fact: Definition total_set_category_pb_ump_1_mor_eq {x y : C₀} (f : x --> y) : pr1 (# G₁ (# P₁ f)) ((pr11 (αinv (P₁ x))) ((pr11 (# G₂ (pr1 (Hβ x)))) (pr2 (P₂ x)))) = pr1 (αinv (P₁ y)) (pr1 (# G₂ (pr1 (Hβ y))) (pr1 (# G₂ (pr1 (# P₂ f))) (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