Theorems · Theorem · combinatorics
Finset.dens_disjUnion
∀ {α : Type u_2} [inst : Fintype α] (s t : Finset α) (h : Disjoint s t), (s.disjUnion t h).dens = s.dens + t.dens- Defined in
- Mathlib.Data.Finset.Density
- Cited by
- 1 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.
Cites11
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
- Disjointstatement and proof · cited by 2,201
- Fintype.cardproof · cited by 1,386
- Nat.cast_addproof · cited by 586
- NNRatstatement · cited by 523
- add_divproof · cited by 89
- Finset.densstatement · cited by 55
- Finset.disjUnionstatement · cited by 55
- Finset.card_disjUnionproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Finset.dens_union_of_disjointproof · cited by 3