ThmDex – An index of mathematical definitions, results, and conjectures.

Result R4170 on D70: Set difference

Difference of set and binary intersection equals union of differences

Formulation 0

Let $X, A, B$ each be a D11: Set.

Then \begin{equation} X \setminus (A \cap B) = (X \setminus A) \cup (X \setminus B) \end{equation}