Theorems · Theorem · number theory
IsPrimitiveRoot.integralPowerBasisOfPrimePow_gen
∀ {p k : ℕ} {K : Type u} [inst : Field K] {ζ : K} [hp : Fact (Nat.Prime p)] [inst_1 : CharZero K]
[hcycl : IsCyclotomicExtension {p ^ k} ℚ K] (hζ : IsPrimitiveRoot ζ (p ^ k)),
hζ.integralPowerBasisOfPrimePow.gen = hζ.toInteger- Cited by
- 3 results in Mathlib
- Foundations
- Depth 226 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites24
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement · cited by 53,352
- Fieldstatement and proof · cited by 7,404
- Algebra.algebraMapproof · cited by 4,706
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- CharZerostatement and proof · cited by 932
- Algebra.adjoinproof · cited by 535
- NumberField.RingOfIntegersstatement and proof · cited by 413
- IsPrimitiveRootstatement and proof · cited by 356
- SetLike.mem_coeproof · cited by 302
- IsCyclotomicExtensionstatement and proof · cited by 220
Cited by3
Results whose statement or proof uses this declaration.
- IsCyclotomicExtension.Rat.adjoin_singleton_eq_topproof · cited by 3
- IsCyclotomicExtension.Rat.discr_prime_powproof · cited by 2
- IsPrimitiveRoot.not_exists_int_prime_dvd_sub_of_prime_pow_ne_twoproof · cited by 1