Definition TOSubset_plus_point {X:hSet} (S:TOSubset X) (z:X) (nSz : ¬ S z) : TOSubset X := subtype_plus S z,, TOSubset_plus_point_rel S z nSz,, isTotalOrder_TOSubset_plus_point S z nSz.
Require Import UniMath.MoreFoundations.DecidablePropositions. Require Import UniMath.MoreFoundations.Propositions. Require Import UniMath.MoreFoundations.Subtypes. Require Import UniMath.MoreFoundations.Sets. Require Import UniMath.MoreFoundations.AxiomOfChoice. Require Import UniMath.OrderTheory.OrderedSets.OrderedSets.