Definition is_cartesian_2cell_sfib_postcomp : is_cartesian_2cell_sfib p α. Proof. intros k δ δp r. use iscontraprop1. - exact (is_cartesian_2cell_sfib_postcomp_unique δp r). - simple refine (_ ,, _ ,, _). + exact (is_cartesian_2cell_sfib_postcomp_factor δp r). + apply is_cartesian_2cell_sfib_factor_over. + exact (is_cartesian_2cell_sfib_postcomp_comm δp r). 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.DisplayedCats.StreetFibration. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.Invertible_2cells. Require Import UniMath.Bicategories.Core.Univalence.