liftAux_map_smul — Mathlib

English

The liftAux map preserves addition: liftAux(R,f)(a + b) = liftAux(R,f)(a) + liftAux(R,f)(b).

Русский

Подъемная карта сохраняет сложение: liftAux(R,f)(a + b) = liftAux(R,f)(a) + liftAux(R,f)(b).

LaTeX

$$$\mathrm{liftAux}(R,f)(a+b) = \mathrm{liftAux}(R,f)(a) + \mathrm{liftAux}(R,f)(b).$$$

Lean4

theorem liftAux_map_smul (f : X → L) (t : R) (a : lib R X) : liftAux R f (t • a) = t • liftAux R f a :=
  NonUnitalAlgHom.map_smul _ t a

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