∀ {R : Type u_10} [inst : CommRing R] (M : Submonoid R) {S : Type u_12} [inst_1 : CommRing S] [inst_2 : Algebra R S]
  (x : S),
  (Localization.tensorLeftAlgEquiv M S) (x ⊗ₜ[R] 1) = (algebraMap S (Localization (Algebra.algebraMapSubmonoid S M))) x