Definition disp_depprod_bicat_idtotiso_2_1 {a b : B} {f : B ⟦ a, b ⟧} {aa : disp_depprod_bicat a} {bb : disp_depprod_bicat b} (ff : aa -->[ f] bb) (gg : aa -->[ f] bb) : ff = gg ≃ disp_invertible_2cell (id2_invertible_2cell f) ff gg := ((disp_depprod_bicat_disp_invertible_2cell_weq ff gg) ∘ weqonsecfibers _ _ (λ i, make_weq _ (HD_2_1 i _ _ _ _ (idpath _) _ _ (ff i) (gg i))) ∘ 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.