Theorems · Theorem · ring theory

AddMonoidAlgebra.coeff_tensorEquiv_apply

∀ (R : Type u_1) {M : Type u_2} {N : Type u_3} [inst : CommSemiring R]
  (x : TensorProduct R (AddMonoidAlgebra R M) (AddMonoidAlgebra R N)),
  ((AddMonoidAlgebra.tensorEquiv R) x).coeff =
    (finsuppTensorFinsupp' R M N)
      ((TensorProduct.congr (AddMonoidAlgebra.coeffLinearEquiv R) (AddMonoidAlgebra.coeffLinearEquiv R)) x)

Defined in

Mathlib.RingTheory.TensorProduct.MonoidAlgebra

Cited by

1 results in Mathlib

Foundations

Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiring