Theorems · Definition · group theory
AddChar.doubleDualEquiv
{α : Type u_1} → [inst : AddCommGroup α] → [Finite α] → α ≃+ AddChar (AddChar α ℂ) ℂThe double dual isomorphism of a finite abelian group.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 244 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommGroupstatement and proof · cited by 12,871
- Complexstatement · cited by 5,565
- Finitestatement and proof · cited by 3,029
- AddEquivstatement · cited by 1,087
- AddCharstatement · cited by 286
- AddChar.doubleDualEmbproof · cited by 11
- AddEquiv.ofBijectiveproof · cited by 5
- AddChar.doubleDualEmb_bijectiveproof · cited by 0
Cited by3
Results whose statement or proof uses this declaration.
- AddChar.doubleDualEquiv_symm_doubleDualEmb_applystatement and proof · cited by 0
- AddChar.doubleDualEmb_doubleDualEquiv_symm_applystatement and proof · cited by 0
- AddChar.coe_doubleDualEquivstatement · cited by 0