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Theorems · Definition · group theory

FreeMonoid.toList

{α : Type u_1} → FreeMonoid α ≃ List α

The identity equivalence between FreeMonoid α and List α.

Defined in
Mathlib.Algebra.FreeMonoid.Basic
Cited by
33 results in Mathlib
Foundations
Depth 11 from the axioms · uses no axioms
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

FreeMonoid.lift · cited by 20FreeMonoid.liftFreeMonoid.map · cited by 13FreeMonoid.mapFreeMonoid.length · cited by 12FreeMonoid.lengthTraversable.toList_spec · cited by 6Traversable.toList_specMonoid.Foldl.ofFreeMonoid · cited by 5Foldl.ofFreeMonoidMonoid.foldlM.ofFreeMonoid · cited by 3foldlM.ofFreeMonoidMonoid.foldrM.ofFreeMonoid · cited by 3foldrM.ofFreeMonoidMonoid.Foldr.ofFreeMonoid · cited by 3Foldr.ofFreeMonoidFreeMonoid.countP' · cited by 3FreeMonoid.countP'FreeMonoid.map_map · cited by 2FreeMonoid.map_mapFreeMonoid.lift_apply · cited by 1FreeMonoid.lift_applyFreeMonoid.ofList_toList · cited by 1FreeMonoid.ofList_toListFreeMonoid.toList_of · cited by 1FreeMonoid.toList_ofFreeMonoid.toList_ofList · cited by 1FreeMonoid.toList_ofListFreeMonoid.toList_prod · cited by 1FreeMonoid.toList_prodEquiv · cited by 8337EquivEquiv.refl · cited by 274Equiv.reflFreeMonoid · cited by 147FreeMonoidFreeMonoid.toListCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by42

Results whose statement or proof uses this declaration.