tensorComm_apply — Mathlib

English

Applying tensorComm to x yields the swapped tensor product coordinates: tensorComm Q1 Q2 x = TensorProduct.comm R M1 M2 x.

Русский

Применение tensorComm к x даёт перестановку координат тензорного произведения: tensorComm Q1 Q2 x = TensorProduct.comm R M1 M2 x.

LaTeX

$$$\\text{tensorComm_apply} (Q_1) (Q_2) (x) = x$ swapped via commutativity$$

Lean4

@[simp]
theorem tensorComm_apply (Q₁ : QuadraticForm R M₁) (Q₂ : QuadraticForm R M₂) (x : M₁ ⊗[R] M₂) :
    tensorComm Q₁ Q₂ x = TensorProduct.comm R M₁ M₂ x :=
  rfl

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