Theorems · Theorem · combinatorics
Finset.dens_mul_card
∀ {α : Type u_2} [inst : Fintype α] (s : Finset α), s.dens * ↑(Fintype.card α) = ↑s.card- Defined in
- Mathlib.Data.Finset.Density
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 94 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.cardstatement and proof · cited by 2,327
- mul_commproof · cited by 2,262
- Fintype.cardstatement and proof · cited by 1,386
- NNRatstatement and proof · cited by 523
- Finset.densstatement and proof · cited by 55
- Finset.card_mul_densproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Finset.nnratCast_dens_mul_natCast_cardproof · cited by 0