∀ {R : Type u_1} [inst : CommRing R] (M : Submonoid R) (S : Type u_2) [inst_1 : CommRing S] [inst_2 : Algebra R S]
  [inst_3 : IsLocalization M S] (m : ↥M), m • ↑((IsLocalization.toInvSubmonoid M S) m) = 1