∀ (x x_1 : Int.Linear.Poly),
  (∀ (a b : ℤ), x = Int.Linear.Poly.num a → x_1 = Int.Linear.Poly.num b → False) →
    (∀ (a : ℤ) (a_1 : Int.Linear.Var) (a_2 : Int.Linear.Poly) (b : ℤ) (b_1 : Int.Linear.Var) (b_2 : Int.Linear.Poly),
        x = Int.Linear.Poly.add a a_1 a_2 → x_1 = Int.Linear.Poly.add b b_1 b_2 → False) →
      (x == x_1) = false