∀ (K : Type u_1) [inst : CommRing K] (p : ℕ) [inst_1 : Fact (Nat.Prime p)] [inst_2 : CharP K p] (x y : ℕ × K),
  PerfectClosure.R K p x y → PerfectClosure.mk K p (x.1, -x.2) = PerfectClosure.mk K p (y.1, -y.2)