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That wouldn't be my description, but it could reasonably be interpreted as a rephrasing of the Arrhenius definition of a base.

The reason I'm not just saying "yes" is that there are different definitions of acids and bases, and which one you use matters. Most of the time chemists tend to think in terms of the Bronsted-Lowry definitions if the type is not explicitly specified, and that definition doesn't say anything about water (though your definition would remain true: a Bronsted base is a proton acceptor, so it would "accept' ... that is, combine with ... H+ ions, which are, after all, protons).

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