proposition: Lemma empty_is_terminal_cartesian_cube_category : Terminal cartesian_cube_category.
proof: Proof. exists 0. intro n. apply iscontrfunfromempty2. use weqstn0toempty. Defined.
imports: UniMath.MoreFoundations.All UniMath.Combinatorics.FiniteSets UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Presheaf UniMath.CategoryTheory.Adjunctions.Core UniMath.CategoryTheory.ExponentiationLeftAdjoint UniMath.CategoryTheory.Limits.BinProducts UniMath.CategoryTheory.Limits.Terminal UniMath.CategoryTheory.exponentials UniMath.CategoryTheory.opp_precat UniMath.CategoryTheory.yoneda UniMath.CategoryTheory.Categories.HSET.Structures