Theorems · Theorem · number theory
IsCyclotomicExtension.Rat.ramificationIdxIn_eq_of_prime
∀ (p : ℕ) [hp : Fact (Nat.Prime p)] (K : Type u_1) [inst : Field K] [inst_1 : NumberField K]
[hK : IsCyclotomicExtension {p} ℚ K], (Ideal.span {↑p}).ramificationIdxIn (NumberField.RingOfIntegers K) = p - 1- Cited by
- 0 results in Mathlib
- Foundations
- Depth 226 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- one_mulproof · cited by 2,841
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- pow_zeroproof · cited by 1,094
- Ideal.spanstatement · cited by 948
- NumberFieldstatement and proof · cited by 653
- NumberField.RingOfIntegersstatement · cited by 413
- IsCyclotomicExtensionstatement and proof · cited by 220
- Ideal.ramificationIdxInstatement · cited by 18
- IsCyclotomicExtension.Rat.ramificationIdxIn_eq_of_prime_powproof · cited by 1
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