proposition: Lemma isPredicate_is_coh_strictness_structure {B : bicat} (HB : is_univalent_2_1 B) : isPredicate (@is_coh_strictness_structure B).
proof: Proof. intro S. use isapropdirprod. - do 5 (use impred ; intro). exact (univalent_bicategory_1_cell_hlevel_3 _ HB _ _ _ _ _ _). - do 9 (use impred ; intro). exact (univalent_bicategory_1_cell_hlevel_3 _ HB _ _ _ _ _ _). Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.TwoCategories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Categories.HSET.All UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.Unitors UniMath.Bicategories.Core.Examples.BicatOfUnivCats UniMath.Bicategories.Core.Univalence UniMath.Bicategories.Core.Invertible_2cells UniMath.Bicategories.Morphisms.Adjunctions UniMath.Bicategories.Core.BicategoryLaws UniMath.Bicategories.Core.TransportLaws