(adsbygoogle = window.adsbygoogle || []).push({}); I can't think of a counterexample to disprove this set theory "theorem"

Assume F and G are families of sets.

IF [itex]\cup[/itex]F [itex]\bigcap[/itex] [itex]\cup[/itex]G = ∅ (disjoint), THEN F [itex]\bigcap[/itex] G are disjoint as well.

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# I can't think of a counterexample to disprove this set theory theorem

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