Definition DF_inv_mor (DM DN: disp_functor H D' D'') (c':C') (d':D' c') : (DF ◦ DM) ↙d' ←d' -->[identity _] (DF ◦ DN) ↙d' ←d' -> DM c' d' -->[identity _] DN c' d'. Proof. intro Hyp. induction d' as (c,(p,d)). destruct p. exact Hyp. Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Functors. Require Import UniMath.CategoryTheory.DisplayedCats.NaturalTransformations. Require Import UniMath.CategoryTheory.DisplayedCats.Isos. Require Import UniMath.CategoryTheory.DisplayedCats.Univalence. Require Import UniMath.CategoryTheory.DisplayedCats.Fibrations. Require Import UniMath.CategoryTheory.DisplayedCats.StreetFibration.