ThmDex – An index of mathematical definitions, results, and conjectures.
Result R4350 on D15: Set cardinality
Finite superadditivity of finite set cardinality
Formulation 0
Let $X_1, \ldots, X_N$ each be a D17: Finite set.
Then \begin{equation} \left| \bigcup_{n = 1}^N X_n \right| \leq \sum_{n = 1}^N |X_n| \end{equation}