Definition PreShv_to_slice_ob_funct_fun (F : PreShv ∫P) : C^op → HSET := λ X, total2_hSet (fun p : ##P X => (pr1 F) (make_ob X 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