Theorems · Theorem · number theory

IsPrimitiveRoot.adjoinEquivRingOfIntegersOfPrimePow_apply

∀ {p k : ℕ} {K : Type u} [inst : Field K] {ζ : K} [hp : Fact (Nat.Prime p)] [inst_1 : CharZero K]
  [inst_2 : IsCyclotomicExtension {p ^ k} ℚ K] (hζ : IsPrimitiveRoot ζ (p ^ k)) (a : ↥ℤ[ζ]),
  hζ.adjoinEquivRingOfIntegersOfPrimePow a = (IsIntegralClosure.lift ℤ (NumberField.RingOfIntegers K) K) a

Defined in

Mathlib.NumberTheory.NumberField.Cyclotomic.Basic

Cited by

1 results in Mathlib

Foundations

Depth 224 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldFactCharZeroIsCyclotomicExtension