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    Symmetric Difference if/then Proof

    Hi mathman, Sorry for being unclear about my question and thanks for directing me! 1. X and Y are sets. 2. 'oplus' is an add symbol in circle - ⊕, used to describe the symmetric difference of the two sets (with the XOR operation). Pingi.
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    Symmetric Difference if/then Proof

    Hi there, 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...
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