proposition: Proposition Delta_has_homsets : has_homsets precat_Delta.
proof: Proof. unfold has_homsets. simpl. intros a b. apply isaset_total2. - exact (fincard_has_homsets a b). - intro f. apply impred_isaset. intro x. apply impred_isaset. intro y. apply impred_isaset. intro. exact (isasetaprop (propproperty (f x ≤ f y))). Qed.
imports: UniMath.Foundations.PartD UniMath.Foundations.NaturalNumbers UniMath.Foundations.Sets UniMath.MoreFoundations.Tactics UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.NaturalTransformations UniMath.Combinatorics.StandardFiniteSets UniMath.Combinatorics.FiniteSets UniMath.CategoryTheory.PrecategoryBinProduct UniMath.CategoryTheory.Monoidal.AlternativeDefinitions.MonoidalCategoriesTensored UniMath.CategoryTheory.Monoidal.AlternativeDefinitions.MonoidalFunctorsTensored UniMath.CategoryTheory.SimplicialSets