Results Concerning Set Difference with Intersection

Theorem
Let:
 * $$S \setminus T$$ denote set difference;
 * $$S \cap T$$ denote set intersection.

Also see

 * De Morgan's Laws (Set Theory), in which:


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

shows that set difference is not left distributive over set intersection.