∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Limits.HasImages C]
  [inst_2 : CategoryTheory.Limits.HasImageMaps C] (f : CategoryTheory.Arrow C),
  CategoryTheory.Limits.im.obj f = CategoryTheory.Limits.image f.hom