Implications

We have the following indirect implication of form equivalence classes:

413 \(\Rightarrow\) 413
given by the following sequence of implications, with a reference to its direct proof:

Implication Reference
413 \(\Rightarrow\) 413

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

Howard-Rubin Number Statement
413:

Every infinite set \(S\) is the union of a set, well-ordered by inclusion, of subsets which are non-equipollent to \(S\).  

413:

Every infinite set \(S\) is the union of a set, well-ordered by inclusion, of subsets which are non-equipollent to \(S\).  

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