∀ {C : Type u_2} [inst : CategoryTheory.Category.{u_1, u_2} C] (X : C)
  [inst_1 : CategoryTheory.Limits.HasBinaryCoproducts C] ⦃X_1 Y : C⦄ (f : X_1 ⟶ Y),
  CategoryTheory.CategoryStruct.comp ((CategoryTheory.Functor.id C).map f) CategoryTheory.Limits.coprod.inr =
    CategoryTheory.CategoryStruct.comp CategoryTheory.Limits.coprod.inr
      ((CategoryTheory.Limits.coprod.functor.obj X).map f)