Proposition lax_extension_enriched_rel_le {V : quantale_cosmos} {F : SET ⟶ SET} (L : lax_extension V F) {X Y : hSet} {R S : enriched_relation V X Y} (p : R ≤e S) : L _ _ R ≤e L _ _ S. Proof. exact (pr12 L X Y R S p). 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.