Theorems · Theorem · field theory

rootOfSplitsXPowSubC_pow

∀ {K : Type u} [inst : Field K] {n : ℕ} (a : K) (L : Type u_1) [inst_1 : Field L] [inst_2 : Algebra K L]
  [inst_3 : Polynomial.IsSplittingField K L (Polynomial.X ^ n - Polynomial.C a)] [inst_4 : NeZero n],
  rootOfSplitsXPowSubC ⋯ a L ^ n = (algebraMap K L) a

Defined in

Mathlib.FieldTheory.KummerExtension

Cited by

2 results in Mathlib

Foundations

Depth 116 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldFieldAlgebraPolynomial.IsSplittingFieldNeZero