Theorems · Definition · number theory
MulChar.toUnitHom
{R : Type u_1} → [inst : CommMonoid R] → {R' : Type u_2} → [inst_1 : CommMonoidWithZero R'] → MulChar R R' → Rˣ →* R'ˣTurn a MulChar into a homomorphism between the unit groups.
- Defined in
- Mathlib.NumberTheory.MulChar.Basic
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Quot.sound
- Assumes
- CommMonoidCommMonoidWithZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MonoidHomstatement · cited by 3,629
- Unitsstatement · cited by 2,804
- CommMonoidstatement and proof · cited by 2,264
- CommMonoidWithZerostatement and proof · cited by 913
- MonoidHomClass.toMonoidHomproof · cited by 294
- MulCharstatement and proof · cited by 186
- Units.mapproof · cited by 95
Cited by18
Results whose statement or proof uses this declaration.
- DirichletCharacter.changeLevelproof · cited by 29
- MulChar.equivToUnitHomproof · cited by 20
- MulChar.domRestrictproof · cited by 8
- MulChar.coe_toUnitHomstatement · cited by 5
- DirichletCharacter.factorsThrough_iff_ker_unitsMapstatement and proof · cited by 4
- DirichletCharacter.changeLevel_selfproof · cited by 2
- MulChar.domRestrictHom_surjectiveproof · cited by 1
- MulChar.equiv_rootsOfUnityproof · cited by 1
- MulChar.exists_apply_ne_one_iff_exists_monoidHomproof · cited by 1
- DirichletCharacter.changeLevel_toUnitHomstatement · cited by 1
- DirichletCharacter.toUnitHom_eq_char'statement · cited by 0
- DirichletCharacter.toUnitHom_injstatement · cited by 0