[04P]Prerequisites:[04J],[01P].Difficulty:*.(Proposed on 2022-12) Let \(X\) an infinite set. Show that \(X\) can be partitioned in two sets \(X_ 1,X_ 2\) that have the same cardinality as \(X\). (Hint. consider subsets of \(X\) on which the property is valid, use Zorn)
