Lemma is_finite_graph_pair : is_finite_graph pair_graph. Proof. split. - exact(isfinitestn 2). - use two_rec_dep; use two_rec_dep; try exact isfiniteempty. apply isfinitecoprod; apply 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.