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Theorems · Definition · group theory

FreeAddMonoid.ofList

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

The identity equivalence between List α and FreeAddMonoid α.

Defined in
Mathlib.Algebra.FreeMonoid.Basic
Cited by
21 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.

FreeAddMonoid.of · cited by 69FreeAddMonoid.ofFreeAddMonoid.map · cited by 14FreeAddMonoid.mapFreeAddMonoid.map_map · cited by 2FreeAddMonoid.map_mapFreeAddSemigroup.toFreeAddMonoid_mk_eq_cons · cited by 1FreeAddSemigroup.toFreeAd…FreeAddMonoid.toList_comp_ofList · cited by 0FreeAddMonoid.toList_comp…FreeAddSemigroup.toFreeAddMonoid_injective · cited by 0FreeAddSemigroup.toFreeAd…FreeAddMonoid.toList_ofList · cited by 0FreeAddMonoid.toList_ofLi…FreeAddMonoid.length_surjective · cited by 0FreeAddMonoid.length_surj…FreeAddMonoid.toList_symm · cited by 0FreeAddMonoid.toList_symmAddMonoid.Coprod.map_mk_ofList · cited by 0Coprod.map_mk_ofListFreeAddMonoid.lift_ofList · cited by 0FreeAddMonoid.lift_ofListAddMonoid.Coprod.neg_def · cited by 0Coprod.neg_defAddMonoid.Coprod.con_neg_add_cancel · cited by 0Coprod.con_neg_add_cancelFreeAddMonoid.ofList_append · cited by 0FreeAddMonoid.ofList_appe…FreeAddMonoid.ofList_comp_toList · cited by 0FreeAddMonoid.ofList_comp…Equiv · cited by 8337EquivEquiv.refl · cited by 274Equiv.reflFreeAddMonoid · cited by 145FreeAddMonoidFreeAddMonoid.ofListCITED BYCITES

Cites3

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Cited by23

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