fact: Definition free_abgr_pr (X : hSet) : monoidfun (free_gr X) (free_abgr X) := monoidquotpr _.
imports: UniMath.MoreFoundations.Subtypes UniMath.MoreFoundations.Sets UniMath.Algebra.Monoids UniMath.Algebra.Groups UniMath.Algebra.IteratedBinaryOperations UniMath.Combinatorics.Lists