proposition: Proposition precat_fincard_is_precategory : is_precategory precat_fincard_data.
proof: Proof. unfold precat_Delta_precategory_data. unfold is_precategory. split. { split. - intros a b f. unfold "id". simpl in *. reflexivity. - intros a b f. unfold "id". simpl in *. reflexivity. } { split. - reflexivity. - reflexivity. } 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