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Theorems · Definition · number theory

DirichletCharacter.conductor

{R : Type u_1} → [inst : CommMonoidWithZero R] → {n : ℕ} → DirichletCharacter R n → ℕ

The minimum natural number level n through which χ factors.

Defined in
Mathlib.NumberTheory.DirichletCharacter.Basic
Cited by
29 results in Mathlib
Foundations
Depth 66 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.

DirichletCharacter.conductor_dvd_level · cited by 12DirichletCharacter.conduc…DirichletCharacter.primitiveCharacter · cited by 11DirichletCharacter.primit…DirichletCharacter.IsPrimitive · cited by 9DirichletCharacter.IsPrim…DirichletCharacter.changeLevel_primitiveCharacter · cited by 7DirichletCharacter.change…DirichletCharacter.conductor_eq_zero_iff_level_eq_zero · cited by 4DirichletCharacter.conduc…DirichletCharacter.factorsThrough_conductor · cited by 4DirichletCharacter.factor…DirichletCharacter.conductor_mem_conductorSet · cited by 3DirichletCharacter.conduc…DirichletCharacter.conductor_ne_zero · cited by 3DirichletCharacter.conduc…DirichletCharacter.conductor_one · cited by 3DirichletCharacter.conduc…DirichletCharacter.isPrimitive_def · cited by 3DirichletCharacter.isPrim…DirichletCharacter.mem_conductorSet_iff_conductor_dvd · cited by 3DirichletCharacter.mem_co…DirichletCharacter.conductor_dvd_of_mem_conductorSet · cited by 2DirichletCharacter.conduc…DirichletCharacter.conductor_zpow_dvd · cited by 2DirichletCharacter.conduc…DirichletCharacter.primitiveCharacter_isPrimitive · cited by 2DirichletCharacter.primit…DirichletCharacter.primitive_mul · cited by 2DirichletCharacter.primit…InfSet.sInf · cited by 935InfSet.sInfCommMonoidWithZero · cited by 913CommMonoidWithZeroDirichletCharacter · cited by 161DirichletCharacterDirichletCharacter.conductorSet · cited by 8DirichletCharacter.conduc…DirichletCharacter.conductorCITED BYCITES

Cites4

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

Cited by33

Results whose statement or proof uses this declaration.