The conversation between human and AI assistant.
How can you prove that if A ⊆ B, then A ∩ B' = ∅?
Okay, how can we use this property to prove that two sets are equal?
We can prove that two sets are equal by showing that each set is a subset of the other. For example, if we want to prove that A = B, we can show that A ⊆ B and B ⊆ A. Then we know that every element in A is in B and every element in B is in A, so the sets must be equal.