piLpCongrRight_refl — Mathlib

English

The inverse of the right congruence is the right congruence with the inverses of the component isometries.

Русский

Обратное правого конгруента — конгруентность с инвертированными компонентами.

LaTeX

$$$(\text{LinearIsometryEquiv.piLpCongrRight }(p,e)).symm = LinearIsometryEquiv.piLpCongrRight(p, i\mapsto (e i)^{-1})$$$

Lean4

@[simp]
theorem _root_.LinearIsometryEquiv.piLpCongrRight_refl :
    LinearIsometryEquiv.piLpCongrRight p (fun i => .refl 𝕜 (α i)) = .refl _ _ :=
  rfl

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