For any set A, prove that A⊆ϕ ⇔ A =ϕ
Let A ⊆ ϕ
A is a subset of the null set , then A is also an empty set.
⇒ A =ϕ
Now, let A =ϕ
⇒ A is an empty set.
Since, every set is a subset of itself.
⇒ A ⊆ ϕ
Hence, for any set A, A⊆ϕ ⇔ A =ϕ