Definition directed_interval_precategory_data : precategory_data. Proof. use make_precategory_data. - exact directed_interval_precategory_ob_mor. - intro x. induction x. + exact tt. + exact tt. - intros x y z f g. induction x ; induction y ; induction z ; cbn in *. + exact tt. + exact tt. + exact tt. + exact tt. + exact f. + exact tt. + exact g. + exact tt. Defined.
Require Import UniMath.Foundations.Sets. Require Import UniMath.MoreFoundations.PartA. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Core.Setcategories. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.FunctorCategory. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Groupoids. Require Import UniMath.CategoryTheory.Limits.Initial. Require Import UniMath.CategoryTheory.Limits.Terminal. Require Import UniMath.CategoryTheory.Limits.BinCoproducts. Require Import UniMath.CategoryTheory.Limits.BinProducts. Require Import UniMath.CategoryTheory.PrecategoryBinProduct. Require Import UniMath.CategoryTheory.exponentials. Require Import UniMath.CategoryTheory.Adjunctions.Core. Require Import UniMath.CategoryTheory.catiso. Require Import UniMath.Combinatorics.StandardFiniteSets. Section FunctorFromEmpty. End FunctorFromEmpty.