Theorems · Theorem · combinatorics
Finset.dens_le_dens
∀ {α : Type u_2} [inst : Fintype α] {s t : Finset α}, s ⊆ t → s.dens ≤ t.dens- Defined in
- Mathlib.Data.Finset.Density
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 91 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
- Fintype.cardproof · cited by 1,386
- NNRatstatement · cited by 523
- Nat.cast_nonneg'proof · cited by 245
- div_le_div_of_nonneg_rightproof · cited by 77
- Finset.densstatement · cited by 55
- Finset.card_monoproof · cited by 24
Cited by3
Results whose statement or proof uses this declaration.
- Finset.dens_le_dens_sdiff_add_densproof · cited by 1
- Finset.dens_monoproof · cited by 0
- Finset.dens_le_oneproof · cited by 0