proposition: Lemma free_abmonoid_extend_comp {X : hSet} {Y : abmonoid} (g : monoidfun (free_abmonoid X) Y): free_abmonoid_extend (g ∘ free_abmonoid_unit) ~ g.
proof: Proof. apply (presented_monoid_extend_comp g). Defined.
imports: UniMath.MoreFoundations.Subtypes UniMath.MoreFoundations.Sets UniMath.Algebra.Monoids UniMath.Algebra.Groups UniMath.Algebra.IteratedBinaryOperations UniMath.Combinatorics.Lists