reverseOpEquiv_opComm — Mathlib

English

The op-commutator of reverseOpEquiv equals the inverse of the reverseOpEquiv: AlgEquiv.opComm (reverseOpEquiv) = reverseOpEquiv.symm.

Русский

Коммутатор по операции оп — reverseOpEquiv равен обратному reverseOpEquiv: AlgEquiv.opComm (reverseOpEquiv) = reverseOpEquiv.symm.

LaTeX

$$$ \mathrm{AlgEquiv.opComm} (\mathrm{reverseOpEquiv}) = \mathrm{reverseOpEquiv}^{-1}. $$$

Lean4

@[simp]
theorem reverseOpEquiv_opComm : AlgEquiv.opComm (reverseOpEquiv (Q := Q)) = reverseOpEquiv.symm :=
  rfl

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