Theorems · Theorem · combinatorics
Multiset.filter_bind
∀ {α : Type u_1} {β : Type v} (m : Multiset α) (f : α → Multiset β) (p : β → Prop) [inst : DecidablePred p],
Multiset.filter p (m.bind f) = m.bind fun a => Multiset.filter p (f a)- Defined in
- Mathlib.Data.Multiset.Bind
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidablePred
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Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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.mapproof · cited by 876
- Multiset.map_congrproof · cited by 232
- Multiset.map_mapproof · cited by 151
- Multiset.filterstatement and proof · cited by 102
- Multiset.bindstatement · cited by 59
- Multiset.joinproof · cited by 21
- Multiset.filter_joinproof · cited by 1
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