Theorems · Theorem · combinatorics
Finset.dens_ne_zero
∀ {α : Type u_2} [inst : Fintype α] {s : Finset α}, s.dens ≠ 0 ↔ s.Nonempty- Defined in
- Mathlib.Data.Finset.Density
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 92 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.
Cites8
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.Nonemptystatement · cited by 1,001
- NNRatstatement · cited by 523
- Iff.notproof · cited by 489
- Finset.densstatement · cited by 55
- Finset.nonempty_iff_ne_emptyproof · cited by 34
- Finset.dens_eq_zeroproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Finset.dens_posproof · cited by 1
- Finset.Nonempty.dens_ne_zeroproof · cited by 0