Theorems · Theorem · combinatorics
Finset.dens_sdiff_add_dens
∀ {α : Type u_2} [inst : Fintype α] [inst_1 : DecidableEq α] (s t : Finset α), (s \ t).dens + t.dens = (s ∪ t).dens- 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
- 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
- NNRatstatement and proof · cited by 523
- Finset.densstatement and proof · cited by 55
- Finset.sdiff_disjointproof · cited by 20
- Finset.sdiff_union_self_eq_unionproof · cited by 5
- Finset.dens_union_of_disjointproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Finset.dens_le_dens_sdiff_add_densproof · cited by 1
- Finset.dens_sdiff_commproof · cited by 0