coe_flipMultilinearEquiv — Mathlib

English

The norm of the operator compContinuousLinearMapL is bounded by the product of the norms of the component maps.

Русский

Норма оператора compContinuousLinearMapL ограничена произведением норм компонентных отображений.

LaTeX

$$$ \|compContinuousLinearMapL f\| ≤ \prod_i \|f_i\| $$$

Lean4

@[simp]
theorem coe_flipMultilinearEquiv :
    (flipMultilinearEquiv 𝕜 E G G' :
        (G →L[𝕜] ContinuousMultilinearMap 𝕜 E G') → (ContinuousMultilinearMap 𝕜 E (G →L[𝕜] G'))) =
      flipMultilinear :=
  rfl

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