Definition to_iso_enriched_relation_twosided_disp_cat {X Y : hSet} (R₁ R₂ : enriched_relation_twosided_disp_cat X Y) (f₁ : ∏ (x : X) (y : Y), R₁ x y --> R₂ x y) (f₂ : ∏ (x : X) (y : Y), R₂ x y --> R₁ x y) : iso_twosided_disp (identity_z_iso _) (identity_z_iso _) R₁ R₂. Proof. refine (f₁ ,, f₂ ,, _ ,, _) ; apply isaprop_enriched_relation_square. Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Prelude. Require Import UniMath.CategoryTheory.Core.PosetCat. Require Import UniMath.CategoryTheory.Categories.HSET.Core. 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.TwoSidedDisplayedCats.TwoSidedDispCat. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Isos. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Univalence. Import MonoidalNotations.