We have the following indirect implication of form equivalence classes:

142 \(\Rightarrow\) 280
given by the following sequence of implications, with a reference to its direct proof:

Implication Reference
142 \(\Rightarrow\) 280 clear

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

Howard-Rubin Number Statement
142:

\(\neg  PB\):  There is a set of reals without the property of Baire.  Jech [1973b], p. 7.

280:

There is a complete separable metric space with a subset which does not have the Baire property.

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