Theorems · Theorem · number theory
IsCyclotomicExtension.fromZetaAut_spec
∀ {n : ℕ} [inst : NeZero n] {K : Type u_1} [inst_1 : Field K] {L : Type u_2} {μ : L} [inst_2 : CommRing L]
[inst_3 : IsDomain L] (hμ : IsPrimitiveRoot μ n) [inst_4 : Algebra K L] [inst_5 : IsCyclotomicExtension {n} K L]
(h : Irreducible (Polynomial.cyclotomic n K)),
(IsCyclotomicExtension.fromZetaAut hμ h) (IsCyclotomicExtension.zeta n K L) = μ- Defined in
- Mathlib.NumberTheory.Cyclotomic.Gal
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 216 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites25
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement · cited by 53,352
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement · cited by 5,681
- IsDomainstatement and proof · cited by 2,196
- Units.valproof · cited by 1,966
- AlgEquivstatement · cited by 1,681
- Irreduciblestatement and proof · cited by 496
- minpolyproof · cited by 439
- IsPrimitiveRootstatement and proof · cited by 356
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.