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Theorems · Theorem · combinatorics

Multiset.filterMap_eq_bind

∀ {α : Type u_1} {β : Type v} (m : Multiset α) (f : α → Option β),
  Multiset.filterMap f m = m.bind fun a => (Option.map singleton (f a)).getD 0
Defined in
Mathlib.Data.Multiset.Bind
Cited by
1 results in Mathlib
Foundations
Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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Multiset.bind_filterMap · cited by 0Multiset.bind_filterMapMultiset · cited by 2627MultisetMultiset.bind · cited by 59Multiset.bindMultiset.induction · cited by 31Multiset.inductionMultiset.filterMap · cited by 25Multiset.filterMapMultiset.cons_bind · cited by 13Multiset.cons_bindMultiset.filterMap_cons · cited by 2Multiset.filterMap_consMultiset.filterMap_eq_bindCITED BYCITES

Cites6

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Cited by1

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