Definition disp_functor_id {C' C} {F} {D' : disp_cat C'} {D : disp_cat C} (FF : disp_functor F D' D) {x} (xx : D' x) : ♯ FF (id_disp xx) = transportb _ (functor_id F x) (id_disp (FF _ xx)) := pr1 (pr2 FF) x xx.
Require Import UniMath.Foundations.Sets. Require Import UniMath.MoreFoundations.PartA. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Isos.