∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {X Y : C} [CategoryTheory.Limits.HasEqualizers C] {X' : C}
  (h : X' ⟶ X) [inst_2 : CategoryTheory.IsIso h] (f : X ⟶ Y) [inst_3 : CategoryTheory.Limits.HasImage f],
  CategoryTheory.Limits.imageSubobject (CategoryTheory.CategoryStruct.comp h f) = CategoryTheory.Limits.imageSubobject f