Statement:

\(C(WO\), uniformly linearly ordered):  If \(X\) is a well ordered collection of non-empty sets and there is a function \(f\) defined on \(X\) such that for every \(x\in X\), \(f(x)\) is a linear ordering of \(x\), then there is a choice function for \(X\).

Howard_Rubin_Number: 337

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:
Howard-Rubin-Stanley-Keremedis-2000a: Paracompactness of metric spaces and the axiom of choice

Book references

Note connections:

The following forms are listed as conclusions of this form class in rfb1: 171, 10, 9, 18, 53, 46-K, 64, 92, 98, 124, 127, 128, 146, 163, 177, 198, 200, 211, 358, 278, 131, 355, 314, 288-n, 342-n, 308-p, 373-n,

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