Theorems · Theorem · number theory
DirichletCharacter.conductor_le_conductor_mem_conductorSet
∀ {R : Type u_1} [inst : CommMonoidWithZero R] {n : ℕ} {χ : DirichletCharacter R n} {d : ℕ} (hd : d ∈ χ.conductorSet),
χ.conductor ≤ (Classical.choose ⋯).conductor- Cited by
- 1 results in Mathlib
- Foundations
- Depth 69 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.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement · cited by 53,352
- MonoidHomstatement · cited by 3,629
- ZModstatement · cited by 1,024
- CommMonoidWithZerostatement and proof · cited by 913
- DirichletCharacterstatement and proof · cited by 161
- dvd_transproof · cited by 50
- DirichletCharacter.changeLevelstatement and proof · cited by 29
- DirichletCharacter.conductorstatement · cited by 29
- Nat.sInf_leproof · cited by 20
- DirichletCharacter.conductor_dvd_levelproof · cited by 12
- DirichletCharacter.conductorSetstatement and proof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- DirichletCharacter.primitiveCharacter_isPrimitiveproof · cited by 2