∀ (R' : Type u_1) (S : Type u_5) (T : Type u_2) (A : Type u_4) (C : Type u_3) [inst : CommSemiring S]
  [inst_1 : Semiring A] [inst_2 : Algebra S A] [inst_3 : Semiring C] [inst_4 : Algebra S C] [inst_5 : CommSemiring T]
  [inst_6 : Algebra T A] [inst_7 : SMulCommClass S T A] [inst_8 : CommSemiring R'] [inst_9 : Algebra R' T]
  [inst_10 : Algebra R' A] [inst_11 : SMulCommClass S R' A] [IsScalarTower R' T A],
  SMulCommClass R' T (TensorProduct S A C)