## What is a corresponding set to a multiset?

I came across the following phrase in a paper I was reading:

Every element in [a multiset's] corresponding set can be stated

What is a corresponding set to a multiset? I'm not familiar with the term.

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The underlying set; the set of elements that appear with positive multiplicity. (What else could it possibly be?) – JBL Jun 11 2010 at 19:24