Theorems · Theorem · combinatorics
Finset.powersetCard_one
∀ {α : Type u_1} (s : Finset α), Finset.powersetCard 1 s = Finset.map { toFun := singleton, inj' := ⋯ } s- Defined in
- Mathlib.Data.Finset.Powerset
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- Multiset.mapproof · cited by 876
- Finset.mapstatement and proof · cited by 747
- Finset.valproof · cited by 438
- Multiset.map_congrproof · cited by 232
- Multiset.map_mapproof · cited by 151
- Finset.powersetCardstatement and proof · cited by 60
- Finset.eq_of_veqproof · cited by 45
- Finset.singleton_injectivestatement and proof · cited by 14
- Finset.val_injectiveproof · cited by 9
- Multiset.map_injectiveproof · cited by 6
- Multiset.powersetCard_oneproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- MultilinearMap.map_add_eq_map_add_linearDeriv_addproof · cited by 1
- MvPolynomial.esymm_oneproof · cited by 0