Theorems · Definition · group theory
FreeMonoid.map
{α : Type u_1} → {β : Type u_2} → (α → β) → FreeMonoid α →* FreeMonoid βThe unique monoid homomorphism FreeMonoid α →* FreeMonoid β that sends
each of x to of (f x).
- Defined in
- Mathlib.Algebra.FreeMonoid.Basic
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 40 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- MonoidHomstatement · cited by 3,629
- FreeMonoidstatement and proof · cited by 147
- FreeMonoid.toListproof · cited by 33
- FreeMonoid.ofListproof · cited by 26
Cited by17
Results whose statement or proof uses this declaration.
- Monoid.Coprod.swapproof · cited by 25
- Monoid.Coprod.mapproof · cited by 12
- FreeMonoid.freeMonoidCongrproof · cited by 3
- FreeMonoid.map_idstatement · cited by 2
- FreeMonoid.map_mapstatement · cited by 2
- Traversable.Free.map_eq_mapstatement · cited by 0
- FreeMonoid.toList_mapstatement · cited by 0
- FreeMonoid.lift_of_comp_eq_mapstatement · cited by 0
- FreeMonoid.map_apply_map_symm_eqstatement and proof · cited by 0
- FreeMonoid.map_compstatement · cited by 0
- FreeMonoid.map_ofstatement · cited by 0
- FreeMonoid.map_surjectivestatement and proof · cited by 0