Theorems · Theorem · number theory
modularCyclotomicCharacter.toFun_spec
∀ {L : Type u} [inst : CommRing L] [inst_1 : IsDomain L] (g : L ≃+* L) {n : ℕ} [inst_2 : NeZero n]
(t : ↥(rootsOfUnity n L)), g ↑↑t = ↑(↑t ^ (modularCyclotomicCharacter.toFun n g).val)The formula which characterises the output of modularCyclotomicCharacter g n.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 144 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Subgroupstatement · cited by 3,593
- Unitsstatement and proof · cited by 2,804
- IsDomainstatement and proof · cited by 2,196
- Units.valstatement and proof · cited by 1,966
- RingEquivstatement and proof · cited by 1,147
- ZModproof · cited by 1,024
- Nat.cardstatement and proof · cited by 844
- zpow_natCastproof · cited by 271
- ZMod.valstatement and proof · cited by 159
- rootsOfUnitystatement and proof · cited by 118
Cited by3
Results whose statement or proof uses this declaration.
- modularCyclotomicCharacter.toFun_spec'proof · cited by 3
- modularCyclotomicCharacter.toFun_uniqueproof · cited by 3
- modularCyclotomicCharacter.compproof · cited by 0