Theorems · Theorem
LawfulTraversable.id_traverse
∀ {t : Type u → Type u} {inst : Traversable t} [self : LawfulTraversable t] {α : Type u} (x : t α),
traverse pure x = pure xtraverse plays well with pure of the identity monad
- Defined in
- Mathlib.Control.Traversable.Basic
- Cited by
- 5 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 by5
Results whose statement or proof uses this declaration.
- Equiv.id_traverseproof · cited by 2
- Multiset.id_traverseproof · cited by 1
- Traversable.traverse_idproof · cited by 0
- Traversable.pure_traverseproof · cited by 0
- Traversable.id_sequenceproof · cited by 0