Definition has_bincoprod_ump_2_left_adjoint_equivalence : bincoprod_ump_2 cone₂. Proof. intros c φ ψ α β. use iscontraprop1. - exact (has_bincoprod_ump_2_left_adjoint_equivalence_unique α β). - simple refine (_ ,, _ ,, _). + exact (has_bincoprod_ump_2_left_adjoint_equivalence_cell α β). + exact (has_bincoprod_ump_2_left_adjoint_equivalence_inl α β). + exact (has_bincoprod_ump_2_left_adjoint_equivalence_inr α β). 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.EquivToAdjequiv. Require Import UniMath.Bicategories.Core.Examples.OpMorBicat. Require Import UniMath.Bicategories.Morphisms.Adjunctions. Require Import UniMath.Bicategories.Morphisms.FullyFaithful. Require Import UniMath.Bicategories.Morphisms.Properties.ContainsAdjEquiv. Require Import UniMath.Bicategories.Colimits.Coproducts.