Definition reindex_of_opcartesian_disp_functor {C₁ C₂ : category} (F : C₁ ⟶ C₂) {D₁ D₂ : disp_cat C₂} (G : opcartesian_disp_functor (functor_identity _) D₁ D₂) (HD₁ : opcleaving D₁) : opcartesian_disp_functor (functor_identity _) (reindex_disp_cat F D₁) (reindex_disp_cat F D₂) := reindex_of_disp_functor F G ,, reindex_of_disp_functor_is_opcartesian_disp_functor F G HD₁ (pr2 G).
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.whiskering. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Functors. Require Import UniMath.CategoryTheory.DisplayedCats.NaturalTransformations. Require Import UniMath.CategoryTheory.DisplayedCats.Total. Require Import UniMath.CategoryTheory.DisplayedCats.Isos. Require Import UniMath.CategoryTheory.DisplayedCats.Univalence. Require Import UniMath.CategoryTheory.DisplayedCats.Fibrations. Section IsCartesianFromReindexDispCat. End IsCartesianFromReindexDispCat. Section IsOpCartesianFromReindexDispCat. End IsOpCartesianFromReindexDispCat.