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Theorems · Theorem · number theory

IsPrimitiveRoot.integralPowerBasis.congr_simp

∀ {n n_1 : ℕ} (e_n : n = n_1) {K : Type u} [inst : Field K] {ζ ζ_1 : K} (e_ζ : ζ = ζ_1) [inst_1 : NeZero n]
  [inst_2 : CharZero K] [inst_3 : IsCyclotomicExtension {n} ℚ K] (hζ : IsPrimitiveRoot ζ n),
  hζ.integralPowerBasis = ⋯.integralPowerBasis
Defined in
Mathlib.NumberTheory.NumberField.Cyclotomic.Basic
Cited by
0 results in Mathlib
Foundations
Depth 325 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldNeZeroCharZeroIsCyclotomicExtension
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Set · cited by 53352SetField · cited by 7404FieldCharZero · cited by 932CharZeroNumberField.RingOfIntegers · cited by 413NumberField.RingOfIntegersIsPrimitiveRoot · cited by 356IsPrimitiveRootIsCyclotomicExtension · cited by 220IsCyclotomicExtensionPowerBasis · cited by 115PowerBasisIsPrimitiveRoot.integralPowerBasis · cited by 3IsPrimitiveRoot.integralP…integralPowerBasis.congr_simpCITED BYCITES

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