liftAux — Mathlib

English

The auxiliary lift sends a product to a Lie bracket: liftAux(R,f)(a b) = [liftAux(R,f)(a), liftAux(R,f)(b)].

Русский

Вспомогательное отображение поднимает произведение в скобку Ли: liftAux(R,f)(a b) = [liftAux(R,f)(a), liftAux(R,f)(b)].

LaTeX

$$$\mathrm{liftAux}(R,f)(a b) = \bigl[\mathrm{liftAux}(R,f)(a), \mathrm{liftAux}(R,f)(b)\bigr].$$$

Lean4

/-- An auxiliary definition used to construct the equivalence `lift` below. -/
def liftAux (f : X → CommutatorRing L) :=
  lib.lift R f

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