Theorems · Definition · linear algebra

TensorProduct.leftComm

(R : Type u_1) →
  [inst : CommSemiring R] →
    (M : Type u_5) →
      (N : Type u_6) →
        (P : Type u_7) →
          [inst_1 : AddCommMonoid M] →
            [inst_2 : AddCommMonoid N] →
              [inst_3 : AddCommMonoid P] →
                [inst_4 : Module R M] →
                  [inst_5 : Module R N] →
                    [inst_6 : Module R P] →
                      TensorProduct R M (TensorProduct R N P) ≃ₗ[R] TensorProduct R N (TensorProduct R M P)

A tensor product analogue of mul_left_comm.

Defined in

Mathlib.LinearAlgebra.TensorProduct.Associator

Cited by

7 results in Mathlib

Foundations

Depth 70 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringAddCommMonoidAddCommMonoidAddCommMonoidModuleModuleModule