Theorems · Theorem · combinatorics
Multiset.add_bind
∀ {α : Type u_1} {β : Type v} (s t : Multiset α) (f : α → Multiset β), (s + t).bind f = s.bind f + t.bind f- Defined in
- Mathlib.Data.Multiset.Bind
- Cited by
- 4 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.
Cites6
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.bindstatement · cited by 59
- Multiset.map_addproof · cited by 26
- Multiset.joinproof · cited by 21
- Multiset.join_addproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- Multiset.bind_assocproof · cited by 4
- Multiset.add_productproof · cited by 1
- Multiset.antidiagonal_addproof · cited by 0
- Multiset.add_sigmaproof · cited by 0