∀ {C : Type u_2} [inst : CategoryTheory.Category.{u_1, u_2} C] {D : Type u_4}
  [inst_1 : CategoryTheory.Category.{u_3, u_4} D] (F : CategoryTheory.Functor C D) [inst_2 : F.IsEquivalence]
  {X Y Z : D} (f : X ⟶ Y) (g : Y ⟶ Z),
  F.preimage
      (CategoryTheory.CategoryStruct.comp (F.objObjPreimageIso X).hom
        (CategoryTheory.CategoryStruct.comp (CategoryTheory.CategoryStruct.comp f g) (F.objObjPreimageIso Z).inv)) =
    CategoryTheory.CategoryStruct.comp
      (F.preimage
        (CategoryTheory.CategoryStruct.comp (F.objObjPreimageIso X).hom
          (CategoryTheory.CategoryStruct.comp f (F.objObjPreimageIso Y).inv)))
      (F.preimage
        (CategoryTheory.CategoryStruct.comp (F.objObjPreimageIso Y).hom
          (CategoryTheory.CategoryStruct.comp g (F.objObjPreimageIso Z).inv)))