Nonempty
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Mainly to document my use of "nonempty in"
Grade: E
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Low priority, the "nonempty in" bit could even be my own term.... doesn't matter much
Definition
A set, [ilmath]A[/ilmath] is nonempty if:
 [ilmath]A\ne[/ilmath] [ilmath]\emptyset[/ilmath]  why am I even bothering to write this?
Nonempty in
Suppose [ilmath]A[/ilmath] and [ilmath]B[/ilmath] are sets. We say "[ilmath]A[/ilmath] is nonempty in [ilmath]B[/ilmath]" if:
 [ilmath]A\cap B\ne\emptyset[/ilmath]  literally, the part of [ilmath]A[/ilmath] that is in [ilmath]B[/ilmath] also is nonempty (see "disjoint in" also, "empty in" too)
References
