Implications

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We have the following indirect implication of form equivalence classes:

64 \(\Rightarrow\) 127 given by the following sequence of implications, with a reference to its direct proof:

Implication	Reference
64 \(\Rightarrow\) 127	Amorphe Potenzen kompakter Raume, Brunner, N. 1984b, Arch. Math. Logik Grundlagenforschung

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

Howard-Rubin Number	Statement
64:	\(E(I,Ia)\) There are no amorphous sets. (Equivalently, every infinite set is the union of two disjoint infinite sets.)
127:	An amorphous power of a compact \(T_2\) space, which as a set is well orderable, is well orderable.

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