fact: Definition isConstructiveTotalEffectiveOrder {X : UU} (ap le lt : hrel X) := istightap ap × isEffectiveOrder le lt × (isantisymm le) × (∏ x y : X, ap x y <-> (lt x y) ⨿ (lt y 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