Definition isBiggerThanLowerBounds (E : hsubtype X) (lub : X) : UU := ∏ ub : X, isLowerBound E ub -> lub >= ub.
Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.MoreFoundations.Sets. Require Import UniMath.MoreFoundations.Orders. Require Import UniMath.Algebra.BinaryOperations