∀ {R : Type u_4} {S : Type u_3} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S] (p : Ideal R)
  [inst_3 : p.IsPrime] (Rₚ : Type u_2) [inst_4 : CommRing Rₚ] [inst_5 : Algebra R Rₚ]
  [inst_6 : IsLocalization.AtPrime Rₚ p] [inst_7 : IsLocalRing Rₚ] (Sₚ : Type u_1) [inst_8 : CommRing Sₚ]
  [inst_9 : Algebra S Sₚ] [inst_10 : IsLocalization (Algebra.algebraMapSubmonoid S p.primeCompl) Sₚ]
  [inst_11 : Algebra Rₚ Sₚ] [inst_12 : Algebra R Sₚ] [inst_13 : IsScalarTower R S Sₚ] [inst_14 : IsScalarTower R Rₚ Sₚ]
  (Q : ↑((IsLocalRing.maximalIdeal Rₚ).primesOver Sₚ)),
  ⟨Ideal.map (algebraMap S Sₚ) ↑⟨Ideal.comap (algebraMap S Sₚ) ↑Q, ⋯⟩, ⋯⟩ = Q