Definition monoidquotuniv {X Y : monoid} {R : binopeqrel X} (f : monoidfun X Y) (H : iscomprelfun R f) : monoidfun (monoidquot R) Y := monoidfunconstr (ismonoidfun_setquotuniv f H).
Require Import UniMath.MoreFoundations.Subtypes. Require Import UniMath.MoreFoundations.Sets.