Theorems · Theorem · combinatorics
Multiset.filterMap_join
∀ {α : Type u_1} {β : Type v} (S : Multiset (Multiset α)) (f : α → Option β),
Multiset.filterMap f S.join = (Multiset.map (Multiset.filterMap f) S).join- Defined in
- Mathlib.Data.Multiset.Bind
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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.mapstatement and proof · cited by 876
- Multiset.map_consproof · cited by 93
- Multiset.inductionproof · cited by 31
- Multiset.filterMapstatement and proof · cited by 25
- Multiset.joinstatement and proof · cited by 21
- Multiset.join_consproof · cited by 9
- Multiset.filterMap_addproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Multiset.filterMap_bindproof · cited by 0