We have the following indirect implication of form equivalence classes:

300 \(\Rightarrow\) 300
given by the following sequence of implications, with a reference to its direct proof:

Implication Reference
300 \(\Rightarrow\) 300

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

Howard-Rubin Number Statement
300:

Any continuous surjection between extremally disconnected compact Hausdorff spaces has an irreducible restriction to a closed subset of its domain.

300:

Any continuous surjection between extremally disconnected compact Hausdorff spaces has an irreducible restriction to a closed subset of its domain.

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