Definition is_interlaced {X : hSet} (b : prebilattice X) : UU := interlacing (consensus b) (tle b) × interlacing (gullibility b) (tle b) × interlacing (meet b) (kle b) × interlacing (join b) (kle b).
Require Import UniMath.OrderTheory.Prebilattice.Prebilattice. Require Import UniMath.OrderTheory.Lattice.Lattice. Require Import UniMath.Foundations.Sets. Require Import UniMath.MoreFoundations.Subtypes. Require Import UniMath.Algebra.BinaryOperations.