how to prove the following using defined sets A=B⇔A⊆B and B ⊆ A

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If $A=B$

Thus, for all $x\in A\implies x\in B\iff A\subseteq B$ ,Similarly $y\in B \implies y\in A\iff B\subseteq A$

If $A\subseteq B$ and $B\subseteq A$ , thus by definition $A=B$ .

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Question ID: mtid-5-stid-8-sqid-3828-qpid-2527