We have the following indirect implication of form equivalence classes:

100 \(\Rightarrow\) 0
given by the following sequence of implications, with a reference to its direct proof:

Implication Reference
100 \(\Rightarrow\) 0

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

Howard-Rubin Number Statement
100:

Weak Partition Principle:  For all sets \(x\) and \(y\), if \(x\precsim^* y\), then it is not the case that \(y\prec x\).

0:  \(0 = 0\).

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