∀ {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] {x : R} (hx : x ∈ M), IsLocalization.mk' S x ⟨x, hx⟩ = 1