Theorems · Theorem
LawfulTraversable.traverse_eq_map_id
∀ {t : Type u → Type u} {inst : Traversable t} [self : LawfulTraversable t] {α β : Type u} (f : α → β) (x : t α),
traverse (pure ∘ f) x = pure (f <$> x)An axiom for traverse involving pure : β → Id β.
- Defined in
- Mathlib.Control.Traversable.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
- Assumes
- LawfulTraversable
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Traversable.traversestatement · cited by 53
- Traversablestatement and proof · cited by 38
- LawfulTraversablestatement and proof · cited by 37
Cited by3
Results whose statement or proof uses this declaration.
- Traversable.map_eq_traverse_idproof · cited by 2
- Equiv.traverse_eq_map_idproof · cited by 2
- Traversable.traverse_eq_map_id'proof · cited by 0