Theorems · Theorem · combinatorics
Multiset.coe_bind
∀ {α : Type u_1} {β : Type v} (l : List α) (f : α → List β), ((↑l).bind fun a => ↑(f a)) = ↑(List.flatMap f l)- Defined in
- Mathlib.Data.Multiset.Bind
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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.ofListstatement and proof · cited by 290
- Multiset.bindstatement and proof · cited by 59
- Multiset.joinproof · cited by 21
- Multiset.coe_joinproof · cited by 1
Cited by5
Results whose statement or proof uses this declaration.
- Multiset.bind_powerset_lenproof · cited by 2
- Multiset.coe_sigmaproof · cited by 1
- Multiset.pi_coeproof · cited by 1
- Multiset.coe_productproof · cited by 1
- Multiset.nodup_bindproof · cited by 0