fact: Definition isBiggerThanLowerBounds (E : hsubtype X) (lub : X) : UU := ∏ ub : X, isLowerBound E ub -> lub >= ub.
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