A = B ⇔ ( ∀ x ) [ x ∈ A ⇔ x ∈ B ] {\displaystyle A=B\Leftrightarrow (\forall x)[x\in A\Leftrightarrow x\in B]}
![{\displaystyle A=B\Leftrightarrow (\forall x)[x\in A\Leftrightarrow x\in B]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/454805177afaf35c0bc855126913b6031d6fb2e9)