Theorems · Theorem · number theory
MulChar.coe_toUnitHom
∀ {R : Type u_1} [inst : CommMonoid R] {R' : Type u_2} [inst_1 : CommMonoidWithZero R'] (χ : MulChar R R') (a : Rˣ),
↑(χ.toUnitHom a) = χ ↑a- Defined in
- Mathlib.NumberTheory.MulChar.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
- Assumes
- CommMonoidCommMonoidWithZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- 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.toUnitHomstatement · cited by 14
Cited by5
Results whose statement or proof uses this declaration.
- MulChar.coe_equivToUnitHomproof · cited by 12
- DirichletCharacter.factorsThrough_gcdproof · cited by 1
- MulChar.exists_apply_ne_one_iff_exists_monoidHomproof · cited by 1
- DirichletCharacter.Even.toUnitHom_eval_neg_oneproof · cited by 0
- DirichletCharacter.Odd.toUnitHom_eval_neg_oneproof · cited by 0