Definition enriched_eso_ff_lift_1cell : orthogonal_essentially_surjective F G. Proof. intros Φ₁ Φ₂ τ. simple refine (_ ,, _ ,, _ ,, _). - exact (enriched_eso_ff_lift_enriched_functor Φ₁ Φ₂ τ). - exact (enriched_eso_ff_lift_comm1_inv2cell Φ₁ Φ₂ τ). - exact (enriched_eso_ff_lift_comm2_inv2cell Φ₁ Φ₂ τ). - exact (enriched_eso_ff_lift_comm_eq Φ₁ Φ₂ τ). Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Prelude. Require Import UniMath.CategoryTheory.Subcategory.Core. Require Import UniMath.CategoryTheory.Subcategory.Full. Require Import UniMath.CategoryTheory.Monoidal.Categories. Require Import UniMath.CategoryTheory.EnrichedCats.Enrichment. Require Import UniMath.CategoryTheory.EnrichedCats.EnrichmentFunctor. Require Import UniMath.CategoryTheory.EnrichedCats.EnrichmentTransformation. Require Import UniMath.CategoryTheory.EnrichedCats.Examples.ImageEnriched. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.Invertible_2cells. Require Import UniMath.Bicategories.Morphisms.Adjunctions. Require Import UniMath.Bicategories.DisplayedBicats.Examples.EnrichedCats. Require Import UniMath.Bicategories.OrthogonalFactorization.Orthogonality. Require Import UniMath.Bicategories.OrthogonalFactorization.FactorizationSystem.