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Theorems · Definition · group theory

FreeMonoid.ofList

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

The identity equivalence between List α and FreeMonoid α.

Defined in
Mathlib.Algebra.FreeMonoid.Basic
Cited by
26 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.of · cited by 69FreeMonoid.ofFreeMonoid.map · cited by 13FreeMonoid.mapFreeMonoid.map_map · cited by 2FreeMonoid.map_mapTraversable.foldl_toList · cited by 1Traversable.foldl_toListFreeMonoid.toList_ofList · cited by 1FreeMonoid.toList_ofListFreeMonoid.ofList_toList · cited by 1FreeMonoid.ofList_toListFreeSemigroup.toFreeMonoid_mk_eq_cons · cited by 1FreeSemigroup.toFreeMonoi…Monoid.Coprod.con_inv_mul_cancel · cited by 0Coprod.con_inv_mul_cancelTraversable.Free.map_eq_map · cited by 0Free.map_eq_mapFreeMonoid.toList_comp_ofList · cited by 0FreeMonoid.toList_comp_of…Traversable.foldlm_toList · cited by 0Traversable.foldlm_toListFreeMonoid.length_surjective · cited by 0FreeMonoid.length_surject…Traversable.foldr_toList · cited by 0Traversable.foldr_toListTraversable.foldrm_toList · cited by 0Traversable.foldrm_toListFreeMonoid.lift_ofList · cited by 0FreeMonoid.lift_ofListEquiv · cited by 8337EquivEquiv.refl · cited by 274Equiv.reflFreeMonoid · cited by 147FreeMonoidFreeMonoid.ofListCITED BYCITES

Cites3

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

Cited by28

Results whose statement or proof uses this declaration.