Definition disp_functor_comp {C' C} {F} {D' : disp_cat C'} {D : disp_cat C} (FF : disp_functor F D' D) {x y z} {xx : D' x} {yy} {zz} {f : x --> y} {g : y --> z} (ff : xx -->[f] yy) (gg : yy -->[g] zz) : ♯ FF (ff ;; gg) = transportb _ (functor_comp F f g) (♯ FF ff ;; ♯ FF gg) := pr2 (pr2 FF) _ _ _ _ _ _ _ _ ff gg.
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.