Definition total_set_category_pb_ump_2_unique : isaprop (∑ (γ : φ₁ ⟹ φ₂), post_whisker γ (pr1_total_category_of_set_functor G₁) = δ₁ × post_whisker γ (functor_total_category_of_set_functor F α) = δ₂).
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.NaturalTransformations. Require Import UniMath.CategoryTheory.Core.Setcategories. Require Import UniMath.CategoryTheory.whiskering. Require Import UniMath.CategoryTheory.DisplayedCats.StreetOpFibration. Require Import UniMath.CategoryTheory.Categories.CategoryOfSetCategories. Require Import UniMath.CategoryTheory.GrothendieckConstruction.TotalCategory. Require Import UniMath.CategoryTheory.GrothendieckConstruction.Projection. Require Import UniMath.CategoryTheory.GrothendieckConstruction.IsosInTotal. Section PullbackFromTotal. End PullbackFromTotal.