liftAux_map_mul — Mathlib

English

LiftAux_spec asserts that liftAux is invariant along the Rel R X relation: if a is related to b, then liftAux(R,f)(a) = liftAux(R,f)(b).

Русский

LiftAux_spec утверждает, что liftAux сохраняет отношение Rel R X: если a связано с b, то liftAux(R,f)(a) = liftAux(R,f)(b).

LaTeX

$$$\forall a,b\, (h : \mathrm{Rel}(R,X)\; a\; b) \Rightarrow \mathrm{liftAux}(R,f)(a) = \mathrm{liftAux}(R,f)(b).$$$

Lean4

theorem liftAux_map_mul (f : X → L) (a b : lib R X) : liftAux R f (a * b) = ⁅liftAux R f a, liftAux R f b⁆ :=
  NonUnitalAlgHom.map_mul _ a b

Похожие утверждения