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Theorems · Theorem · number theory

modularCyclotomicCharacter.id

∀ {L : Type u} [inst : CommRing L] [inst_1 : IsDomain L] (n : ℕ) [inst_2 : NeZero n],
  modularCyclotomicCharacter.toFun n (RingEquiv.refl L) = 1
Defined in
Mathlib.NumberTheory.Cyclotomic.CyclotomicCharacter
Cited by
0 results in Mathlib
Foundations
Depth 146 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingIsDomainNeZero

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites20

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

  • CommRingstatement and proof · cited by 17,173
  • Subgroupstatement · cited by 3,593
  • Unitsstatement and proof · cited by 2,804
  • Factproof · cited by 2,726
  • IsDomainstatement and proof · cited by 2,196
  • Units.valproof · cited by 1,966
  • ZModstatement · cited by 1,024
  • pow_oneproof · cited by 894
  • Nat.cardstatement and proof · cited by 844
  • one_powproof · cited by 521
  • Eq.geproof · cited by 375
  • ZMod.valproof · cited by 159

Cited by1

Results whose statement or proof uses this declaration.