fact: Definition isCompleteSpace (X : PreorderedSet) := ∏ E : hsubtype X, hexists (isUpperBound E) -> hexists E -> LeastUpperBound E.
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