Theorems · Theorem · combinatorics
Finset.card_mul_dens
∀ {α : Type u_2} [inst : Fintype α] (s : Finset α), ↑(Fintype.card α) * s.dens = ↑s.card- Defined in
- Mathlib.Data.Finset.Density
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 93 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.
Cites14
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
- MulZeroClass.mul_zeroproof · cited by 2,091
- Nat.cast_zeroproof · cited by 1,870
- Fintype.cardstatement and proof · cited by 1,386
- IsEmptyproof · cited by 759
- NNRatstatement and proof · cited by 523
- isEmpty_or_nonemptyproof · cited by 269
- mul_div_cancel₀proof · cited by 77
- Finset.densstatement and proof · cited by 55
- Fintype.card_eq_zeroproof · cited by 22
Cited by2
Results whose statement or proof uses this declaration.
- Finset.dens_mul_cardproof · cited by 1
- Finset.natCast_card_mul_nnratCast_densproof · cited by 0