Definition eq_mor_category_of_set_functor {C : setcategory} {F : C ⟶ cat_of_setcategory} {x y : total_precategory_data_of_set_functor F} {f g : x --> y} (p : pr1 f = pr1 g) (q : pr2 f = idtoiso (maponpaths (λ z, pr1 (#F z) (pr2 x)) p) · pr2 g) : f = g.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.Setcategories. Require Import UniMath.CategoryTheory.Categories.CategoryOfSetCategories.