proposition: Proposition is_nat_trans_enriched_eso_ff_lift_2cell_nat_trans : is_nat_trans L₁ L₂ iscontr_enriched_eso_ff_lift_2cell_el.
proof: Proof. intros x y f ; cbn. use (invmaponpathsweq (make_weq _ (G_fully_faithful _ _))) ; cbn. rewrite !functor_comp. rewrite !iscontr_enriched_eso_ff_lift_2cell_eq. apply (nat_trans_ax τ₂). Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Prelude UniMath.CategoryTheory.Subcategory.Core UniMath.CategoryTheory.Subcategory.Full UniMath.CategoryTheory.Monoidal.Categories UniMath.CategoryTheory.EnrichedCats.Enrichment UniMath.CategoryTheory.EnrichedCats.EnrichmentFunctor UniMath.CategoryTheory.EnrichedCats.EnrichmentTransformation UniMath.CategoryTheory.EnrichedCats.Examples.ImageEnriched UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.Invertible_2cells UniMath.Bicategories.Morphisms.Adjunctions UniMath.Bicategories.DisplayedBicats.Examples.EnrichedCats UniMath.Bicategories.OrthogonalFactorization.Orthogonality UniMath.Bicategories.OrthogonalFactorization.FactorizationSystem