Statement:

\(\forall n\in \omega-\{o,1\}\), \(C(\aleph_0, n)\) : For every \(n\in  \omega - \{0,1\}\), every denumerable set of \(n\) element sets has a choice function.

Howard_Rubin_Number: 423

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

This form's transferability is: Unknown

This form's negation transferability is: Negation Transferable

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Book references

Note connections:

The following forms are listed as conclusions of this form class in rfb1: 374-n, 373-n,

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Complete List of Equivalent Forms

Howard-Rubin Number Statement References
423 A

For all \(n\in\omega-\{0,1\}\), \(UT(\aleph_0,n,\aleph_0)\): For all \(n\in\omega-\{0,1\}\), The union of a denumerable set of pairwise disjoint \(n\)-element sets is denumerable.