Implications

We have the following indirect implication of form equivalence classes:

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

Implication Reference
106 \(\Rightarrow\) 106 On the role of the Baire category theorem and dependent choice in the foundations of logic, Goldblatt, R. 1985, J. Symbolic Logic

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

Howard-Rubin Number Statement
106:

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

106:

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

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