∀ {R : Type u_1} [inst : CommRing R] {n : ℕ} (m k : ℕ) (hn : n = m + k) (p : Polynomial.MonicDegreeEq R n),
  (Polynomial.UniversalFactorizationRing.fromTensor m k hn p).comp (MvPolynomial.universalFactorizationMap R n m k hn) =
    (MvPolynomial.mapEquivMonic R (Polynomial.UniversalFactorizationRing m k hn p) n).symm
      (Polynomial.UniversalFactorizationRing.monicDegreeEq m k hn p)