Very simple question:
Is $\exists xP(x)\lor\exists xQ(x)$ the same as $\exists xP(x)\lor\exists yQ(y)$?
Thank you.
2026-03-27 16:25:16.1774628716
Is $\exists xP(x)\lor\exists xQ(x)$ the same as $\exists xP(x)\lor\exists yQ(y)$?
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If $x$ and $y$ are in the same domain of discourse, then yes. Otherwise, it remains ambiguous.