Lemma has_homsets_wosetfun_precategory : has_homsets wosetfun_precategory. Proof. intros X Y. apply (isasetsubset (pr1wofun X Y)). - apply isaset_set_fun_space. - apply isinclpr1; intro f. apply isaprop_iswofun. Qed.
Require Import UniMath.MoreFoundations.All. Require Import UniMath.OrderTheory.OrderedSets.OrderedSets. Require Import UniMath.OrderTheory.OrderedSets.WellOrderedSets. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Setcategories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Adjunctions.Core. Require Import UniMath.CategoryTheory.Categories.HSET.Core. Require Import UniMath.CategoryTheory.Categories.HSET.Limits. Require Import UniMath.CategoryTheory.Limits.BinProducts. Require Import UniMath.CategoryTheory.Limits.Initial. Require Import UniMath.CategoryTheory.Limits.Terminal. Require Import UniMath.CategoryTheory.exponentials.