Statement:
For all infinite cardinals \(m\), \(m\) adj \(2^{m}\) implies \(m\) is an aleph.
Note that
\(m\) adj \(n\) iff \(m < n\) and
\(\neg (\exists p) (m < p < n).\)
Mathias [1979] prob 1337, thm 1338 and prob 1339.
Howard_Rubin_Number: 54
Parameter(s): This form does not depend on parameters
This form's transferability is: Unknown
This form's negation transferability is: Negation Transferable
Article Citations:
Mathias-1979: A survey of recent results in set theory
Book references
Note connections: