ThmDex – An index of mathematical definitions, results, and conjectures.
Result R1743 on D17: Finite set
Intersection of finite sets is finite
Formulation 0
Let $E_j$ be a D17: Finite set for each $j \in J$ such that
(i) $\bigcap_{j \in J} E_j$ is the D76: Set intersection of $\{ E_j \}_{j \in J}$
Then $\bigcap_{j \in J} E_j$ is a D17: Finite set.