∀ (R : Type u_1) [inst : CommRing R] [inst_1 : Nontrivial R] [inst_2 : IsNoetherianRing R]
  [inst_3 : Ring.KrullDimLE 1 R] {K : Type u_3} [inst_4 : Field K] [inst_5 : Algebra R K] [inst_6 : IsFractionRing R K]
  (a b : ↥(nonZeroDivisors R)),
  (Ring.ordFrac R) (IsLocalization.mk' K (↑a) b) = (Ring.ordMonoidWithZeroHom R) ↑a / (Ring.ordMonoidWithZeroHom R) ↑b