∀ (R : Type u_2) (S : Type u_1) [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S] (p : Ideal R)
  [inst_3 : p.IsPrime] (x : ↑(p.primesOver S)),
  ⟨(↑⟨{ asIdeal := ↑x, isPrime := ⋯ }, ⋯⟩).asIdeal, ⋯⟩ = ⟨(↑⟨{ asIdeal := ↑x, isPrime := ⋯ }, ⋯⟩).asIdeal, ⋯⟩