ThmDex – An index of mathematical definitions, results, and conjectures.
Difference of set and binary union equals intersection of differences
Formulation 0
Let $X, A, B$ each be a D11: Set.
Then \begin{equation} X \setminus (A \cup B) = (X \setminus A) \cap (X \setminus B) \end{equation}
Proofs
Proof 0
Let $X, A, B$ each be a D11: Set.