Statement:

For all cardinals \(m\) and \(n\), if \(m\le^* n\) and \(\neg (n\le^* m)\) then there is a cardinal \(k \le n\) such that \(m\le^* k\).

Howard_Rubin_Number: 205

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:
Pelc-1978: On some weak forms of the axiom of choice in set theory

Book references

Note connections:
Note 69

[40 B] implies Form 208


The following forms are listed as conclusions of this form class in rfb1: 1,

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