Implications

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We have the following indirect implication of form equivalence classes:

89 \(\Rightarrow\) 89 given by the following sequence of implications, with a reference to its direct proof:

Implication	Reference
89 \(\Rightarrow\) 89	Uber das Auswahlaxiom, Kurepa, D. 1953, Math. Ann. The Axiom of Choice, Jech, 1973b, page 133

Here are the links and statements of the form equivalence classes referenced above:

Howard-Rubin Number	Statement
89:	Antichain Principle:  Every partially ordered set has a maximal antichain. Jech [1973b], p 133.
89:	Antichain Principle:  Every partially ordered set has a maximal antichain. Jech [1973b], p 133.

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