Definition Representation_Map {C:category} {X Y:[C^op,SET]} (p : X --> Y) := ∏ (c : C) (y : c ⇒ Y), Representation (fiber p y).
Require Import UniMath.Foundations.Preamble. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import Require Import Require Import UniMath.MoreFoundations.Tactics.