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We have the following indirect implication of form equivalence classes:

48-K \(\Rightarrow\) 48-K given by the following sequence of implications, with a reference to its direct proof:

Implication	Reference
48-K \(\Rightarrow\) 48-K	Finite axioms of choice, Truss, J. K. 1973a, Ann. Math. Logic Axiom of choice for finite sets, Mostowski, A. 1945, Fund. Math.

Here are the links and statements of the form equivalence classes referenced above:

Howard-Rubin Number	Statement
48-K:	If \(K\) is a finite subset of \(\omega-\{0,1\}\), \(C(WO,K)\): For every \(n\in K,\) \(C(WO,n)\).
48-K:	If \(K\) is a finite subset of \(\omega-\{0,1\}\), \(C(WO,K)\): For every \(n\in K,\) \(C(WO,n)\).

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