Proposition isaprop_left_beck_chevalley {w x y z : C} (f : x --> w) (g : y --> w) (h : z --> y) (k : z --> x) (p : k · f = h · g) (L₁ : dependent_sum f) (L₂ : dependent_sum h) : isaprop (left_beck_chevalley f g h k p L₁ L₂). Proof. use impred ; intro. apply isaprop_is_z_isomorphism. Qed.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Prelude. Require Import UniMath.CategoryTheory.Adjunctions.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Univalence. Require Import UniMath.CategoryTheory.DisplayedCats.Functors. Require Import UniMath.CategoryTheory.DisplayedCats.Fibrations. Require Import UniMath.CategoryTheory.DisplayedCats.Fiber. Require Import UniMath.CategoryTheory.whiskering. Require Import UniMath.CategoryTheory.Limits.Pullbacks.