Theorems · Theorem · number theory

IsPrimitiveRoot.subOnePowerBasis.congr_simp

∀ {n n_1 : ℕ} (e_n : n = n_1) [inst : NeZero n] (K : Type u) {L : Type v} [inst_1 : Field K] [inst_2 : CommRing L]
  [inst_3 : IsDomain L] [inst_4 : Algebra K L] [inst_5 : IsCyclotomicExtension {n} K L] {ζ ζ_1 : L} (e_ζ : ζ = ζ_1)
  (hζ : IsPrimitiveRoot ζ n), IsPrimitiveRoot.subOnePowerBasis K hζ = IsPrimitiveRoot.subOnePowerBasis K ⋯

Defined in: Mathlib.NumberTheory.Cyclotomic.Discriminant
Cited by: 0 results in Mathlib
Foundations: Depth 215 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: NeZero Field CommRing IsDomain Algebra IsCyclotomicExtension

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Setstatement · cited by 53,352
CommRingstatement and proof · cited by 17,173
Algebrastatement and proof · cited by 11,388
Fieldstatement and proof · cited by 7,404
IsDomainstatement and proof · cited by 2,196
IsPrimitiveRootstatement and proof · cited by 356
IsCyclotomicExtensionstatement and proof · cited by 220
PowerBasisstatement · cited by 115
IsPrimitiveRoot.subOnePowerBasisstatement and proof · cited by 9

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