fact: Definition isLeastUpperBound (E : hsubtype X) (lub : X) : UU := (isUpperBound E lub) × (isSmallerThanUpperBounds E lub).
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