Definition has_equifier_ump_1_left_adjoint_equivalence_pr1 (q : equifier_cone f₂ g₂ α₂ β₂) : invertible_2cell (has_equifier_ump_1_left_adjoint_equivalence_mor q · equifier_cone_pr1 cone₂) (equifier_cone_pr1 q) := comp_of_invertible_2cell (rassociator_invertible_2cell _ _ _) (comp_of_invertible_2cell (lwhisker_of_invertible_2cell _ γ₁) (comp_of_invertible_2cell (lassociator_invertible_2cell _ _ _) (comp_of_invertible_2cell (rwhisker_of_invertible_2cell _ (equifier_ump_mor_pr1 H _ _)) (comp_of_invertible_2cell (rassociator_invertible_2cell _ _ _) (comp_of_invertible_2cell (lwhisker_of_invertible_2cell _ εx) (runitor_invertible_2cell _)))))).
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.BicategoryLaws. Require Import UniMath.Bicategories.Core.EquivToAdjequiv. Require Import UniMath.Bicategories.Morphisms.Adjunctions. Require Import UniMath.Bicategories.Morphisms.FullyFaithful. Require Import UniMath.Bicategories.Morphisms.Properties.ContainsAdjEquiv. Require Import UniMath.Bicategories.Limits.Equifiers.