Definition poset_enrichment_laws {C : category} (PEC : poset_enrichment_data C) : UU := (∏ (x y z : C) (f₁ f₂ : x --> y) (g : y --> z) (p : PEC x y f₁ f₂), PEC x z (f₁ · g) (f₂ · g)) × (∏ (x y z : C) (f : x --> y) (g₁ g₂ : y --> z) (p : PEC y z g₁ g₂), PEC x z (f · g₁) (f · g₂)).
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.OrderTheory.Posets. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.DisplayedCats.Examples.CategoryOfPosets. Require Import UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors. Require Import UniMath.CategoryTheory.Monoidal.Categories. Require Import UniMath.CategoryTheory.Monoidal.Structure.Cartesian. Require Import UniMath.CategoryTheory.Monoidal.Examples.PosetsMonoidal. Require Import UniMath.CategoryTheory.EnrichedCats.Enrichment. Require Import UniMath.CategoryTheory.EnrichedCats.EnrichmentFunctor. Section FromPosetEnrichment. End FromPosetEnrichment.