Theorems · Definition · combinatorics
fintypeOfNotInfinite
{α : Type u_4} → ¬Infinite α → Fintype αA non-infinite type is a fintype.
- Defined in
- Mathlib.Data.Fintype.EquivFin
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, 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.
- Fintypestatement · cited by 7,736
- Infinitestatement and proof · cited by 352
- Fintype.ofFiniteproof · cited by 255
Cited by5
Results whose statement or proof uses this declaration.
- fintypeOrInfiniteproof · cited by 14
- Configuration.HasLines.pointCount_le_lineCountproof · cited by 4
- fintypeOfFinsetCardLeproof · cited by 2
- SimpleGraph.completeMultipartiteGraph.colorable_of_cliqueFreeproof · cited by 1
- SimpleGraph.completeMultipartiteGraph.not_cliqueFree_of_le_enatCardproof · cited by 0