Theorems · Theorem · combinatorics
Finset.dens_union_add_dens_inter
∀ {α : Type u_2} [inst : Fintype α] [inst_1 : DecidableEq α] (s t : Finset α),
(s ∪ t).dens + (s ∩ t).dens = s.dens + t.dens- Defined in
- Mathlib.Data.Finset.Density
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FintypeDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Finset.densstatement · cited by 55
- Finset.card_union_add_card_interproof · cited by 14
Cited by2
Results whose statement or proof uses this declaration.
- Finset.dens_union_leproof · cited by 0
- Finset.dens_inter_add_dens_unionproof · cited by 0