Theorems · Theorem · number theory
DirichletCharacter.FactorsThrough.existsUnique
∀ {R : Type u_1} [inst : CommMonoidWithZero R] {n : ℕ} {χ : DirichletCharacter R n} {d : ℕ} [NeZero n]
(h : χ.FactorsThrough d), ∃! χ', χ = (DirichletCharacter.changeLevel ⋯) χ'The character of level d through which χ factors is uniquely determined.
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- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommMonoidWithZeroNeZero
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- MonoidHomstatement · cited by 3,629
- ZModstatement · cited by 1,024
- CommMonoidWithZerostatement and proof · cited by 913
- ExistsUniquestatement · cited by 268
- DirichletCharacterstatement and proof · cited by 161
- DirichletCharacter.changeLevelstatement and proof · cited by 29
- DirichletCharacter.FactorsThroughstatement and proof · cited by 13
- DirichletCharacter.FactorsThrough.dvdstatement and proof · cited by 7
- DirichletCharacter.changeLevel_injectiveproof · cited by 5
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