∀ (n : ℕ),
  Disjoint (Finset.map (Nat.castEmbedding.prodMap Nat.castEmbedding) n.divisorsAntidiagonal)
    (Finset.map
      ((Nat.castEmbedding.trans (Equiv.toEmbedding (Equiv.neg ℤ))).prodMap
        (Nat.castEmbedding.trans (Equiv.toEmbedding (Equiv.neg ℤ))))
      n.divisorsAntidiagonal)