Theorems · Definition · combinatorics
Fin.equivSubtype
{n : ℕ} → Fin n ≃ { i // i < n }Equivalence between Fin n and { i // i < n }.
- Defined in
- Mathlib.Data.Fin.Basic
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivstatement · cited by 8,337
Cited by9
Results whose statement or proof uses this declaration.
- Fin.sum_univ_eq_sum_rangeproof · cited by 10
- Fin.prod_univ_eq_prod_rangeproof · cited by 5
- Fin.orderIsoSubtypeproof · cited by 3
- Fin.equivSubtype_applystatement and proof · cited by 2
- Primrec.fin_val_iffproof · cited by 2
- Ordinal.typein_lt_natproof · cited by 1
- MvPolynomial.rank_Rproof · cited by 1
- Fin.equivSubtype_symm_applystatement and proof · cited by 0
- Fin.equivSubtype_symm_trans_valEmbeddingstatement · cited by 0