Implications

We have the following indirect implication of form equivalence classes:

116 \(\Rightarrow\) 116
given by the following sequence of implications, with a reference to its direct proof:

Implication Reference
116 \(\Rightarrow\) 116 Products of compact spaces in the least permutation model, Brunner, N. 1985a, Z. Math. Logik Grundlagen Math.

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

Howard-Rubin Number Statement
116:

Every compact \(T_2\) space is weakly  Loeb. Weakly Loeb means the set of non-empty closed subsets has a multiple choice function.

116:

Every compact \(T_2\) space is weakly  Loeb. Weakly Loeb means the set of non-empty closed subsets has a multiple choice function.

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