Definition eq_in_set_fiber {C : setcategory} {F : C ⟶ cat_of_setcategory} {x₁ x₂ : C} {f g : F x₁ --> F x₂} (p : f = g) (y : pr1 (F x₁)) : pr11 f y = pr11 g y.
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.