Theorems · Theorem · number theory
IsCyclotomicExtension.Rat.inertiaDegIn_eq_of_prime_pow
∀ (p k : ℕ) [hp : Fact (Nat.Prime p)] (K : Type u_1) [inst : Field K] [inst_1 : NumberField K]
[hK : IsCyclotomicExtension {p ^ (k + 1)} ℚ K], (Ideal.span {↑p}).inertiaDegIn (NumberField.RingOfIntegers K) = 1- Cited by
- 1 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.
Cites16
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
- AlgEquivproof · cited by 1,681
- Ideal.spanstatement and proof · cited by 948
- NumberFieldstatement and proof · cited by 653
- NumberField.RingOfIntegersstatement · cited by 413
- IsCyclotomicExtensionstatement and proof · cited by 220
- IsGaloisproof · cited by 149
- IsPrimitiveRoot.toIntegerproof · cited by 72
- IsCyclotomicExtension.zeta_specproof · cited by 29
Cited by1
Results whose statement or proof uses this declaration.
- IsCyclotomicExtension.Rat.inertiaDegIn_eq_of_primeproof · cited by 0