Theorems · Theorem · combinatorics
Multiset.bind_powerset_len
∀ {α : Type u_2} (S : Multiset α), ((Multiset.range (S.card + 1)).bind fun k => Multiset.powersetCard k S) = S.powerset- Defined in
- Mathlib.Data.Multiset.Powerset
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Multisetstatement and proof · cited by 2,627
- Multiset.cardstatement and proof · cited by 375
- Multiset.ofListproof · cited by 290
- Multiset.bindstatement and proof · cited by 59
- Multiset.rangestatement and proof · cited by 30
- Multiset.powersetCardstatement and proof · cited by 29
- Multiset.powersetstatement · cited by 27
- List.sublistsLenproof · cited by 19
- Multiset.bind_congrproof · cited by 15
- Multiset.coe_eq_coeproof · cited by 11
- Multiset.powerset_coe'proof · cited by 9
- Multiset.coe_bindproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- Multiset.prod_X_add_C_eq_sum_esymmproof · cited by 3
- Multiset.sup_powerset_lenproof · cited by 0