Theorems · Theorem
Traversable.foldl_map
∀ {α β γ : Type u} {t : Type u → Type u} [inst : Traversable t] [LawfulTraversable t] (g : β → γ) (f : α → γ → α)
(a : α) (l : t β), Traversable.foldl f a (g <$> l) = Traversable.foldl (fun x y => f x (g y)) a l- Defined in
- Mathlib.Control.Fold
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
- Assumes
- TraversableLawfulTraversable
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Traversablestatement and proof · cited by 38
- LawfulTraversablestatement and proof · cited by 37
- Traversable.foldMapproof · cited by 13
- Traversable.foldMap_mapproof · cited by 5
- Monoid.Foldl.mkproof · cited by 4
- Traversable.foldlstatement · cited by 2
- Monoid.Foldl.getproof · cited by 1
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