∀ {S : Type u_6} {R : Type u_7} [inst : CommRing R] (p : Ideal R) [inst_1 : p.IsMaximal] {Sₚ : Type u_9}
  [inst_2 : CommRing S] [inst_3 : Algebra R S] [inst_4 : CommRing Sₚ] [inst_5 : Algebra S Sₚ] [inst_6 : Algebra R Sₚ]
  [IsLocalization (Algebra.algebraMapSubmonoid S p.primeCompl) Sₚ] [IsScalarTower R S Sₚ],
  Ideal.comap (algebraMap S Sₚ) (Ideal.map (algebraMap R Sₚ) p) = Ideal.map (algebraMap R S) p