Theorems · Theorem · number theory
DirichletCharacter.conductor_dvd_of_mem_conductorSet
∀ {R : Type u_1} [inst : CommMonoidWithZero R] {n : ℕ} (χ : DirichletCharacter R n) {d : ℕ} [NeZero n],
d ∈ χ.conductorSet → χ.conductor ∣ d- Cited by
- 2 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommMonoidWithZeroNeZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement · cited by 53,352
- CommMonoidWithZerostatement and proof · cited by 913
- Iff.notproof · cited by 489
- DirichletCharacterstatement and proof · cited by 161
- dvd_transproof · cited by 50
- DirichletCharacter.changeLevelproof · cited by 29
- DirichletCharacter.conductorstatement and proof · cited by 29
- Nat.sInf_leproof · cited by 20
- DirichletCharacter.conductor_dvd_levelproof · cited by 12
- DirichletCharacter.primitiveCharacterproof · cited by 11
- DirichletCharacter.conductorSetstatement and proof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- DirichletCharacter.mem_conductorSet_iff_conductor_dvdproof · cited by 3
- DirichletCharacter.conductor_changeLevelproof · cited by 1