Lemma is_finite_graph_interval : is_finite_graph interval_graph. Proof. split. - exact isfinitebool. - use bool_rect; use bool_rect; try exact isfiniteempty. exact isfiniteunit. Qed.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Limits.Graphs.Colimits. Require Import UniMath.Combinatorics.StandardFiniteSets. Require Import UniMath.Combinatorics.FiniteSets.