Theorems · Theorem · number theory
DirichletCharacter.changeLevel_eq_one_iff
∀ {R : Type u_1} [inst : CommMonoidWithZero R] {n m : ℕ} [NeZero m] {χ : DirichletCharacter R n} (hm : n ∣ m),
(DirichletCharacter.changeLevel hm) χ = 1 ↔ χ = 1- Cited by
- 1 results in Mathlib
- Foundations
- Depth 89 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- MonoidHomstatement · cited by 3,629
- ZModstatement · cited by 1,024
- CommMonoidWithZerostatement and proof · cited by 913
- DirichletCharacterstatement and proof · cited by 161
- DirichletCharacter.changeLevelstatement and proof · cited by 29
- map_eq_one_iffproof · cited by 15
- DirichletCharacter.changeLevel_injectiveproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- DirichletCharacter.LFunction_changeLevelproof · cited by 1