Theorems · Theorem · combinatorics
Multiset.card_powersetCard
∀ {α : Type u_1} (n : ℕ) (s : Multiset α), (Multiset.powersetCard n s).card = s.card.choose n- Defined in
- Mathlib.Data.Multiset.Powerset
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 42 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Nat.choosestatement and proof · cited by 494
- Multiset.cardstatement and proof · cited by 375
- Multiset.ofListproof · cited by 290
- Multiset.powersetCardstatement · cited by 29
- Multiset.powersetCard_coeproof · cited by 5
- List.length_sublistsLenproof · cited by 1
Cited by5
Results whose statement or proof uses this declaration.
- Finset.card_powersetCardproof · cited by 10
- Multiset.powersetCard_eq_emptyproof · cited by 4
- Polynomial.norm_coeff_le_choose_mul_mahlerMeasureproof · cited by 3
- Polynomial.coeff_le_of_roots_leproof · cited by 1
- IsNonarchimedean.multiset_powerset_image_addproof · cited by 1