Implications

We have the following indirect implication of form equivalence classes:

126 \(\Rightarrow\) 350
given by the following sequence of implications, with a reference to its direct proof:

Implication Reference
126 \(\Rightarrow\) 350 clear

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

Howard-Rubin Number Statement
126:

\(MC(\aleph_0,\infty)\), Countable axiom of multiple choice: For every denumerable set \(X\) of non-empty sets there is a function \(f\) such that for all \(y\in X\), \(f(y)\) is a non-empty finite subset of \(y\).

350:

\(MC(\aleph_0,\aleph_0)\): For every denumerable set \(X\) of non-empty denumerable sets there is a function \(f\) such that for all \(x\in X\), \(f(x)\) is a finite, non-empty subset of \(x\).

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