Definition to_eso_full_slice (Hα : is_eso (pr1 α)) : is_eso_full α := λ h₁ h₂ μ Hμ β₁ β₂ p₁ p₂ r, to_eso_slice_lift_2 Hα Hμ p₁ p₂ r ,, to_eso_slice_lift_2_left Hα Hμ p₁ p₂ r ,, to_eso_slice_lift_2_right Hα Hμ p₁ p₂ r.
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.Unitors. Require Import UniMath.Bicategories.Core.BicategoryLaws. Require Import UniMath.Bicategories.Core.EquivToAdjequiv. Require Import UniMath.Bicategories.Core.Univalence. Require Import UniMath.Bicategories.DisplayedBicats.Examples.Slice. Require Import UniMath.Bicategories.Morphisms.Adjunctions. Require Import UniMath.Bicategories.Morphisms.FullyFaithful. Require Import UniMath.Bicategories.Morphisms.DiscreteMorphisms. Require Import UniMath.Bicategories.Morphisms.Eso. Section FromMorphismInSlice. Section FromFullyFaithfulSlice. End FromFullyFaithfulSlice. End FromMorphismInSlice.