Definition cartesian_cubical_sets_exponentials : Exponentials (@BinProducts_PreShv cartesian_cube_category). Proof. apply Exponentials_functor_HSET. Defined.
Require Import UniMath.MoreFoundations.All. Require Import UniMath.Combinatorics.FiniteSets. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Presheaf. Require Import UniMath.CategoryTheory.Adjunctions.Core. Require Import UniMath.CategoryTheory.ExponentiationLeftAdjoint. Require Import UniMath.CategoryTheory.Limits.BinProducts. Require Import UniMath.CategoryTheory.Limits.Terminal. Require Import UniMath.CategoryTheory.exponentials. Require Import UniMath.CategoryTheory.opp_precat. Require Import UniMath.CategoryTheory.yoneda. Require Import UniMath.CategoryTheory.Categories.HSET.Structures.