Franklinesque?

Rip Van Winkle
in
Sleepy Hollow

If one of Franklin's proverbs is true, then shouldn't its opposite be untrue? For instance:

"Early to bed and early to rise, makes a man healthy, wealthy, and wise."

Here's the opposite

Later to bed and later to rise, makes one unhealthy, unwealthy, unwise.

Is that true or false? Also, does its truth or falsity depend on the truth or falsity of Franklin's proverb?