fact: Definition slice_unit : functor_identity (PreShv C / P) ⟹ slice_to_PreShv ∙ PreShv_to_slice := pr1 (nat_trafo_z_iso_if_pointwise_z_iso (has_homsets_slice_precat ((PreShv C)) P) (slice_counit) 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