Proposition lax_extension_enriched_rel_conjoint {V : quantale_cosmos} {F : SET ⟶ SET} (L : lax_extension V F) {X Y : hSet} (f : X → Y) : (#F f)^o ≤e L _ _ (f^o). Proof. exact (pr2 (pr222 L) X Y f). Defined.
Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Prelude. Require Import UniMath.CategoryTheory.Categories.HSET.All. Require Import UniMath.CategoryTheory.EnrichedCats.BenabouCosmos. Require Import UniMath.CategoryTheory.EnrichedCats.EnrichedRelation. Require Import UniMath.CategoryTheory.Monoidal.Categories. Require Import UniMath.CategoryTheory.Monoidal.Structure.Symmetric. Require Import UniMath.CategoryTheory.Monoidal.Structure.Closed. Require Import UniMath.CategoryTheory.Limits.Coproducts. Import MonoidalNotations.