Definition street_opfib : UU := ∏ (e : E) (b : B) (f : F e --> b), ∑ (bb : E) (ff_i : e --> bb × z_iso b (F bb)), # F (pr1 ff_i) = f · pr2 ff_i × is_opcartesian_sopfib (pr1 ff_i).
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.DisplayedCats.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Total. Require Import UniMath.CategoryTheory.DisplayedCats.Fibrations.