Theorems · Theorem · number theory
IsCyclotomicExtension.Rat.isIntegralClosure_adjoin_singleton_of_prime
∀ {p : ℕ} {K : Type u} [inst : Field K] {ζ : K} [hp : Fact (Nat.Prime p)] [inst_1 : CharZero K]
[hcycl : IsCyclotomicExtension {p} ℚ K], IsPrimitiveRoot ζ p → IsIntegralClosure ↥ℤ[ζ] ℤ K- Cited by
- 0 results in Mathlib
- Foundations
- Depth 223 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
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
- Subalgebrastatement · cited by 1,353
- CharZerostatement and proof · cited by 932
- pow_oneproof · cited by 894
- Algebra.adjoinstatement · cited by 535
- IsPrimitiveRootstatement and proof · cited by 356
- IsCyclotomicExtensionstatement and proof · cited by 220
- IsIntegralClosurestatement · cited by 146
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