Definition form_equiv_over {C C' : category} {E : equivalence_of_cats C C'} {D : disp_cat C} {D' : disp_cat C'} (AA : disp_adjunction_data E D D') : UU := (∏ x xx, is_z_iso_disp (adjunitiso E x) (unit_over AA x xx)) × (∏ x xx, is_z_iso_disp (adjcounitiso E x) (counit_over AA x xx)).
Require Import UniMath.Foundations.Sets. Require Import UniMath.MoreFoundations.PartA. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Adjunctions.Core. Require Import UniMath.CategoryTheory.Equivalences.Core. 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.Fiber.