We have the following indirect implication of form equivalence classes:

9 \(\Rightarrow\) 296
given by the following sequence of implications, with a reference to its direct proof:

Implication Reference
9 \(\Rightarrow\) 296 clear

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

Howard-Rubin Number Statement
9:

Finite \(\Leftrightarrow\) Dedekind finite: \(W_{\aleph_{0}}\) Jech [1973b]: \(E(I,IV)\) Howard/Yorke [1989]): Every Dedekind finite set is finite.

296:

Part-\(\infty\): Every infinite set is the disjoint union of infinitely many infinite sets.

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