Van den Berg–Kesten inequality

The Van den Berg–Kesten inequality is a result in the field of probability theory, particularly in the study of dependent random variables. It provides a way to compare the probabilities of certain events that are dependent on each other under specific conditions. In a more formal context, the inequality deals with events in a finite set, where these events are allowed to be dependent, and it provides a bound on the probability of the union of these events.