Definition pb_ump_mor_left_adjoint_equivalence_unit : id₁ cone₂ ==> pr1 (pr1 H₁ cone₂) · pb_ump_mor H₂ cone₁. Proof. use (pb_ump_cell H₂) ; cbn. - exact pb_ump_mor_left_adjoint_equivalence_unit_pr1. - exact pb_ump_mor_left_adjoint_equivalence_unit_pr2. - exact pb_ump_mor_left_adjoint_equivalence_unit_cell. Defined.
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.Bicategories.Core.Invertible_2cells. Require Import UniMath.Bicategories.Core.Univalence. Require Import UniMath.Bicategories.Core.AdjointUnique. Require Import UniMath.Bicategories.Core.EquivToAdjequiv. Require Import UniMath.Bicategories.Core.BicategoryLaws. Require Import UniMath.Bicategories.Core.Unitors. Require Import UniMath.Bicategories.Core.TransportLaws. Require Import UniMath.Bicategories.Morphisms.Adjunctions. Require Import UniMath.Bicategories.Morphisms.Properties.ClosedUnderInvertibles. Require Import UniMath.Bicategories.Limits.Pullbacks.