∀ {R : Type u_1} [inst : CommRing R] {n : ℕ} (m k : ℕ) (hn : n = m + k) (p : Polynomial.MonicDegreeEq R n),
  (Polynomial.UniversalFactorizationRing.presentation m k hn p).jacobian =
    (-1) ^ n *
      (↑(Polynomial.UniversalFactorizationRing.factor₁ m k hn p)).resultant
        ↑(Polynomial.UniversalFactorizationRing.factor₂ m k hn p)