proposition: Lemma trivial_disp_prebicat_laws : disp_prebicat_laws trivial_displayed_data.
proof: Proof. repeat apply make_dirprod; red; cbn; intros. - etrans. { apply id2_left. } apply transportf_trivial. - etrans. { apply id2_right. } apply transportf_trivial. - etrans. { apply vassocr. } apply transportf_trivial. - etrans. { apply lwhisker_id2. } apply transportf_trivial. - etrans. { apply id2_rwhisker. } apply transportf_trivial. - etrans. { apply lwhisker_vcomp. } apply transportf_trivial. - etrans. { apply rwhisker_vcomp. } apply transportf_trivial. - etrans. { apply vcomp_lunitor. } apply transportf_trivial. - etrans. { apply vcomp_runitor. } apply transportf_trivial. - etrans. { apply lwhisker_lwhisker. } apply transportf_trivial. - etrans. { apply rwhisker_lwhisker. } apply transportf_trivial. - etrans. { apply rwhisker_rwhisker. } apply transportf_trivial. - etrans. { apply vcomp_whisker. } apply transportf_trivial. - etrans. { apply lunitor_linvunitor. } apply transportf_trivial. - etrans. { apply linvunitor_lunitor. } apply transportf_trivial. - etrans. { apply runitor_rinvunitor. } apply transportf_trivial. - etrans. { apply rinvunitor_runitor. } apply transportf_trivial. - etrans. { apply lassociator_rassociator. } apply transportf_trivial. - etrans. { apply rassociator_lassociator. } apply transportf_trivial. - etrans. { apply runitor_rwhisker. } apply transportf_trivial. - etrans. { apply lassociator_lassociator. } apply transportf_trivial. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Constructions UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.Examples.Initial UniMath.Bicategories.Core.Examples.Final UniMath.Bicategories.Core.Invertible_2cells UniMath.Bicategories.Core.Univalence UniMath.Bicategories.Core.Unitors UniMath.Bicategories.Core.AdjointUnique UniMath.Bicategories.DisplayedBicats.DispBicat UniMath.Bicategories.DisplayedBicats.DispAdjunctions UniMath.Bicategories.DisplayedBicats.DispInvertibles UniMath.Bicategories.DisplayedBicats.DispUnivalence