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Theorems · Definition · combinatorics

Multiset.powersetCard

{α : Type u_1} → ℕ → Multiset α → Multiset (Multiset α)

powersetCard n s is the multiset of all submultisets of s of length n.

Defined in
Mathlib.Data.Multiset.Powerset
Cited by
29 results in Mathlib
Foundations
Depth 40 from the axioms · uses propext, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Finset.powersetCard · cited by 60Finset.powersetCardMultiset.esymm · cited by 21Multiset.esymmFinset.mem_powersetCard · cited by 14Finset.mem_powersetCardFinset.card_powersetCard · cited by 10Finset.card_powersetCardMultiset.mem_powersetCard · cited by 7Multiset.mem_powersetCardMultiset.powersetCard_coe · cited by 5Multiset.powersetCard_coeMultiset.card_powersetCard · cited by 5Multiset.card_powersetCardMultiset.powersetCard_cons · cited by 4Multiset.powersetCard_consMultiset.powersetCard_eq_empty · cited by 4Multiset.powersetCard_eq_…Multiset.powersetCard_map · cited by 3Multiset.powersetCard_mapMultiset.powersetCard_one · cited by 3Multiset.powersetCard_oneMultiset.powersetCard_zero_left · cited by 3Multiset.powersetCard_zer…Multiset.prod_X_add_C_eq_sum_esymm · cited by 3Multiset.prod_X_add_C_eq_…Polynomial.norm_coeff_le_choose_mul_mahlerMeasure · cited by 3Polynomial.norm_coeff_le_…Multiset.esymm_neg · cited by 2Multiset.esymm_negMultiset · cited by 2627MultisetMultiset.ofList · cited by 290Multiset.ofListMultiset.powersetCardAux · cited by 8Multiset.powersetCardAuxMultiset.powersetCardCITED BYCITES

Cites3

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Cited by31

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