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## Homework Statement

The problem is to prove that there is only one empty set.

Let A and B be empty sets,

A is a subset of B and B is a subset of A (by the definition that the empty set is a subset of every set)

So A=B (by definition)

By convention, all empty sets are equal. Therefore, there is only one empty set.I'm fine with everything except the last line. I don't know if its my wording but something just doesn't feel right about it.