Definition poset_category_weq_poset : poset_category ≃ Poset. Proof. use weq_iso. - exact poset_category_to_poset. - exact poset_to_poset_category. - exact poset_category_weq_poset_left. - exact poset_category_weq_poset_right. Defined.
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.