Statement:

\(Z(\omega)\): For every family \(A\) of infinite sets, there is a function \(f\) such that for all \(y\in A\), \(f(y)\) is a non-empty subset of \(y\) and \(|f(y)|=\aleph_{0}\).

Howard_Rubin_Number: 214

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:
Pincus-1977a: Adding dependent choice

Book references

Note connections:

The following forms are listed as conclusions of this form class in rfb1: 30, 99, 76, 3, 9, 15, 32, 49, 46-K, 47-n, 45-n, 91, 118, 152, 330, 344, 350, 357,

Back