Theorems · Theorem · field theory

adjoinRootXPowSubCEquiv.congr_simp

∀ {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)] {α α_1 : L} (e_α : α = α_1)
  (hζ : (primitiveRoots n K).Nonempty) (H : Irreducible (Polynomial.X ^ n - Polynomial.C a))
  (hα : α ^ n = (algebraMap K L) a), adjoinRootXPowSubCEquiv hζ H hα = adjoinRootXPowSubCEquiv hζ H ⋯

Defined in

Mathlib.FieldTheory.KummerExtension

Cited by

0 results in Mathlib

Foundations

Depth 145 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldFieldAlgebraPolynomial.IsSplittingField