Theorems · Theorem
Traversable.foldl_toList
∀ {α β : Type u} {t : Type u → Type u} [inst : Traversable t] [LawfulTraversable t] (f : α → β → α) (xs : t β) (x : α),
Traversable.foldl f x xs = List.foldl f x (Traversable.toList xs)- Defined in
- Mathlib.Control.Fold
- Cited by
- 1 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.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- MulOpposite.unopproof · cited by 268
- CategoryTheory.types_congr_homproof · cited by 149
- Traversablestatement and proof · cited by 38
- LawfulTraversablestatement and proof · cited by 37
- FreeMonoid.ofListproof · cited by 26
- Traversable.foldMapproof · cited by 13
- Traversable.toListstatement and proof · cited by 8
- Traversable.toList_specproof · cited by 6
- Traversable.foldMap_hom_freeproof · cited by 5
- Monoid.Foldl.ofFreeMonoidproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Traversable.length_toListproof · cited by 0