∀ {R : Type u_2} [inst : CommSemiring R] {M : Submonoid R} {S : Type u_1} [inst_1 : CommSemiring S]
  [inst_2 : Algebra R S] [inst_3 : IsLocalization M S] (s : ↥M), IsLocalization.mk' S 1 s * (algebraMap R S) ↑s = 1