Definition FiniteStructure (X:OrderedSet) := ∑ n, ⟦ n ⟧ %foset ≅ X.
Require Import UniMath.Combinatorics.FiniteSets. Require Import UniMath.Foundations.UnivalenceAxiom. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.MoreFoundations.DecidablePropositions. Require Import UniMath.OrderTheory.Posets.Examples.StandardFiniteSet.