Theorems · Theorem · number theory
IsPrimitiveRoot.integralPowerBasis_dim
∀ {n : ℕ} {K : Type u} [inst : Field K] {ζ : K} [inst_1 : NeZero n] [inst_2 : CharZero K]
[inst_3 : IsCyclotomicExtension {n} ℚ K] (hζ : IsPrimitiveRoot ζ n), hζ.integralPowerBasis.dim = n.totient- Cited by
- 0 results in Mathlib
- Foundations
- Depth 325 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- Polynomial.natDegreeproof · cited by 1,105
- CharZerostatement and proof · cited by 932
- NumberField.RingOfIntegersstatement · cited by 413
- IsPrimitiveRootstatement and proof · cited by 356
- IsCyclotomicExtensionstatement and proof · cited by 220
- Nat.totientstatement and proof · cited by 111
- PowerBasis.dimstatement · cited by 74
- NeZero.posproof · cited by 57
- Polynomial.natDegree_cyclotomicproof · cited by 12
- Algebra.adjoin.powerBasis'proof · cited by 11
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