Transitivity can be applied to relations between objects or sets - not to the sets themselves. For example, the relation "less-than" for real numbers, or the relation "is a subset of" for subsets, are both transitive. So is equality.
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difinition of empty set
It isn't. The empty set is a subset - but not a proper subset - of the empty set.
null
The complement of an empty set is universal set
An 'Empty Set' or a 'Nul Set'.