We have the following indirect implication of form equivalence classes:

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

Implication Reference
425 \(\Rightarrow\) 0

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

Howard-Rubin Number Statement
425:  For every first countable topological space \((X, \Cal T)\) there is a family \((\Cal D(x))_{x \in X}\) such that \(\forall x \in X\), \(D(x)\) countable local base at \(x\).  \ac{Gutierres} \cite{2004} and note 159.
0:  \(0 = 0\).

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