Definition PreShv_to_slice_ob_funct_mor (F : PreShv ∫P) {X Y : C^op} (f : X --> Y) : PreShv_to_slice_ob_funct_fun F X --> PreShv_to_slice_ob_funct_fun F Y := λ p, # (pr1 P) f (pr1 p) ,, # (pr1 F) (mor_to_el_mor (C:=C) f (pr1 p)) (pr2 p).
Require Import UniMath.Foundations.Sets. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.FunctorCategory. Require Import