Statement:

If \(K\) is a finite subset of \(\omega-\{0,1\}\), \(C(\infty,K)\): For every \(n\in K\), every set of \(n\)-element sets has a choice function.

Howard_Rubin_Number: 46-K

Parameter(s): This form depends on the following parameter(s): \(K\), \(K\): finite set of natural numbers

This form's transferability is: Transferable

This form's negation transferability is: Negation Transferable

Article Citations:
Mostowski-1945: Axiom of choice for finite sets
Truss-1973a: Finite axioms of choice

Book references

Note connections:

The following forms are listed as conclusions of this form class in rfb1: 48-K, 46-K, 47-n, 45-n, 285, 344, 120-K,

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