Theorems · Definition · order theory
Fin.orderIsoSubtype
{n : ℕ} → Fin n ≃o { i // i < n }The equivalence Fin n ≃ {i // i < n} is an order isomorphism.
- Defined in
- Mathlib.Order.Fin.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
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.
- OrderIsostatement · cited by 874
- Fin.equivSubtypeproof · cited by 8
- Equiv.toOrderIsoproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- Fin.map_valEmbedding_univproof · cited by 1
- Fin.orderIsoSubtype_symm_applystatement and proof · cited by 1
- Fin.orderIsoSubtype_applystatement and proof · cited by 0