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We have the following indirect implication of form equivalence classes:

291 \(\Rightarrow\) 291 given by the following sequence of implications, with a reference to its direct proof:

Implication	Reference
291 \(\Rightarrow\) 291

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

Howard-Rubin Number	Statement
291:	For all infinite \(x\), \(|x!|=|x^x|\).
291:	For all infinite \(x\), \(|x!|=|x^x|\).

Comment: