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