Lemma section_nat_trans_eq (F F' : section_disp) (a a' : section_nat_trans_disp F F'): (∏ x, a x = a' x) -> a = a'. Proof. intro H. assert (H' : pr1 a = pr1 a'). { now apply funextsec. } apply (total2_paths_f H'). apply proofirrelevance. apply isaprop_section_nat_trans_disp_axioms. Qed.
Require Import UniMath.Foundations.Sets. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.DisplayedCats.Core.