fact: Definition PreShv_to_slice_ob_nat {X Y : PreShv ∫P} (f : X --> Y) (c : C) : (∑ Px : ## P c, ## X (c,, Px)) → (∑ Px : ## P c, ## Y (c,, Px)) := λ p, pr1 p ,, (pr1 f) (c ,, (pr1 p)) (pr2 p).
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