Theorems · Theorem · number theory

IsPrimitiveRoot.embeddingsEquivPrimitiveRoots_apply_coe

∀ {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) (C : Type u_1)
  [inst_6 : CommRing C] [inst_7 : IsDomain C] [inst_8 : Algebra K C] (hirr : Irreducible (Polynomial.cyclotomic n K))
  (φ' : L →ₐ[K] C), ↑((hζ.embeddingsEquivPrimitiveRoots C hirr) φ') = φ' ζ

Defined in

Mathlib.NumberTheory.Cyclotomic.PrimitiveRoots

Cited by

0 results in Mathlib

Foundations

Depth 214 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NeZeroFieldCommRingIsDomainAlgebraIsCyclotomicExtensionCommRingIsDomainAlgebra