Definition idtoiso_equalizer_of_setcategory {C₁ C₂ : setcategory} (F G : C₁ ⟶ C₂) {x y : equalizer_of_setcategory F G} (p : x = y) : pr11 (idtoiso p) = pr1 (idtoiso (maponpaths pr1 p)).
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Setcategories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Categories.CategoryOfSetCategories. Require Import UniMath.CategoryTheory.Limits.Equalizers.