∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {X Y X' : C} (h : X' ⟶ X) (f : X ⟶ Y)
  [inst_1 : CategoryTheory.Limits.HasImage f]
  [inst_2 : CategoryTheory.Limits.HasImage (CategoryTheory.CategoryStruct.comp h f)],
  CategoryTheory.Limits.imageSubobject (CategoryTheory.CategoryStruct.comp h f) ≤ CategoryTheory.Limits.imageSubobject f