∀ {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) (y : ↥M) (h : x ∈ M),
  IsLocalization.mk' S x y * IsLocalization.mk' S ↑y ⟨x, h⟩ = 1