Theorems · Inductive type · combinatorics
Fintype
Type u_4 → Type u_4
Fintype α means that α is finite, i.e. there are only
finitely many distinct elements of type α. The evidence of this
is a finset elems (a list up to permutation without duplicates),
together with a proof that everything of type α is in the list.
- Defined in
- Mathlib.Data.Fintype.Defs
- Cited by
- 7,736 results in Mathlib
- Foundations
- Depth 0 from the axioms, rests on 1 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by8,839
Results whose statement or proof uses this declaration.
- Finset.univstatement and proof · cited by 3,473
- Fintype.cardstatement and proof · cited by 1,386
- Matrix.detstatement and proof · cited by 665
- Matrix.GeneralLinearGroupstatement and proof · cited by 556
- Finset.mem_univstatement and proof · cited by 361
- Matrix.SpecialLinearGroupstatement and proof · cited by 348
- Matrix.mulVecstatement and proof · cited by 267
- nonempty_fintypestatement · cited by 261
- Fintype.ofFinitestatement · cited by 255
- Equiv.Perm.supportstatement and proof · cited by 230
- Set.toFinsetstatement and proof · cited by 217
- Nat.card_eq_fintype_cardstatement and proof · cited by 200
Showing the 200 most cited of 8,839.