Theorems · Definition · number theory
DirichletCharacter.changeLevel
{R : Type u_1} → [inst : CommMonoidWithZero R] → {n m : ℕ} → n ∣ m → DirichletCharacter R n →* DirichletCharacter R mA function that modifies the level of a Dirichlet character to some multiple of its original level.
- Cited by
- 29 results in Mathlib
- Foundations
- Depth 63 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MonoidHomstatement · cited by 3,629
- ZModstatement · cited by 1,024
- CommMonoidWithZerostatement and proof · cited by 913
- MonoidHom.compproof · cited by 469
- DirichletCharacterstatement and proof · cited by 161
- ZMod.unitsMapproof · cited by 24
- MulChar.toUnitHomproof · cited by 14
- MulChar.ofUnitHomproof · cited by 10
Cited by32
Results whose statement or proof uses this declaration.
- DirichletCharacter.FactorsThroughproof · cited by 13
- DirichletCharacter.changeLevel_primitiveCharacterstatement · cited by 7
- DirichletCharacter.changeLevel_transstatement · cited by 6
- DirichletCharacter.changeLevel_injectivestatement and proof · cited by 5
- DirichletCharacter.factorsThrough_iff_ker_unitsMapproof · cited by 4
- DirichletCharacter.changeLevel_eq_cast_of_dvdstatement · cited by 3
- DirichletCharacter.changeLevel_eq_cast_of_dvd'statement and proof · cited by 3
- DirichletCharacter.changeLevel_onestatement and proof · cited by 3
- DirichletCharacter.mulproof · cited by 3
- DirichletCharacter.changeLevel_selfstatement · cited by 2
- DirichletCharacter.conductor_dvd_of_mem_conductorSetproof · cited by 2
- DirichletCharacter.conductor_zpow_dvdproof · cited by 2