proposition: Proposition enriched_eso_ff_lift_2cell_enriched_nat_trans_eq_F : F ◃ enriched_eso_ff_lift_2cell_enriched_nat_trans = τ₁.
proof: Proof. use eq_enriched_nat_trans. intro x ; cbn. refine (!_). use eq_to_iscontr_enriched_eso_ff_lift_2cell_el. pose (from_eq_enriched_nat_trans p x) as q. cbn in q. rewrite id_right, id_left in q. exact q. 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