Theorems · Definition · combinatorics
Finset.dens
{α : Type u_2} → [Fintype α] → Finset α → ℚ≥0Density of a finset.
dens s is the number of elements of s divided by the size of the ambient type α.
- Defined in
- Mathlib.Data.Finset.Density
- Cited by
- 55 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fintype
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- Fintypestatement and proof · cited by 7,736
- Finset.cardproof · cited by 2,327
- Fintype.cardproof · cited by 1,386
- NNRatstatement · cited by 523
Cited by55
Results whose statement or proof uses this declaration.
- Finset.dens_emptystatement · cited by 3
- Finset.dens_le_densstatement · cited by 3
- Finset.dens_union_of_disjointstatement and proof · cited by 3
- Finset.card_mul_densstatement and proof · cited by 2
- Finset.dens_ne_zerostatement · cited by 2
- Finset.dens_sdiff_add_densstatement and proof · cited by 2
- Finset.dens_union_add_dens_interstatement · cited by 2
- Finset.dens_disjUnionstatement · cited by 1
- Finset.dens_eq_onestatement · cited by 1
- Finset.dens_eq_sum_dens_fiberwisestatement · cited by 1
- Finset.dens_eq_zerostatement · cited by 1
- Finset.dens_le_dens_sdiff_add_densstatement · cited by 1