Definition section_disp_axioms (F : section_disp_data) : UU := ((forall x:C, # F (identity x) = id_disp (F x)) × (forall (x y z : C) (f : x --> y) (g : y --> z), # F (f · g) = (# F f) ;; (# F g))).
Require Import UniMath.Foundations.Sets. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.DisplayedCats.Core.