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