∀ {C : Type u_2} [inst : CategoryTheory.Category.{u_1, u_2} C] [inst_1 : CategoryTheory.NonPreadditiveAbelian C]
  {X Y : C} {f : X ⟶ Y},
  CategoryTheory.CategoryStruct.comp (CategoryTheory.Abelian.factorThruImage f) (CategoryTheory.Abelian.image.ι f) = f