Definition slice_disp_cat_id_comp : disp_cat_id_comp B slice_disp_cat_ob_mor. Proof. simple refine (_ ,, _). - exact (λ a fa, linvunitor_invertible_2cell _). - exact (λ a₁ a₂ a₃ g₁ g₂ fa₁ fa₂ fa₃ α β, comp_of_invertible_2cell α (comp_of_invertible_2cell (lwhisker_of_invertible_2cell _ β) (lassociator_invertible_2cell _ _ _))). 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.Core.Invertible_2cells. Require Import UniMath.Bicategories.Core.Unitors. Require Import UniMath.Bicategories.Core.BicategoryLaws. Require Import UniMath.Bicategories.Core.EquivToAdjequiv. Require Import UniMath.Bicategories.Core.Univalence. Require Import UniMath.Bicategories.DisplayedBicats.DispBicat. Import DispBicat.Notations. Require Import UniMath.Bicategories.DisplayedBicats.DispInvertibles. Require Import UniMath.Bicategories.DisplayedBicats.DispAdjunctions. Require Import UniMath.Bicategories.DisplayedBicats.DispUnivalence.