We have the following indirect implication of form equivalence classes:

381 \(\Rightarrow\) 382
given by the following sequence of implications, with a reference to its direct proof:

Implication Reference
381 \(\Rightarrow\) 382 clear

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

Howard-Rubin Number Statement
381:

DUM:  The disjoint union of metrizable spaces is metrizable.

382:

DUMN:  The disjoint union of metrizable spaces is normal.

Comment:

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