∀ {ι : Type u_4} {R : ι → Type u_5} [inst : (i : ι) → CommSemiring (R i)] {i : ι} (I : Ideal (R i)) [inst_1 : I.IsPrime]
  {r : (i : ι) → R i},
  (algebraMap (R i) (Localization.AtPrime I)) (r i) =
    (Localization.AtPrime.mapPiEvalRingHom I)
      ((algebraMap ((i : ι) → R i) (Localization.AtPrime (Ideal.comap (Pi.evalRingHom R i) I))) r)