{A : Type u_3} →
  {B : Type u_4} →
    {C : Type u_5} →
      [inst : CommSemiring A] →
        [inst_1 : CommSemiring B] →
          [inst_2 : CommSemiring C] →
            {I : Ideal A} →
              {J : Ideal B} →
                {K : Ideal C} →
                  {hI : DividedPowers I} →
                    {hJ : DividedPowers J} →
                      {hK : DividedPowers K} → hJ.DPMorphism hK → hI.DPMorphism hJ → hI.DPMorphism hK