Set Difference as Symmetric Difference with Intersection

Theorem

 * $$S \setminus T = S * \left({S \cap T}\right)$$

where:
 * $$S \setminus T$$ denotes set difference;
 * $$S * T$$ denotes set symmetric difference;
 * $$S \cap T$$ denotes set intersection.

Proof
$$ $$ $$