Definition is_opcartesian_sopfib {e₁ e₂ : E} (f : e₁--> e₂) : UU := ∏ (e₃ : E) (g : e₁ --> e₃) (h : F e₂ --> F e₃) (p : #F g = #F f · h), ∃! (φ : e₂ --> e₃), #F φ = h × f · φ = g.
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.