fact: Definition EOlt {X : EffectivelyOrderedSet} : StrongOrder (pr1 X) := let R := pr2 X in make_StrongOrder (pr1 (pr2 R)) (pr2 (pr1 (pr2 (pr2 R)))).
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