Theorems · Theorem · number theory
MulChar.ofRootOfUnity_spec
∀ {M : Type u_1} [inst : CommMonoid M] [inst_1 : Fintype M] [inst_2 : DecidableEq M] {R : Type u_2}
[inst_3 : CommMonoidWithZero R] {ζ : Rˣ} (hζ : ζ ∈ rootsOfUnity (Fintype.card Mˣ) R) {g : Mˣ}
(hg : ∀ (x : Mˣ), x ∈ Subgroup.zpowers g), (MulChar.ofRootOfUnity hζ hg) ↑g = ↑ζ- Defined in
- Mathlib.NumberTheory.MulChar.Lemmas
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Fintypestatement and proof · cited by 7,736
- Subgroupstatement · cited by 3,593
- Unitsstatement and proof · cited by 2,804
- CommMonoidstatement and proof · cited by 2,264
- Units.valstatement and proof · cited by 1,966
- Fintype.cardstatement and proof · cited by 1,386
- CommMonoidWithZerostatement and proof · cited by 913
- Subgroup.zpowersstatement and proof · cited by 204
- MulCharstatement · cited by 186
- rootsOfUnitystatement and proof · cited by 118
- MulChar.equivToUnitHom_symm_coeproof · cited by 6
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