Definition is_eso_full : UU := ∏ (c₁ c₂ : B) (m : c₁ --> c₂) (Hm : fully_faithful_1cell m) (l₁ l₂ : b₂ --> c₁) (k₁ : f · l₁ ==> f · l₂) (k₂ : l₁ · m ==> l₂ · m) (p : (k₁ ▹ m) • rassociator _ _ _ = rassociator _ _ _ • (f ◃ k₂)), ∑ (ξ : l₁ ==> l₂), f ◃ ξ = k₁ × ξ ▹ m = k₂.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.Adjunctions.Core. Require Import UniMath.CategoryTheory.Equivalences.Core. Require Import UniMath.CategoryTheory.Equivalences.FullyFaithful. Require Import UniMath.CategoryTheory.IsoCommaCategory. 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.Examples.BicatOfUnivCats. Require Import UniMath.Bicategories.Morphisms.FullyFaithful. Require Import UniMath.Bicategories.Morphisms.Adjunctions. Require Import UniMath.Bicategories.Morphisms.Properties.ClosedUnderInvertibles. Require Import UniMath.Bicategories.OrthogonalFactorization.Orthogonality. Require Import UniMath.Bicategories.Limits.Pullbacks. Require Import UniMath.Bicategories.Limits.PullbackFunctions. Import PullbackFunctions.Notations. Require Import UniMath.Bicategories.Limits.PullbackEquivalences. Require Import UniMath.Bicategories.Limits.Examples.BicatOfUnivCatsLimits.