fact: Definition free_monoidfun {X Y : hSet} (f : X → Y) : monoidfun (free_monoid X) (free_monoid Y).
imports: UniMath.MoreFoundations.Subtypes UniMath.MoreFoundations.Sets UniMath.Algebra.Monoids UniMath.Algebra.Groups UniMath.Algebra.IteratedBinaryOperations UniMath.Combinatorics.Lists