Theorems · Theorem · combinatorics
Finset.dens_union_of_disjoint
∀ {α : Type u_2} [inst : Fintype α] {s t : Finset α} [inst_1 : DecidableEq α],
Disjoint s t → (s ∪ t).dens = s.dens + t.dens- Defined in
- Mathlib.Data.Finset.Density
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 92 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
- Disjointstatement and proof · cited by 2,201
- NNRatstatement and proof · cited by 523
- Finset.densstatement and proof · cited by 55
- Finset.disjUnion_eq_unionproof · cited by 12
- Finset.dens_disjUnionproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- Finset.dens_sdiff_add_densproof · cited by 2
- Finset.dens_sdiff_add_dens_interproof · cited by 1
- Finset.dens_filter_add_dens_filter_not_eq_densproof · cited by 0