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Izhaki
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Seeing that is your choice for an empty value, for non-empty one you can just prepend it with the negation symbol: ¬∅, or !∅.

As far as UX goes, this will only be instantly clear to people who are familiar with logic symbols (or most developers in the case of !). Luckily, as each dropdown item has text to elucidate what each symbol means, and as it may be fair to assume that most users will be familiar with most other symbols, having a few cryptic symbols is not such a big deal - users will be aware of the contextual help served by the dropdown.

Given that, you may just as well make up something slightly more memorable, like for empty, and for non-empty. It may not be based on logic notation, but will work all the same.

Izhaki
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