Theorems · Theorem · number theory
IsPrimitiveRoot.integralPowerBasisOfPrimePow.congr_simp
∀ {p p_1 : ℕ} (e_p : p = p_1) {k k_1 : ℕ} (e_k : k = k_1) {K : Type u} [inst : Field K] {ζ ζ_1 : K} (e_ζ : ζ = ζ_1)
[hp : Fact (Nat.Prime p)] [inst_1 : CharZero K] [inst_2 : IsCyclotomicExtension {p ^ k} ℚ K]
(hζ : IsPrimitiveRoot ζ (p ^ k)), hζ.integralPowerBasisOfPrimePow = ⋯.integralPowerBasisOfPrimePow- Cited by
- 0 results in Mathlib
- Foundations
- Depth 225 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Fieldstatement and proof · cited by 7,404
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- CharZerostatement and proof · cited by 932
- NumberField.RingOfIntegersstatement · cited by 413
- IsPrimitiveRootstatement and proof · cited by 356
- IsCyclotomicExtensionstatement and proof · cited by 220
- PowerBasisstatement · cited by 115
- IsPrimitiveRoot.integralPowerBasisOfPrimePowstatement and proof · cited by 6
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.