Theorems · Theorem · number theory
DirichletCharacter.changeLevel_trans
∀ {R : Type u_1} [inst : CommMonoidWithZero R] {n : ℕ} (χ : DirichletCharacter R n) {m d : ℕ} (hm : n ∣ m) (hd : m ∣ d),
(DirichletCharacter.changeLevel ⋯) χ = (DirichletCharacter.changeLevel hd) ((DirichletCharacter.changeLevel hm) χ)- Cited by
- 6 results in Mathlib
- Foundations
- Depth 64 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.
Cites14
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
- Equiv.symmproof · cited by 3,681
- MonoidHomstatement · cited by 3,629
- ZModstatement · cited by 1,024
- CommMonoidWithZerostatement and proof · cited by 913
- MonoidHom.compproof · cited by 469
- Equiv.apply_symm_applyproof · cited by 346
- DirichletCharacterstatement and proof · cited by 161
- dvd_transstatement and proof · cited by 50
- DirichletCharacter.changeLevelstatement · cited by 29
- ZMod.unitsMapproof · cited by 24
- MulChar.equivToUnitHomproof · cited by 20
Cited by6
Results whose statement or proof uses this declaration.
- DirichletCharacter.conductor_dvd_of_mem_conductorSetproof · cited by 2
- DirichletCharacter.conductor_changeLevelproof · cited by 1
- DirichletCharacter.conductor_le_conductor_mem_conductorSetproof · 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