Implications

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We have the following indirect implication of form equivalence classes:

133 \(\Rightarrow\) 63 given by the following sequence of implications, with a reference to its direct proof:

Implication	Reference
133 \(\Rightarrow\) 63	Dedekind-Endlichkeit und Wohlordenbarkeit, Brunner, N. 1982a, Monatsh. Math.

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

Howard-Rubin Number	Statement
133:	Every set is either well orderable or has an infinite amorphous subset.
63:	\(SPI\): Weak ultrafilter principle: Every infinite set has a non-trivial ultrafilter. Jech [1973b], p 172 prob 8.5.

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