algebraicIndependent_empty_type — Mathlib

English

Behavior of X under mvPolynomialOptionEquivPolynomialAdjoin_C' and X_some/X_none cases.

Русский

Поведение X при mvPolynomialOptionEquivPolynomialAdjoin_C' и случаях X_none/X_some.

LaTeX

$$$\text{mvPolynomialOptionEquivPolynomialAdjoin}\; (X\;\text{none}) = X$ и аналогично для some.$$

Lean4

theorem algebraicIndependent_empty_type [IsEmpty ι] [Nontrivial A] : AlgebraicIndependent K x :=
  by
  rw [algebraicIndependent_empty_type_iff]
  exact RingHom.injective _

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