Theorems · Theorem
Traversable.foldMap_map
∀ {α β γ : Type u} {t : Type u → Type u} [inst : Traversable t] [LawfulTraversable t] [inst_2 : Monoid γ] (f : α → β)
(g : β → γ) (xs : t α), Traversable.foldMap g (f <$> xs) = Traversable.foldMap (g ∘ f) xs- Defined in
- Mathlib.Control.Fold
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext, Quot.sound
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.
- Monoidstatement and proof · cited by 3,887
- Traversable.traverseproof · cited by 53
- Traversablestatement and proof · cited by 38
- LawfulTraversablestatement and proof · cited by 37
- Traversable.foldMapstatement · cited by 13
- Traversable.traverse_mapproof · cited by 6
- Functor.Const.mk'proof · cited by 3
Cited by5
Results whose statement or proof uses this declaration.
- Traversable.foldlm_mapproof · cited by 0
- Traversable.foldr_mapproof · cited by 0
- Traversable.foldrm_mapproof · cited by 0
- Traversable.toList_mapproof · cited by 0
- Traversable.foldl_mapproof · cited by 0