fact: Definition total_set_category_pb_ump_1_mor_pr2_eq (x : C₀) : pr1 (# G₂ (β x)) (pr1 (pr1 α (P₁ x)) ((pr11 (αinv (P₁ x))) ((pr11 (# G₂ (pr1 (Hβ x)))) (pr2 (P₂ x))))) = pr2 (P₂ x).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Setcategories UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.DisplayedCats.StreetOpFibration UniMath.CategoryTheory.Categories.CategoryOfSetCategories UniMath.CategoryTheory.GrothendieckConstruction.TotalCategory UniMath.CategoryTheory.GrothendieckConstruction.Projection UniMath.CategoryTheory.GrothendieckConstruction.IsosInTotal