Definition opcartesian_factorization_sopfib_over {e₁ e₂ : E} {f : e₁--> e₂} (Hf : is_opcartesian_sopfib f) {e₃ : E} (g : e₁ --> e₃) (h : F e₂ --> F e₃) (p : #F g = #F f · h) : #F (opcartesian_factorization_sopfib Hf g h p) = h := pr121 (Hf e₃ g h p).
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.