Theorems · Theorem
Traversable.toList_spec
∀ {α : Type u} {t : Type u → Type u} [inst : Traversable t] [LawfulTraversable t] (xs : t α),
Traversable.toList xs = FreeMonoid.toList (Traversable.foldMap FreeMonoid.of xs)- Defined in
- Mathlib.Control.Fold
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 41 from the axioms · uses propext, Quot.sound
- Assumes
- TraversableLawfulTraversable
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Equivstatement · cited by 8,337
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- MulOpposite.opproof · cited by 520
- TypeCat.ofHomproof · cited by 389
- MulOpposite.unopproof · cited by 268
- CategoryTheory.types_congr_homproof · cited by 149
- FreeMonoidstatement and proof · cited by 147
- FreeMonoid.ofstatement and proof · cited by 69
- Traversablestatement and proof · cited by 38
- LawfulTraversablestatement and proof · cited by 37
- FreeMonoid.toListstatement and proof · cited by 33
Cited by6
Results whose statement or proof uses this declaration.
- Traversable.foldl_toListproof · cited by 1
- Traversable.foldlm_toListproof · cited by 0
- Traversable.foldr_toListproof · cited by 0
- Traversable.foldrm_toListproof · cited by 0
- Traversable.toList_eq_selfproof · cited by 0
- Traversable.toList_mapproof · cited by 0