mvPolynomialOptionEquivPolynomialAdjoin_C'

English

Reiteration of the directed-union independence for another directed family.

Русский

Повторение независимости направленного объединения для другой направленной семейной структуры.

LaTeX

$$$\text{algebraicIndependent_iUnion_of_directed}$$$

Lean4

/-- `simp`-normal form of `mvPolynomialOptionEquivPolynomialAdjoin_C` -/
@[simp]
theorem mvPolynomialOptionEquivPolynomialAdjoin_C' (hx : AlgebraicIndependent R x) (r) :
    Polynomial.C (hx.aevalEquiv (C r)) = Polynomial.C (algebraMap _ _ r) :=
  by
  congr
  apply_fun Subtype.val using Subtype.val_injective
  simp

Похожие утверждения