Theorems · Theorem · number theory

IsCyclotomicExtension.zeta_spec

∀ (n : ℕ) [inst : NeZero n] (A : Type w) (B : Type z) [inst_1 : CommRing A] [inst_2 : CommRing B] [inst_3 : Algebra A B]
  [inst_4 : IsCyclotomicExtension {n} A B], IsPrimitiveRoot (IsCyclotomicExtension.zeta n A B) n

zeta n A B is a primitive n-th root of unity.

Defined in

Mathlib.NumberTheory.Cyclotomic.PrimitiveRoots

Cited by

29 results in Mathlib

Foundations

Depth 20 from the axioms · uses propext, Classical.choice

Assumes

NeZeroCommRingCommRingAlgebraIsCyclotomicExtension