Given that XOR is defined by [itex]((X \wedge \neg Y) \vee (\neg X \wedge Y))[/itex], in order to prove that XOR is commutative is it sufficient to prove that(adsbygoogle = window.adsbygoogle || []).push({});

[itex]((X \wedge \neg Y) \vee (\neg X \wedge Y)) \supset ((Y \wedge \neg X) \vee (\neg Y \wedge X))[/itex]

is a tautology?

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# Logic proof

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