Theorems · Theorem
Traversable.foldMap_hom
∀ {α β γ : Type u} {t : Type u → Type u} [inst : Traversable t] [LawfulTraversable t] [inst_2 : Monoid α]
[inst_3 : Monoid β] (f : α →* β) (g : γ → α) (x : t γ), f (Traversable.foldMap g x) = Traversable.foldMap (⇑f ∘ g) x- Defined in
- Mathlib.Control.Fold
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Monoidstatement and proof · cited by 3,887
- MonoidHomstatement and proof · cited by 3,629
- Traversablestatement and proof · cited by 38
- LawfulTraversablestatement and proof · cited by 37
- Traversable.foldMapstatement · cited by 13
- LawfulTraversable.naturalityproof · cited by 6
- Functor.Const.mk'proof · cited by 3
- Traversable.mapFoldproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Traversable.foldMap_hom_freeproof · cited by 5
- Traversable.toList_mapproof · cited by 0