Definition disp_adjoint_equiv_disp_bicat_of_cat_property_dfl_full_comp_cat {P : cat_property} {C₁ C₂ : bicat_of_dfl_full_comp_cat} (F : C₁ --> C₂) (HF : left_adjoint_equivalence F) {H₁ : disp_bicat_of_cat_property_dfl_full_comp_cat P C₁} {H₂ : disp_bicat_of_cat_property_dfl_full_comp_cat P C₂} (FF : H₁ -->[ F ] H₂) : disp_left_adjoint_equivalence HF FF.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Prelude. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Functors. Require Import UniMath.CategoryTheory.DisplayedCats.Fiber. Require Import UniMath.CategoryTheory.DisplayedCats.Fibrations. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.Univalence. Require Import UniMath.Bicategories.Morphisms.Adjunctions. Require Import UniMath.Bicategories.DisplayedBicats.DispBicat. Import DispBicat.Notations. Require Import UniMath.Bicategories.DisplayedBicats.DispUnivalence. Require Import UniMath.Bicategories.DisplayedBicats.Examples.LiftDispBicat. Require Import UniMath.Bicategories.DisplayedBicats.Examples.Sub1Cell. Require Import UniMath.Bicategories.ComprehensionCat.BicatOfCompCat. Require Import UniMath.Bicategories.ComprehensionCat.DFLCompCat. Require Import UniMath.Bicategories.ComprehensionCat.LocalProperty.LocalProperties.