Theorems · Theorem · category theory
Multiset.traverse_map
∀ {G : Type u_1 → Type u_1} [inst : Applicative G] [inst_1 : CommApplicative G] {α β γ : Type u_1} (g : α → β)
(h : β → G γ) (x : Multiset α), Multiset.traverse h (Multiset.map g x) = Multiset.traverse (h ∘ g) x- Defined in
- Mathlib.Data.Multiset.Functor
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
- Assumes
- ApplicativeCommApplicative
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Cites9
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 · cited by 876
- Multiset.ofListproof · cited by 290
- Traversable.traverseproof · cited by 53
- CommApplicativestatement and proof · cited by 8
- Multiset.traversestatement · cited by 7
- Traversable.traverse_mapproof · cited by 6
- Multiset.lift_coeproof · cited by 5
- List.map_eq_mapproof · cited by 1
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