X_1))) (F.map f)