Statement:

\(MC(\infty,LO)\): For every family \(X\) of non-empty sets each of which can be linearly ordered there is a function \(f\) such that for all \(y\in X\), \(f(y)\) is a non-empty finite subset of \(y\).

Howard_Rubin_Number: 112

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

This form's transferability is: Not Transferable

This form's negation transferability is: Negation Transferable

Article Citations:
Howard-Rubin-1977: The axiom of choice and linearly ordered sets

Book references

Note connections:

The following forms are listed as conclusions of this form class in rfb1: 76, 292, 395, 53, 69, 64, 90, 126, 128, 146, 177, 200, 267, 323, 390, 278, 106, 112,

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