Theorems · Theorem · combinatorics
AhlswedeZhang.supSum_singleton
∀ {α : Type u_1} [inst : Fintype α] [inst_1 : DecidableEq α] {s : Finset α} [Nonempty α],
s ≠ Finset.univ → AhlswedeZhang.supSum {s} = ↑(Fintype.card α) * ∑ k ∈ Finset.range (Fintype.card α), (↑k)⁻¹- Cited by
- 1 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FintypeDecidableEqNonempty
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites26
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.sumstatement and proof · cited by 5,195
- Finset.univstatement and proof · cited by 3,473
- add_zeroproof · cited by 2,707
- Finset.cardproof · cited by 2,327
- Finset.sum_congrproof · cited by 2,323
- Fintype.cardstatement and proof · cited by 1,386
- Finset.rangestatement and proof · cited by 1,341
- sub_selfproof · cited by 996
- Finset.filterproof · cited by 949
- Nat.chooseproof · cited by 494
Cited by1
Results whose statement or proof uses this declaration.
- AhlswedeZhang.supSum_of_univ_notMemproof · cited by 1