Theorems · Theorem · number theory
MulChar.coe_equivToUnitHom
∀ {R : Type u_1} [inst : CommMonoid R] {R' : Type u_2} [inst_1 : CommMonoidWithZero R'] (χ : MulChar R R') (a : Rˣ),
↑((MulChar.equivToUnitHom χ) a) = χ ↑a- Defined in
- Mathlib.NumberTheory.MulChar.Basic
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 29 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.
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
- Equivstatement · cited by 8,337
- MonoidHomstatement · cited by 3,629
- Unitsstatement and proof · cited by 2,804
- CommMonoidstatement and proof · cited by 2,264
- Units.valstatement · cited by 1,966
- CommMonoidWithZerostatement and proof · cited by 913
- MulCharstatement and proof · cited by 186
- MulChar.equivToUnitHomstatement · cited by 20
- MulChar.coe_toUnitHomproof · cited by 5
Cited by12
Results whose statement or proof uses this declaration.
- DirichletCharacter.changeLevel_injectiveproof · cited by 5
- DirichletCharacter.changeLevel_eq_cast_of_dvdproof · cited by 3
- MulChar.domRestrict_applyproof · cited by 3
- MulChar.domRestrictHom_surjectiveproof · cited by 1
- factorsThrough_of_gaussSum_ne_zeroproof · cited by 1
- MulChar.mulCharEquiv_symm_apply_applyproof · cited by 1
- DirichletCharacter.toUnitHom_eq_char'proof · cited by 0
- MulChar.eq_iffproof · cited by 0
- MulChar.equivToUnitHom_mul_applyproof · cited by 0
- MulChar.mem_subgroupOrderIsoSubgroupMulChar_iffproof · cited by 0
- MulChar.mem_subgroupOrderIsoSubgroupMulChar_symm_iffproof · cited by 0