Definition PreShv_of_elems_slice_of_PreShv_adj_equiv : adj_equivalence_of_cats PreShv_to_slice := @adjointification (PreShv ∫P) (PreShv C / P) PreShv_of_elems_slice_of_PreShv_equiv.
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