Dilworth's theorem is a result in order theory, a branch of mathematics that studies the properties of ordered sets. The theorem states that in any finite partially ordered set (poset), the size of the largest antichain (a subset of elements in which no two elements are comparable) is equal to the smallest number of chains (totally ordered subsets) that can cover the poset. In more formal terms: - Let \( P \) be a finite poset.
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