Theorems · Theorem · combinatorics
Finset.powerset_card_biUnion
∀ {α : Type u_1} [inst : DecidableEq (Finset α)] (s : Finset α),
s.powerset = (Finset.range (s.card + 1)).biUnion fun i => Finset.powersetCard i s- Defined in
- Mathlib.Data.Finset.Powerset
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEq
Around this declaration
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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
- SetLike.coeproof · cited by 8,199
- Finset.cardstatement and proof · cited by 2,327
- Finset.rangestatement and proof · cited by 1,341
- Finset.biUnionstatement · cited by 217
- Finset.powersetstatement and proof · cited by 93
- Finset.powersetCardstatement and proof · cited by 60
- Pairwise.set_pairwiseproof · cited by 18
- Finset.disjiUnion_eq_biUnionproof · cited by 11
- Finset.pairwise_disjoint_powersetCardproof · cited by 5
- Finset.powerset_card_disjiUnionproof · cited by 3
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