Theorems · Definition · ring theory

Algebra.TensorProduct.leftComm

(R : Type uR) →
  (A : Type uA) →
    (B : Type uB) →
      (C : Type uC) →
        [inst : CommSemiring R] →
          [inst_1 : Semiring A] →
            [inst_2 : Algebra R A] →
              [inst_3 : Semiring B] →
                [inst_4 : Algebra R B] →
                  [inst_5 : Semiring C] →
                    [inst_6 : Algebra R C] →
                      TensorProduct R A (TensorProduct R B C) ≃ₐ[R] TensorProduct R B (TensorProduct R A C)

Tensor product of algebras analogue of mul_left_comm. This is the algebra version of TensorProduct.leftComm.

Defined in

Mathlib.RingTheory.TensorProduct.Maps

Cited by

3 results in Mathlib

Foundations

Depth 83 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringSemiringAlgebraSemiringAlgebraSemiringAlgebra