We have the following indirect implication of form equivalence classes:

340 \(\Rightarrow\) 341
given by the following sequence of implications, with a reference to its direct proof:

Implication Reference
340 \(\Rightarrow\) 341 clear

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

Howard-Rubin Number Statement
340:

Every Lindelöf metric space is separable.

341:

Every Lindelöf metric space is second countable.

Comment:

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