Can anybody help me to understand the definition of Disjointness:

    df-disj $a |- ( Disj_ x e. A B <-> A. y E* x e. A y e. B ) $.

? What means x, A, and B  here?

What about my alternative definition as 1-ary predicate:

_disj_ A <-> A. B e. A A. C e. A ( B = C \/ B i^i C = (/) )

? Would it be provable:

$p _disj_ A <-> Disj_ x e. A B $= ? $.

?

Thank you for your help!

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