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We have the following indirect implication of form equivalence classes:

8 \(\Rightarrow\) 340 given by the following sequence of implications, with a reference to its direct proof:

Implication	Reference
8 \(\Rightarrow\) 340	clear

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

Howard-Rubin Number	Statement
8:	\(C(\aleph_{0},\infty)\):
340:	Every Lindelöf metric space is separable.

Comment: