∀ {R : Type u_1} [inst : CommSemiring R] (S : Type u_2) [inst_1 : CommSemiring S] [inst_2 : Algebra R S]
  (P P_1 : Ideal R) (e_P : P = P_1) [hp : P.IsPrime], IsLocalization.AtPrime S P = IsLocalization.AtPrime S P_1