Theorems · Theorem · field theory

autEquivZmod.congr_simp

∀ {K : Type u} [inst : Field K] {n : ℕ} {a a_1 : K} (e_a : a = a_1)
  (H : Irreducible (Polynomial.X ^ n - Polynomial.C a)) (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] {ζ ζ_1 : K}
  (e_ζ : ζ = ζ_1) (hζ : IsPrimitiveRoot ζ n), autEquivZmod H L hζ = autEquivZmod ⋯ L ⋯

Defined in

Mathlib.FieldTheory.KummerExtension

Cited by

0 results in Mathlib

Foundations

Depth 149 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldFieldAlgebraPolynomial.IsSplittingFieldNeZero