Definition PreShv_counit : PreShv_to_slice ∙ slice_to_PreShv ⟹ functor_identity (PreShv ∫P) := pr1 (nat_trafo_z_iso_if_pointwise_z_iso (pr2 (PreShv ∫P)) PreShv_unit PreShv_all_iso).
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