A = B ⇔ (∀x.x ∈ A ⇔ x ∈ B)
What does "∀x.x" mean? This expression means: saying 2 sets are equal, is equivalent to saying they're the same set, right? Thank you.
2026-04-06 07:34:55.1775460895
What does the dot symbol mean?
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It is a separator between $\forall x$ and the formula $x\in A\iff x\in B$. It means that the context of $x$ is fixed to be that of the quantified value throughout the rest of the formula.