Theorems · Theorem · combinatorics
Finset.sum_card_slice
∀ {α : Type u_1} (𝒜 : Finset (Finset α)) [inst : Fintype α], ∑ r ≤ Fintype.card α, (𝒜.slice r).card = 𝒜.card- Defined in
- Mathlib.Data.Finset.Slice
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fintype
Around this declaration
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Cites14
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
- SetLike.coeproof · cited by 8,199
- Fintypestatement and proof · cited by 7,736
- Finset.sumstatement · cited by 5,195
- Finset.cardstatement and proof · cited by 2,327
- Fintype.cardstatement and proof · cited by 1,386
- Finset.Iicstatement and proof · cited by 280
- Set.subset_univproof · cited by 228
- Classical.decEqproof · cited by 134
- Finset.card_biUnionproof · cited by 16
- Finset.slicestatement · cited by 14
- Set.PairwiseDisjoint.subsetproof · cited by 8
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