Definition PreShv_to_slice_ob : PreShv ∫P → PreShv C / P. Proof. intro F. exists (PreShv_to_slice_ob_funct F). now exists (PreShv_to_slice_ob_nat_fun F). Defined.
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