areaForm'_apply — Mathlib

English

The area form' (continuous linear form) corresponds to areaForm under the canonical identification between areaForm and a continuous linear map.

Русский

AreaForm' (постоянно-линейная форма) соответствует areaForm через каноническое соотношение между ними.

LaTeX

$$areaForm' x = LinearMap.toContinuousLinearMap (areaForm x)$$

Lean4

@[simp]
theorem areaForm'_apply (x : E) : o.areaForm' x = LinearMap.toContinuousLinearMap (o.areaForm x) :=
  rfl

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