aevalTower_toAlgHom — Mathlib

English

The composition with IsScalarTower.toAlgHom is again g; i.e., the evaluation tower, composed with the canonical scalar tower map, recovers g.

Русский

Композиция с IsScalarTower.toAlgHom восстанавливает g.

LaTeX

$$$$ (\operatorname{aevalTower}(g,y) : MvPolynomial(\sigma,R) \rightarrow_{+/*?*/} A).comp (IsScalarTower.toAlgHom S R (MvPolynomial(\sigma,R))) = g. $$$$

Lean4

theorem aevalTower_toAlgHom (x : R) : aevalTower g y (IsScalarTower.toAlgHom S R (MvPolynomial σ R) x) = g x :=
  aevalTower_algebraMap _ _ _

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