Implications

• Implications Home
• Code 1 Implications
• Code 2 Implications
• Code 3 Implications
• Code 4 Implications
• Code 5 Implications
• Code 6 Implications
• Complete List
• Search

We have the following indirect implication of form equivalence classes:

53 \(\Rightarrow\) 53 given by the following sequence of implications, with a reference to its direct proof:

Implication	Reference
53 \(\Rightarrow\) 53	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
53:	For all infinite cardinals \(m\), \(m^2\le 2^m\).  Mathias [1979], prob 1336.
53:	For all infinite cardinals \(m\), \(m^2\le 2^m\).  Mathias [1979], prob 1336.

Comment: