Definition equalizer_of_setcategory_ump_mor_is_functor {C₁ C₂ : setcategory} (F G : C₁ ⟶ C₂) {C₀ : setcategory} (H : C₀ ⟶ C₁) (p : H ∙ F = H ∙ G) : is_functor (equalizer_of_setcategory_ump_mor_data F G H 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.