Mathlib Map

Theorems · Definition · combinatorics

Set.Finite

{α : Type u} → Set α → Prop

A set is finite if the corresponding Subtype is finite, i.e., if there exists a natural n : ℕ and an equivalence s ≃ Fin n.

Defined in
Mathlib.Data.Finite.Defs
Cited by
1,814 results in Mathlib
Foundations
Depth 5 from the axioms, rests on 10 definitions · uses no axioms

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.

  • Setstatement and proof · cited by 53,352
  • Set.Elemproof · cited by 7,166
  • Finiteproof · cited by 3,029

Cited by1,897

Results whose statement or proof uses this declaration.

Showing the 200 most cited of 1,897.