Theorems · Theorem · number theory

IsPrimitiveRoot.adjoinEquivRingOfIntegers_apply

∀ {n : ℕ} {K : Type u} [inst : Field K] {ζ : K} [inst_1 : NeZero n] [inst_2 : CharZero K]
  [inst_3 : IsCyclotomicExtension {n} ℚ K] (hζ : IsPrimitiveRoot ζ n) (a : ↥ℤ[ζ]),
  hζ.adjoinEquivRingOfIntegers a = (IsIntegralClosure.lift ℤ (NumberField.RingOfIntegers K) K) a

Defined in

Mathlib.NumberTheory.NumberField.Cyclotomic.Basic

Cited by

1 results in Mathlib

Foundations

Depth 324 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldNeZeroCharZeroIsCyclotomicExtension