proposition: Lemma free_abgrfun_setquotpr {X Y : hSet} (f : X → Y) (x : free_gr X) : free_abgrfun f (setquotpr _ x) = setquotpr _ (free_grfun f x).
proof: Proof. refine (setquotunivcomm _ _ _ _ _ @ _). rewrite free_gr_extend_funcomp. exact (free_gr_extend_comp _ (free_grfun f x)). Defined.
imports: UniMath.MoreFoundations.Subtypes UniMath.MoreFoundations.Sets UniMath.Algebra.Monoids UniMath.Algebra.Groups UniMath.Algebra.IteratedBinaryOperations UniMath.Combinatorics.Lists