Lemma isaprop_Terminal : isaprop (Terminal C). Proof. apply invproofirrelevance. intros T T'. apply (total2_paths_f (isotoid _ H (z_iso_Terminals T T')) ). apply isaprop_isTerminal. Qed.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.FunctorCategory. Require Import UniMath.CategoryTheory.Limits.Products. Require Import UniMath.CategoryTheory.Monics.