Theorems · Definition · group theory
AddChar.circleEquivComplex
{α : Type u_1} → [inst : AddCommGroup α] → [Finite α] → AddChar α Circle ≃+ AddChar α ℂThe circle-valued characters of a finite abelian group are the same as its complex-valued characters.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 150 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommGroupFinite
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- AddCommGroupstatement and proof · cited by 12,871
- Complexstatement and proof · cited by 5,565
- Equiv.symmproof · cited by 3,681
- Finitestatement and proof · cited by 3,029
- AddEquivstatement · cited by 1,087
- MonoidHom.compproof · cited by 469
- AddCharstatement and proof · cited by 286
- Circlestatement and proof · cited by 227
- AddChar.toMonoidHomEquivproof · cited by 8
- AddChar.toMonoidHomproof · cited by 7
- Circle.coeHomproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- AddChar.card_eqproof · cited by 2
- AddChar.zmodAddEquivproof · cited by 1
- AddChar.zmodAddEquiv_applystatement · cited by 0