Form equivalence class Howard-Rubin Number: 87-alpha

Statement:

\(Z_{\aleph_{\alpha }}\): Let \(P\) be a partially ordered set in which every well ordered chain has type \(< \aleph_{\alpha}\). If every well ordered chain in \(P\) has an upper bound in \(P\), then \(P\) contains a maximal element.

Howard-Rubin number: 87A-alpha

Citations (articles): Wolk [1983] On the principle of dependent choice and some forms of Zorn's Lemma

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