Theorems · Theorem · number theory
DirichletCharacter.Odd.to_fun
∀ {S : Type u_2} [inst : CommRing S] {m : ℕ} {χ : DirichletCharacter S m}, χ.Odd → Function.Odd ⇑χAn odd Dirichlet character is an odd function.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- CommRingstatement and proof · cited by 17,173
- map_mulproof · cited by 1,137
- ZModstatement and proof · cited by 1,024
- DirichletCharacterstatement and proof · cited by 161
- neg_one_mulproof · cited by 61
- Function.Oddstatement · cited by 38
- DirichletCharacter.Oddstatement and proof · cited by 11
Cited by3
Results whose statement or proof uses this declaration.
- DirichletCharacter.IsPrimitive.completedLFunction_one_subproof · cited by 0
- DirichletCharacter.LFunction_eq_completed_div_gammaFactorproof · cited by 0
- DirichletCharacter.Odd.LFunction_neg_two_mul_nat_sub_oneproof · cited by 0