compContinuousLinearMapL_apply — Mathlib

English

The symmetric property of the right congruence on continuous multilinear maps holds under taking symmetries of the base linear space.

Русский

Симметрия по отношению к правому конгруентному отображению сохраняется при симметрии базового линейного пространства.

LaTeX

$$$ (\text{ContinuousLinearEquiv.continuousMultilinearMapCongrRight } E g).symm = g.symm.continuousMultilinearMapCongrRight E $$$

Lean4

@[simp]
theorem compContinuousLinearMapL_apply (g : ContinuousMultilinearMap 𝕜 E₁ G) (f : ∀ i, E i →L[𝕜] E₁ i) :
    compContinuousLinearMapL f g = g.compContinuousLinearMap f :=
  rfl

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