Theorems · Definition · number theory
MulChar.ofUnitHom
{R : Type u_1} → [inst : CommMonoid R] → {R' : Type u_2} → [inst_1 : CommMonoidWithZero R'] → (Rˣ →* R'ˣ) → MulChar R R'Turn a homomorphism between unit groups into a MulChar.
- Defined in
- Mathlib.NumberTheory.MulChar.Basic
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommMonoidCommMonoidWithZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- MonoidHomstatement and proof · cited by 3,629
- Unitsstatement and proof · cited by 2,804
- CommMonoidstatement and proof · cited by 2,264
- Units.valproof · cited by 1,966
- IsUnitproof · cited by 1,602
- CommMonoidWithZerostatement and proof · cited by 913
- IsUnit.unitproof · cited by 252
- MulCharstatement · cited by 186
Cited by14
Results whose statement or proof uses this declaration.
- DirichletCharacter.changeLevelproof · cited by 29
- MulChar.equivToUnitHomproof · cited by 20
- MulChar.domRestrictproof · cited by 8
- DirichletCharacter.changeLevel_transproof · cited by 6
- DirichletCharacter.factorsThrough_iff_ker_unitsMapproof · cited by 4
- DirichletCharacter.changeLevel_selfproof · cited by 2
- MulChar.domRestrict_ofUnitHomstatement · cited by 2
- MulChar.ofRootOfUnityproof · cited by 2
- MulChar.ofUnitHom_coestatement · cited by 1
- MulChar.domRestrictHom_surjectiveproof · cited by 1
- MulChar.exists_apply_ne_one_iff_exists_monoidHomproof · cited by 1
- DirichletCharacter.changeLevel_defstatement · cited by 0