Theorems · Theorem
Traversable.foldMap_hom_free
∀ {α β : Type u} {t : Type u → Type u} [inst : Traversable t] [LawfulTraversable t] [inst_2 : Monoid β]
(f : FreeMonoid α →* β) (x : t α),
f (Traversable.foldMap FreeMonoid.of x) = Traversable.foldMap (⇑f ∘ FreeMonoid.of) x- Defined in
- Mathlib.Control.Fold
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 39 from the axioms · uses propext, Quot.sound
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
- 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
- Traversable.foldMapstatement · cited by 13
- Traversable.foldMap_homproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- Traversable.toList_specproof · cited by 6
- Traversable.foldl_toListproof · cited by 1
- Traversable.foldlm_toListproof · cited by 0
- Traversable.foldr_toListproof · cited by 0
- Traversable.foldrm_toListproof · cited by 0