Definition isGreatestLowerBound (E : hsubtype X) (glb : X) : UU := (isLowerBound E glb) × (isBiggerThanLowerBounds E glb).
Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.MoreFoundations.Sets. Require Import UniMath.MoreFoundations.Orders. Require Import UniMath.Algebra.BinaryOperations