Theorems · Theorem · number theory
DirichletCharacter.mem_conductorSet_iff
∀ {R : Type u_1} [inst : CommMonoidWithZero R] {n : ℕ} (χ : DirichletCharacter R n) {x : ℕ},
x ∈ χ.conductorSet ↔ χ.FactorsThrough x- Cited by
- 5 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.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- CommMonoidWithZerostatement and proof · cited by 913
- DirichletCharacterstatement and proof · cited by 161
- DirichletCharacter.FactorsThroughstatement · cited by 13
- DirichletCharacter.conductorSetstatement and proof · cited by 8
Cited by5
Results whose statement or proof uses this declaration.
- DirichletCharacter.conductor_oneproof · cited by 3
- DirichletCharacter.conductor_zpow_dvdproof · cited by 2
- DirichletCharacter.conductor_le_conductor_mem_conductorSetproof · cited by 1
- DirichletCharacter.conductor_mul_dvd_lcm_conductorproof · cited by 0