Theorems · Theorem · number theory
DirichletCharacter.changeLevel_primitiveCharacter
∀ {R : Type u_1} [inst : CommMonoidWithZero R] {n : ℕ} (χ : DirichletCharacter R n),
(DirichletCharacter.changeLevel ⋯) χ.primitiveCharacter = χ- Cited by
- 7 results in Mathlib
- Foundations
- Depth 72 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.
Cites10
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 · cited by 29
- DirichletCharacter.conductorstatement · cited by 29
- DirichletCharacter.conductor_dvd_levelstatement · cited by 12
- DirichletCharacter.primitiveCharacterstatement · cited by 11
- DirichletCharacter.factorsThrough_conductorproof · cited by 4
Cited by7
Results whose statement or proof uses this declaration.
- DirichletCharacter.conductor_dvd_of_mem_conductorSetproof · cited by 2
- DirichletCharacter.conductor_zpow_dvdproof · cited by 2
- DirichletCharacter.conductor_changeLevelproof · cited by 1
- DirichletCharacter.primitiveCharacter_apply_of_isCoprimeproof · cited by 1
- DirichletCharacter.primitiveCharacter_changeLevel_applyproof · cited by 1
- DirichletCharacter.mem_subgroupOfPrimitiveMapToOne_iffproof · cited by 0
- DirichletCharacter.conductor_mul_dvd_lcm_conductorproof · cited by 0