Theorems · Theorem · number theory
DirichletCharacter.eq_one_iff_conductor_eq_one
∀ {R : Type u_1} [inst : CommMonoidWithZero R] {n : ℕ} {χ : DirichletCharacter R n} [NeZero n], χ = 1 ↔ χ.conductor = 1- Cited by
- 1 results in Mathlib
- Foundations
- Depth 71 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.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- ZModstatement · cited by 1,024
- CommMonoidWithZerostatement and proof · cited by 913
- DirichletCharacterstatement and proof · cited by 161
- DirichletCharacter.changeLevelproof · cited by 29
- DirichletCharacter.conductorstatement and proof · cited by 29
- DirichletCharacter.factorsThrough_conductorproof · cited by 4
- DirichletCharacter.changeLevel_oneproof · cited by 3
- DirichletCharacter.conductor_oneproof · cited by 3
- DirichletCharacter.level_one'proof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- DirichletCharacter.primitiveCharacter_oneproof · cited by 0