Theorems · Theorem
Traversable.toList_map
∀ {α β : Type u} {t : Type u → Type u} [inst : Traversable t] [LawfulTraversable t] (f : α → β) (xs : t α),
Traversable.toList (f <$> xs) = f <$> Traversable.toList xs- Defined in
- Mathlib.Control.Fold
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 42 from the axioms · uses propext, Quot.sound
- Assumes
- TraversableLawfulTraversable
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- FreeMonoid.ofproof · cited by 69
- Traversablestatement and proof · cited by 38
- LawfulTraversablestatement and proof · cited by 37
- FreeMonoid.toListproof · cited by 33
- Traversable.foldMapproof · cited by 13
- FreeMonoid.mapproof · cited by 13
- Traversable.toListstatement · cited by 8
- Traversable.toList_specproof · cited by 6
- Traversable.foldMap_mapproof · cited by 5
- Traversable.foldMap_homproof · cited by 2
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