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)).
Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.MoreFoundations.Sets. Require Import UniMath.MoreFoundations.Orders. Require Import UniMath.Algebra.BinaryOperations