proposition: Lemma univalent_bicategory_1_cell_hlevel_3 (C : bicat) (HC : is_univalent_2_1 C) (a b : C) : isofhlevel 3 (C⟦a,b⟧).
proof: Proof. intros f g. apply (isofhlevelweqb _ (idtoiso_2_1 f g,, HC _ _ f g)). apply isaset_invertible_2cell. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Groupoids UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Core.Isos UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.Unitors UniMath.Bicategories.Core.Invertible_2cells UniMath.Bicategories.Morphisms.Adjunctions UniMath.Bicategories.Core.BicategoryLaws