continuousAlternatingMapCongrRight_symm

English

Restricting scalars has symmetric norm-preserving properties with respect to dual maps.

Русский

Ограничение скаляров сохраняет норму симметрично по отношению к дуальным отображениям.

LaTeX

$$$\|f.restrictScalars 𝕜'\| = \|f\|$, and similarly for the adjoint relation.$$

Lean4

@[simp]
theorem _root_.ContinuousLinearEquiv.continuousAlternatingMapCongrRight_symm (g : F ≃L[𝕜] G) :
    (g.continuousAlternatingMapCongrRight (ι := ι) (E := E)).symm = g.symm.continuousAlternatingMapCongrRight :=
  rfl

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