Measurement and Continuous Hierarchy

Since measurement is an essential component of continuous hierarchy, let us consider two measurements made at exactly the same time at a set. By the uncertainty principle, observation affects the measurements. So only one observer is different than two observers. The question is, will the two observers achieve the same measurement? We have set A, observer o1, and observer o2. They observe at time t. Thus:

A(o1, t) - A(o2, t) = {}(o1 - o2, t) Thus the effect of time is negligible (but it might affect the empty set), but the effects of the differences between the observers implies that we don't get the empty set. If o1 = o2, then we get the empty set.