Definition is_opcartesian_sopfib_eq {C₁ C₂ : category} (F : C₁ ⟶ C₂) {x₁ x₂ : C₁} {f₁ f₂ : x₁ --> x₂} (p : f₁ = f₂) (Hf₁ : is_opcartesian_sopfib F f₁) : is_opcartesian_sopfib F f₂. Proof. induction p. exact Hf₁. Defined.
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.