Definition to_is_disp_invertible_2cell_lift (Hττ : is_disp_invertible_2cell (D := D₂) (pr1_invertible_2cell_total _ Hτ) ττ) : is_disp_invertible_2cell Hτ ττ. Proof. refine (pr1 Hττ ,, _ ,, _). - abstract (rewrite lift_transportb ; exact (pr12 Hττ)). - abstract (rewrite lift_transportb ; exact (pr22 Hττ)). Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.DisplayedBicats.DispBicat. Import DispBicat.Notations. Require Import UniMath.Bicategories.Core.Univalence. Require Import UniMath.Bicategories.DisplayedBicats.DispInvertibles. Require Import UniMath.Bicategories.DisplayedBicats.DispAdjunctions. Require Import UniMath.Bicategories.DisplayedBicats.DispUnivalence. Section FromLift. End FromLift.