Statement:

(For \(n\in\omega\), \(n\ge 2\).)  For every infinite set \(X\), there is an infinite \(Y \subseteq X\) such that the set of all \(n\)-element subsets of \(Y\) has a choice function.

Howard_Rubin_Number: 336-n

Parameter(s): This form depends on the following parameter(s): \(n\),

This form's transferability is: Transferable

This form's negation transferability is: Negation Transferable

Article Citations:

Book references

Note connections:
Note 111

Relationships between the forms Form 336(\(n\)) and Form 342(\(n\))


The following forms are listed as conclusions of this form class in rfb1: 64,

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