∃X∈U,∃Y∈U,(|X|=5,|Y|=5∃X∈U,∃Y∈U,(|X|=5,|Y|=5 and X∩Y=ϕ)
this is also true as
∃X∃Y is true if we even came up with a single example
say X={{1},{2},{3},{4},{5}}
Y={{1,2}{1,3}{1,4}{1,5}{1,6}}
|X|=5
|Y|=5
X∩Y=ϕ
here U is a powerset not a subset
∃X∈U,∃Y∈U
best answer needs correction
correct me if i am wrong