Definition left_equivalence_axioms_disp_to_total {a b : B} {aa : D a} {bb : D b} {f : a --> b} {ff : aa -->[f] bb} (td : @left_adjoint_data E (a,,aa) (b,,bb) (f,,ff)) : (∑ (ba : left_equivalence_axioms _), disp_left_equivalence_axioms (_,, ba) (left_adjoint_data_total_to_fiber td)) → left_equivalence_axioms td.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.Bicategories.Core.EquivToAdjequiv. Require Import UniMath.Bicategories.DisplayedBicats.DispBicat. Import DispBicat.Notations. Require Import UniMath.Bicategories.Core.Unitors. Require Import UniMath.Bicategories.Core.Univalence. Require Import UniMath.Bicategories.Core.AdjointUnique. Require Import UniMath.Bicategories.Core.Invertible_2cells. Require Import UniMath.Bicategories.DisplayedBicats.DispInvertibles. Require Import UniMath.Bicategories.Core.Univalence.