👉 In mathematics, a property P is called precomplete if every non-empty subset of an infinite set S has a least element in S. This means that any two elements x and y in S have a smallest element (or supremum) in S, which can be denoted as x ≤ y. For example, consider the natural numbers N = {1, 2, 3, ...}. The property of precompleteness for N is: - A subset A of N has a
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