∀ (R : Type u_3) [inst : CommSemiring R] (A : Type u_4) (M : Type u_1) (N : Type u_2) [inst_1 : AddCommMonoid M]
  [inst_2 : AddCommMonoid N] [inst_3 : Module R M] [inst_4 : Module R N] [inst_5 : CommSemiring A] [inst_6 : Module A M]
  [inst_7 : Module A N] [inst_8 : SMulCommClass R A M] [inst_9 : TensorProduct.CompatibleSMul R A M N]
  [inst_10 : TensorProduct.CompatibleSMul A R M N] (x x_1 : TensorProduct R M N),
  (TensorProduct.mapOfCompatibleSMul R A M N).toFun ((TensorProduct.mapOfCompatibleSMul A R M N) x) = x →
    (TensorProduct.mapOfCompatibleSMul R A M N).toFun ((TensorProduct.mapOfCompatibleSMul A R M N) x_1) = x_1 →
      (TensorProduct.mapOfCompatibleSMul R A M N).toFun ((TensorProduct.mapOfCompatibleSMul A R M N) (x + x_1)) =
        x + x_1