∀ {R : Type u} [inst : CommRing R] (n : ℕ) (I : Ideal (MvPolynomial (Fin n) R)) (n_1 : ℕ)
  (I_1 : Ideal (MvPolynomial (Fin n_1) R)), ({ n := n, I := I } = { n := n_1, I := I_1 }) = (n = n_1 ∧ I ≍ I_1)