Implications

We have the following indirect implication of form equivalence classes:

55 \(\Rightarrow\) 55
given by the following sequence of implications, with a reference to its direct proof:

Implication Reference
55 \(\Rightarrow\) 55 A survey of recent results in set theory, Mathias, A.R.D. 1979, Period. Math. Hungar.

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

Howard-Rubin Number Statement
55:

For all infinite cardinals \(m\) and \(n\), if \(m\cdot n = m + n\) then, \(m \le  n\) or \(n \le m\).
Mathias [1979], p 125.

55:

For all infinite cardinals \(m\) and \(n\), if \(m\cdot n = m + n\) then, \(m \le  n\) or \(n \le m\).
Mathias [1979], p 125.

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