Lemma free_abgr_extend_comp {X : hSet} {Y : abgr} (g : monoidfun (free_abgr X) Y): free_abgr_extend (g ∘ free_abgr_unit) ~ g. Proof. exact (presented_gr_extend_comp g _). Defined.
Require Import UniMath.MoreFoundations.Subtypes. Require Import UniMath.MoreFoundations.Sets. Require Import UniMath.Algebra.Monoids. Require Import UniMath.Algebra.Groups. Require Import UniMath.Algebra.IteratedBinaryOperations. Require Import UniMath.Combinatorics.Lists.