Lemma dual_left_beck_chevalley_nat_trans_ob (xx : D[{x}]) : ℓ (G(R₁ xx)) = #L₂(#H(φ₁(G(R₁ xx)))) · #L₂(τ(L₁(G(R₁ xx)))) · ψ₂(F(L₁(G(R₁ xx)))). Proof. apply left_beck_chevalley_nat_trans_ob. 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.Limits.Pullbacks. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Isos. Require Import UniMath.CategoryTheory.DisplayedCats.Fiber. Require Import UniMath.CategoryTheory.DisplayedCats.Fibrations. Require Import UniMath.CategoryTheory.DisplayedCats.Fiberwise.DependentSums. Require Import UniMath.CategoryTheory.DisplayedCats.Fiberwise.DependentProducts.