We have the following indirect implication of form equivalence classes:

405 \(\Rightarrow\) 405
given by the following sequence of implications, with a reference to its direct proof:

Implication Reference
405 \(\Rightarrow\) 405

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

Howard-Rubin Number Statement
405:

Every infinite set can be partitioned into sets each of which is countable and has at least two elements.

405:

Every infinite set can be partitioned into sets each of which is countable and has at least two elements.

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