Theorems · Definition · combinatorics
FinEnum.equiv
{α : Sort u_1} → [self : FinEnum α] → α ≃ Fin (FinEnum.card α)FinEnum.Equiv states that type α is in bijection with Fin card,
the size of the FinEnum
- Defined in
- Mathlib.Data.FinEnum
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
- Assumes
- FinEnum
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivstatement · cited by 8,337
- FinEnum.cardstatement · cited by 32
- FinEnumstatement and proof · cited by 21
Cited by12
Results whose statement or proof uses this declaration.
- FinEnum.toListproof · cited by 4
- FinEnum.card_eq_fintypeCardproof · cited by 4
- FinEnum.insertNoneproof · cited by 3
- FinEnum.card_finproof · cited by 1
- FinEnum.mem_toListproof · cited by 1
- FinEnum.equiv_downstatement · cited by 0
- FinEnum.equiv_upstatement · cited by 0
- FinEnum.up_equiv_symmstatement · cited by 0
- FinEnum.nodup_toListproof · cited by 0
- FinEnum.card_uliftproof · cited by 0
- FinEnum.ofEquivproof · cited by 0
- FinEnum.down_equiv_symmstatement · cited by 0