Definition iscomprelfun_from_cobase {Y : SET} (cc : cocone d Y) : iscomprelfun filtered_rel (from_cobase cc). Proof. red; intros *. apply filtered_rel_impl. Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.Sets. Require Import UniMath.MoreFoundations.QuotientSet. Require Import UniMath.MoreFoundations.Subtypes. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Limits.Graphs.Colimits. Require Import UniMath.CategoryTheory.Limits.Filtered. Require Import UniMath.CategoryTheory.Limits.StandardDiagrams. Require Import UniMath.CategoryTheory.Categories.HSET.Core. Require Import UniMath.Combinatorics.FiniteSets. Require Import UniMath.Combinatorics.KFiniteTypes. Require Import UniMath.Combinatorics.KFiniteSubtypes.