Theorems · Theorem · ring theory

Algebra.TensorProduct.opAlgEquiv_tmul

∀ (R : Type u_1) (S : Type u_2) (A : Type u_3) (B : Type u_4) [inst : CommSemiring R] [inst_1 : CommSemiring S]
  [inst_2 : Semiring A] [inst_3 : Semiring B] [inst_4 : Algebra R S] [inst_5 : Algebra R A] [inst_6 : Algebra R B]
  [inst_7 : Algebra S A] [inst_8 : IsScalarTower R S A] (a : Aᵐᵒᵖ) (b : Bᵐᵒᵖ),
  (Algebra.TensorProduct.opAlgEquiv R S A B) (a ⊗ₜ[R] b) = MulOpposite.op (MulOpposite.unop a ⊗ₜ[R] MulOpposite.unop b)

Defined in

Mathlib.LinearAlgebra.TensorProduct.Opposite

Cited by

1 results in Mathlib

Foundations

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

Assumes

CommSemiringCommSemiringSemiringSemiringAlgebraAlgebraAlgebraAlgebraIsScalarTower