Theorems · Definition · combinatorics
Finset.powerset
{α : Type u_1} → Finset α → Finset (Finset α)When s is a finset, s.powerset is the finset of all subsets of s (seen as finsets).
- Defined in
- Mathlib.Data.Finset.Powerset
- Cited by
- 93 results in Mathlib
- Foundations
- Depth 63 from the axioms, rests on 1,059 definitions · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- Finset.valproof · cited by 438
- Multiset.powersetproof · cited by 27
- Multiset.pmapproof · cited by 16
Cited by97
Results whose statement or proof uses this declaration.
- Finset.mem_powersetstatement · cited by 26
- Finset.subsetSumproof · cited by 11
- Finset.shattererproof · cited by 11
- Finset.card_powersetstatement · cited by 8
- Finpartition.atomiseproof · cited by 7
- Finset.prod_addstatement and proof · cited by 7
- Finset.mem_powerset_selfstatement · cited by 6
- Finset.ssubsetsproof · cited by 6
- Finset.powerset_univstatement and proof · cited by 6
- Finset.empty_mem_powersetstatement · cited by 5
- Finset.coe_powersetstatement · cited by 5
- Set.Finite.finite_subsetsproof · cited by 5