Theorems · Theorem
Traversable.traverse_map
∀ {t : Type u → Type u} [inst : Traversable t] [LawfulTraversable t] {F : Type u → Type u} [inst_2 : Applicative F]
[LawfulApplicative F] {α β γ : Type u} (f : β → F γ) (g : α → β) (x : t α), traverse f (g <$> x) = traverse (f ∘ g) x- Defined in
- Mathlib.Control.Traversable.Lemmas
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext, 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.
- Traversable.traversestatement and proof · cited by 53
- Functor.Compproof · cited by 39
- Traversablestatement and proof · cited by 38
- LawfulTraversablestatement and proof · cited by 37
- Functor.Comp.mkproof · cited by 26
- LawfulTraversable.comp_traverseproof · cited by 5
- Traversable.map_eq_traverse_idproof · cited by 2
- Functor.Comp.applicative_id_compproof · cited by 1
Cited by6
Results whose statement or proof uses this declaration.
- Traversable.foldMap_mapproof · cited by 5
- Traversable.naturality'proof · cited by 0
- Traversable.traverse_map'proof · cited by 0
- Traversable.comp_sequenceproof · cited by 0
- Traversable.id_sequenceproof · cited by 0
- Multiset.traverse_mapproof · cited by 0