In mathematics, the empty set is the unique set having no elements; its size or cardinality is zero.
Some axiomatic set theories ensure that the empty set exists by including an axiom of empty set, while in other theories, its existence can be deduced.
The word "of" indicates the subject or topic of assurance.
In the phrase "I assure you of my cooperation," the preposition "of" connects the verb "assure" to the noun "cooperation," specifying what is being assured.