Theorems · Theorem · number theory

rootsOfUnityEquivOfPrimitiveRoots_symm_apply

∀ {R : Type u_4} [inst : CommRing R] [inst_1 : IsDomain R] {S : Type u_7} {F : Type u_8} [inst_2 : CommRing S]
  [inst_3 : IsDomain S] [inst_4 : FunLike F R S] [inst_5 : MonoidHomClass F R S] {n : ℕ} [inst_6 : NeZero n] {f : F}
  (hf : Function.Injective ⇑f) (hζ : (primitiveRoots n R).Nonempty) (η : ↥(rootsOfUnity n S)),
  f ↑↑((rootsOfUnityEquivOfPrimitiveRoots hf hζ).symm η) = ↑↑η

Defined in

Mathlib.RingTheory.RootsOfUnity.PrimitiveRoots

Cited by

1 results in Mathlib

Foundations

Depth 144 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingIsDomainCommRingIsDomainFunLikeMonoidHomClassNeZero