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I'm trying to figure out proving the following:

if X oplus Y = Y oplus X then X = Y

In order to prove it, I need to use the symmetric difference associativity & other characteristics and identities.

Can you please give me a direction?

Please explain the answer as a teacher would, as my skills of proving this kind of arguments are poor.

Thanks! Pingi.

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# Symmetric Difference if/then Proof

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