"Not empty" set in one word?


Is there a single word which means "not empty"? That is, a word which one might use to describe a field with one or more cows in it, as opposed to an "empty" field with none?


Full or even partially-full are not appropriate, because the number of animals is indeterminate, and the final count could be a single bull [which are best kept on their own] or fifty cows. Or three sheep. And the field is really only full when there is no more space available.


I'd prefer a single word, to go with the single word "Empty". Currently I'm using "has animals" which I feel is not particularly succinct.


[This is an edit of the original question reproduced below, in an effort to keep it on-topic]



I'm trying to figure out the names for different states of a set of items, empty or non-empty.
What I came up with so far:


EmptyAndFetching,
EmptyAndReady,
HasItemsAndFetching,
HasItemsAndReady,
Error

HasItems seems awkward, I would rather use one word than two.
How do you call a set that is not empty, i.e. has at least one item, in a common language?



Answer



Mathematicians always use the word nonempty. Maybe you will like it, too.



(of a set or class) not empty; having at least one element or member



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