Axiom Of Choice

We have the following indirect implication of form equivalence classes:

26 \(\Rightarrow\) 26 given by the following sequence of implications, with a reference to its direct proof:

Implication	Reference
26 \(\Rightarrow\) 26	Le¸cons sur la th´eorie des fonctions, Borel, [1898]

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

Howard-Rubin Number	Statement
26:	\(UT(\aleph_{0},2^{\aleph_{0}},2^{\aleph_{0}})\): The union of denumerably many sets each of power \(2^{\aleph _{0}}\) has power \(2^{\aleph_{0}}\).
26:	\(UT(\aleph_{0},2^{\aleph_{0}},2^{\aleph_{0}})\): The union of denumerably many sets each of power \(2^{\aleph _{0}}\) has power \(2^{\aleph_{0}}\).

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