I need to verify this identity:(adsbygoogle = window.adsbygoogle || []).push({});

(A\B)[itex]\Delta[/itex]C = (A[itex]\Delta[/itex]C)[itex]\Delta[/itex](A[itex]\bigcap[/itex]B)

(with delta standing for the symmetric difference, I don't know the proper latex code)

I've tried it "brute force" several times, working out each side and simplifying it until the sides are equal (it's likely that I'm messing up a negation somewhere) and I've found this method rather cumbersome. Is there any simpler way to solve this?

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# Verifying an identity

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