Definition slice_to_PreShv_ob : PreShv C / P → PreShv ∫P := λ Q, slice_to_PreShv_ob_funct_data Q ,, slice_to_PreShv_ob_is_funct Q.
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