Definition id_left_disp {C} {D : disp_cat C} {x y} {f : x --> y} {xx : D x} {yy} (ff : xx -->[f] yy) : id_disp _ ;; ff = transportb _ (id_left _) ff := pr1 (pr2 D) _ _ _ _ _ _.
Require Import UniMath.Foundations.Sets. Require Import UniMath.Foundations.PartD. Require Import UniMath.MoreFoundations.PartA. Require Import UniMath.MoreFoundations.AxiomOfChoice. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.whiskering.