Statement:

\(MC(\aleph_0,\aleph_0)\): For every denumerable set \(X\) of non-empty denumerable sets there is a function \(f\) such that for all \(x\in X\), \(f(x)\) is a finite, non-empty subset of \(x\).

Howard_Rubin_Number: 350

Parameter(s): This form does not depend on parameters

This form's transferability is: Transferable

This form's negation transferability is: Negation Transferable

Article Citations:
Keremedis-1996b: Some equivalents of \(AC\) in algebra

Book references

Note connections:
Note 132

The following definitions and results for forms [8 M], [8 N], [43 Q], [126 B] through [126 F] are from Keremedis [2000a].


The following forms are listed as conclusions of this form class in rfb1: 171, 18, 98, 154, 198, 216, 358, 314, 342-n, 308-p, 373-n,

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