∀ (σ : Type u_1) [inst : DecidableEq σ] [inst_1 : Fintype σ] (k : ℕ),
  Disjoint ({t ∈ MvPolynomial.NewtonIdentities.pairs✝ σ k | t.1.card < k})
    ({t ∈ MvPolynomial.NewtonIdentities.pairs✝ σ k | t.1.card = k})