proposition: Proposition transpose_whisker_square_bicat_law : whisker_square_bicat_law transpose_ver_bicat_sq_id_comp_whisker.
proof: Proof. repeat split ; intro ; intros ; cbn. - apply uwhisker_square_id. - apply uwhisker_square_comp. - apply dwhisker_square_id. - apply dwhisker_square_comp. - apply lwhisker_square_id. - apply lwhisker_square_comp. - apply rwhisker_square_id. - apply rwhisker_square_comp. - apply rwhisker_lwhisker_square. - refine (!_). apply lwhisker_uwhisker_square. - refine (!_). apply lwhisker_dwhisker_square. - refine (!_). apply rwhisker_uwhisker_square. - refine (!_). apply rwhisker_dwhisker_square. - apply dwhisker_uwhisker_square. - apply uwhisker_id_v_square. - apply lwhisker_id_h_square. - apply lwhisker_hcomp_square. - apply rwhisker_hcomp_square. - apply lrwhisker_hcomp_square. - apply uwhisker_vcomp_square. - apply dwhisker_vcomp_square. - apply ud_whisker_vcomp_square. Qed.
imports: UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Prelude UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.BicategoryLaws UniMath.Bicategories.Core.Unitors UniMath.Bicategories.Core.Invertible_2cells UniMath.Bicategories.DoubleCategories.DoubleBicat.VerityDoubleBicat UniMath.Bicategories.DoubleCategories.DoubleBicat.UnderlyingCats