Theorems · Definition · number theory
DirichletCharacter.FactorsThrough
{R : Type u_1} → [inst : CommMonoidWithZero R] → {n : ℕ} → DirichletCharacter R n → ℕ → Propχ of level n factors through a Dirichlet character χ₀ of level d if d ∣ n and
χ₀ = χ ∘ (ZMod n → ZMod d).
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommMonoidWithZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommMonoidWithZerostatement and proof · cited by 913
- DirichletCharacterstatement and proof · cited by 161
- DirichletCharacter.changeLevelproof · cited by 29
Cited by15
Results whose statement or proof uses this declaration.
- DirichletCharacter.conductorSetproof · cited by 8
- DirichletCharacter.FactorsThrough.dvdstatement and proof · cited by 7
- DirichletCharacter.mem_conductorSet_iffstatement · cited by 5
- DirichletCharacter.factorsThrough_conductorstatement · cited by 4
- DirichletCharacter.factorsThrough_iff_ker_unitsMapstatement and proof · cited by 4
- DirichletCharacter.conductor_oneproof · cited by 3
- DirichletCharacter.factorsThrough_gcdstatement · cited by 1
- DirichletCharacter.factorsThrough_one_iffstatement and proof · cited by 1
- DirichletCharacter.FactorsThrough.eq_changeLevelstatement and proof · cited by 1
- DirichletCharacter.FactorsThrough.monostatement and proof · cited by 1
- DirichletCharacter.FactorsThrough.same_levelstatement · cited by 1
- DirichletCharacter.FactorsThrough.χ₀statement and proof · cited by 1