Definition section_nat_trans_disp_axioms {F F': section_disp} (nt : section_nat_trans_disp_data F F') : UU := ∏ x x' (f : x --> x'), transportf _ (id_right _ @ !(id_left _)) (section_disp_on_morphisms F f ;; nt x') = nt x ;; section_disp_on_morphisms F' f.
Require Import UniMath.Foundations.Sets. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.DisplayedCats.Core.