Prove or disprove the statement: There exists a set T such that for all sets S, (S ⋂ T = ∅) I need help proving or disproving this statement.
For the negation of the statement I got:
For every set T, there exists a set S, where (S ⋂ T ≠ ∅). Is this negation correct?
Can someone please help me prove or disprove this statement? I'm really confused.

HINT: Your negation is correct. And what does it tell you when you take $T=\varnothing$?
