Definition poset_category_weq_poset_left (C : poset_category) : poset_to_poset_category (poset_category_to_poset C) = C.
Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.CategoryEquality.