Theorems · Theorem · number theory
DirichletCharacter.conductor_eq_zero_iff_level_eq_zero
∀ {R : Type u_1} [inst : CommMonoidWithZero R] {n : ℕ} {χ : DirichletCharacter R n}, χ.conductor = 0 ↔ n = 0- Cited by
- 4 results in Mathlib
- Foundations
- Depth 71 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommMonoidWithZerostatement and proof · cited by 913
- DirichletCharacterstatement and proof · cited by 161
- DirichletCharacter.conductorstatement · cited by 29
- Nat.sInf_eq_zeroproof · cited by 6
- DirichletCharacter.conductor_ne_zeroproof · cited by 3
- DirichletCharacter.level_mem_conductorSetproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- DirichletCharacter.conductor_zpow_dvdproof · cited by 2
- DirichletCharacter.primitiveCharacter_isPrimitiveproof · cited by 2
- DirichletCharacter.conductor_mul_dvd_lcm_conductorproof · cited by 0
- DirichletCharacter.isPrimitive_one_level_zeroproof · cited by 0