fact: Definition slice_to_fam_mor_fun {a b : slice X} (f : a --> b) (x : X) : (s_to_f a : functor (discrete X) HSET) x --> (s_to_f b : functor (discrete X) HSET) x := λ p, hfibersgftog (pr1 f) (pr2 b) _ (transportf (λ p, hfiber p x) (pr2 f) p).
imports: UniMath.Foundations.Sets UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Categories.HSET.Core UniMath.CategoryTheory.Categories.HSET.MonoEpiIso UniMath.CategoryTheory.Categories.HSET.Univalence UniMath.CategoryTheory.Categories.HSET.Slice UniMath.CategoryTheory.slicecat UniMath.CategoryTheory.Adjunctions.Core UniMath.CategoryTheory.Equivalences.Core UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.Groupoids UniMath.CategoryTheory.Categories.StandardCategories