proposition: Proposition diag_univ_cat_laws : psfunctor_laws diag_univ_cat_data.
proof: Proof. repeat split ; intro ; intros ; (use nat_trans_eq ; [ apply homset_property | ]) ; intro ; use pathsdirprod ; cbn ; try (apply idpath) ; rewrite ?id_left, ?id_right ; try (apply idpath) ; refine (!_) ; apply functor_id. Qed.
imports: UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.PrecategoryBinProduct UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.Invertible_2cells UniMath.Bicategories.Core.Examples.BicatOfUnivCats UniMath.Bicategories.PseudoFunctors.Display.PseudoFunctorBicat UniMath.Bicategories.PseudoFunctors.PseudoFunctor