Definition functor_univ_prop_reindexing_forward {C C' C'': category} {D:disp_cat C} {F: functor C C'} (H: functor C' C'') (D'': disp_cat C'') (DG: disp_functor (F ∙ H) D D'') : disp_functor H (reindexing_forward D F) D'' := (data_functor_univ_prop_reindexing_forward H D'' DG,, axioms_functor_univ_prop_reindexing_forward H D'' DG).
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Functors. Require Import UniMath.CategoryTheory.DisplayedCats.NaturalTransformations. Require Import UniMath.CategoryTheory.DisplayedCats.Isos. Require Import UniMath.CategoryTheory.DisplayedCats.Univalence. Require Import UniMath.CategoryTheory.DisplayedCats.Fibrations. Require Import UniMath.CategoryTheory.DisplayedCats.StreetFibration.