Implications

We have the following indirect implication of form equivalence classes:

388 \(\Rightarrow\) 106
given by the following sequence of implications, with a reference to its direct proof:

Implication Reference
388 \(\Rightarrow\) 106

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

Howard-Rubin Number Statement
388:

Every infinite branching poset (a partially ordered set in which each element has at least two lower bounds) has either an infinite chain or an infinite antichain.

106:

Baire Category Theorem for Compact Hausdorff Spaces: Every compact Hausdorff space is Baire.

Comment:

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