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