∀ {R : Type u_2} {S : Type u_3} {Rₘ : Type u_4} {Sₘ : Type u_5} [inst : CommRing R] [inst_1 : CommRing S]
  [inst_2 : CommRing Rₘ] [inst_3 : CommRing Sₘ] (M : Submonoid R) [inst_4 : Algebra R S] [inst_5 : Algebra R Sₘ]
  [inst_6 : Algebra S Sₘ] [inst_7 : Algebra R Rₘ] [inst_8 : Algebra Rₘ Sₘ] [IsScalarTower R Rₘ Sₘ]
  [IsScalarTower R S Sₘ] [IsLocalization M Rₘ] [IsLocalization (Submonoid.map (algebraMap R S) M) Sₘ]
  [Algebra.FormallyEtale R S], Algebra.FormallyEtale Rₘ Sₘ