Definition isCompleteSpace (X : PreorderedSet) := ∏ E : hsubtype X, hexists (isUpperBound E) -> hexists E -> LeastUpperBound E.
Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.MoreFoundations.Sets. Require Import UniMath.MoreFoundations.Orders. Require Import UniMath.Algebra.BinaryOperations