Definition disp_depprod_bicat_idtotiso_2_0 {a : B} (aa bb : disp_depprod_bicat a) : (aa = bb) ≃ disp_adjoint_equivalence (internal_adjoint_equivalence_identity a) aa bb := ((disp_depprod_bicat_disp_adjequiv_weq aa bb) ∘ weqonsecfibers _ _ (λ i, make_weq _ (HD_2_0 i _ _ (idpath a) _ _)) ∘ invweq (weqfunextsec _ _ _))%weq.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.PrecategoryBinProduct. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.BicategoryLaws. Require Import UniMath.Bicategories.Core.Invertible_2cells. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.Bicategories.DisplayedBicats.DispBicat. Import DispBicat.Notations. Require Import UniMath.Bicategories.DisplayedBicats.DispUnivalence. Require Import UniMath.Bicategories.Core.Unitors. Require Import UniMath.Bicategories.Morphisms.Adjunctions. Require Import UniMath.Bicategories.Core.Univalence.