Definition lax_extension_rel {V : quantale_cosmos} {F : SET ⟶ SET} (L : lax_extension V F) {X Y : hSet} (R : enriched_relation V X Y) : enriched_relation V (F X) (F Y) := pr1 L X Y R.
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.