∀ {R : Type u} {S : Type v} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S] (T : Type u_1)
  [inst_3 : CommRing T] [inst_4 : Algebra R T] [Algebra.IsStandardSmooth R S],
  Algebra.IsStandardSmooth T (TensorProduct R T S)