Of a set, containing at least one element; not the empty set.(adjective)
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Use "non-empty" in a sentence
"If we can equate nothing with the empty set and something with a non-empty set, (not a trivial assumption, given that mathematics extends beyond set theory), then it is significant to note that whilst every set contains the empty set as a subset, the converse certainly isn't true."
"Clearly the intersections of sex with both toothpaste and orange juice should be non-empty."
"The ones who get hosed by the present system are those with no bargaining power and non-empty pockets."