Lemma TOSubset_plus_point_incl {X:hSet} (S:TOSubset X) (z:X) (nSz : ¬ S z) : S ⊆ TOSubset_plus_point S z nSz. Proof. apply subtype_plus_incl. Defined.
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.