∀ {R : Type u_1} [inst : CommSemiring R] (M : Submonoid R) {S : Type u_2} [inst_1 : CommSemiring S]
  [inst_2 : Algebra R S] [inst_3 : IsLocalization M S] [inst_4 : DecidableEq R] (s : Finset S),
  ⇑(algebraMap R S) '' ↑(IsLocalization.finsetIntegerMultiple M s) = IsLocalization.commonDenomOfFinset M s • ↑s