fact: Definition EOgt {X : EffectivelyOrderedSet} : StrongOrder (pr1 X) := StrongOrder_reverse (@EOlt X).
imports: UniMath.Foundations.Sets UniMath.MoreFoundations.QuotientSet UniMath.MoreFoundations.Tactics UniMath.MoreFoundations.Sets UniMath.MoreFoundations.Orders UniMath.Algebra.BinaryOperations UniMath.Algebra.Apartness UniMath.OrderTheory.Lattice.Lattice