fact: Definition PreShv_of_elems_slice_of_PreShv_equiv : equivalence_of_cats (PreShv ∫P) (PreShv C / P) := (PreShv_to_slice ,, slice_to_PreShv ,, PreShv_unit ,, slice_counit) ,, (PreShv_all_iso ,, slice_all_z_iso).
imports: UniMath.Foundations.Sets UniMath.MoreFoundations.Tactics UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.Equivalences.Core UniMath.CategoryTheory.Categories.HSET.Core UniMath.CategoryTheory.Categories.HSET.MonoEpiIso UniMath.CategoryTheory.slicecat UniMath.CategoryTheory.opp_precat UniMath.CategoryTheory.Presheaf UniMath.CategoryTheory.ElementsOp