fact: Definition isEffectiveOrder {X : UU} (le lt : hrel X) := dirprod ((ispreorder le) × (isStrongOrder lt)) ((∏ x y : X, (¬ lt x y) <-> (le y x)) × (∏ x y z : X, lt x y -> le y z -> lt x z) × (∏ x y z : X, le x y -> lt y z -> lt x z)).
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