Theorems · Theorem · number theory

IsPrimitiveRoot.powerBasis_dim

∀ {n : ℕ} [inst : NeZero n] (K : Type u) {L : Type v} [inst_1 : Field K] [inst_2 : CommRing L] [inst_3 : IsDomain L]
  [inst_4 : Algebra K L] [inst_5 : IsCyclotomicExtension {n} K L] {ζ : L} (hζ : IsPrimitiveRoot ζ n),
  (IsPrimitiveRoot.powerBasis K hζ).dim = (minpoly K ζ).natDegree

Defined in

Mathlib.NumberTheory.Cyclotomic.PrimitiveRoots

Cited by

3 results in Mathlib

Foundations

Depth 211 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NeZeroFieldCommRingIsDomainAlgebraIsCyclotomicExtension