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Theorems · Theorem · combinatorics

Multiset.powersetCard_cons

∀ {α : Type u_1} (n : ℕ) (a : α) (s : Multiset α),
  Multiset.powersetCard (n + 1) (a ::ₘ s) =
    Multiset.powersetCard (n + 1) s + Multiset.map (Multiset.cons a) (Multiset.powersetCard n s)
Defined in
Mathlib.Data.Multiset.Powerset
Cited by
4 results in Mathlib
Foundations
Depth 41 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.

Multiset.powersetCard_map · cited by 3Multiset.powersetCard_mapMultiset.esymm_pair_one · cited by 1Multiset.esymm_pair_oneMultiset.esymm_pair_two · cited by 1Multiset.esymm_pair_twoMultiset.powersetCard_self · cited by 0Multiset.powersetCard_selfMultiset · cited by 2627MultisetMultiset.map · cited by 876Multiset.mapMultiset.cons · cited by 313Multiset.consMultiset.ofList · cited by 290Multiset.ofListMultiset.powersetCard · cited by 29Multiset.powersetCardMultiset.powersetCardAux · cited by 8Multiset.powersetCardAuxMultiset.powersetCardAux_cons · cited by 2Multiset.powersetCardAux_…Multiset.powersetCard_consCITED BYCITES

Cites7

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Cited by4

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