fact: Definition functor_total_category_of_set_functor_eq {x y : total_precategory_of_set_functor G₁} (f : x --> y) : pr1 (# G₂ (# F (pr1 f))) (pr1 (pr1 α (pr1 x)) (pr2 x)) = pr1 (α (pr1 y)) (pr1 (# G₁ (pr1 f)) (pr2 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.Categories.CategoryOfSetCategories UniMath.CategoryTheory.GrothendieckConstruction.TotalCategory