∀ (R : Type u_4) (S : Type u_1) [inst : CommSemiring R] [inst_1 : CommSemiring S] [inst_2 : Algebra R S] (T : Type u_5)
  (A : Type u_2) (B : Type u_3) [inst_3 : CommSemiring T] [inst_4 : CommSemiring A] [inst_5 : CommSemiring B]
  [inst_6 : Algebra R T] [inst_7 : Algebra R A] [inst_8 : Algebra R B] [inst_9 : Algebra T A]
  [inst_10 : IsScalarTower R T A] [inst_11 : Algebra S A] [inst_12 : IsScalarTower R S A] [inst_13 : Algebra S T]
  [inst_14 : IsScalarTower S T A], (TensorProduct.AlgebraTensorModule.cancelBaseChange R S T A B).symm 1 = 1