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/Part 4: Measure Theory and Integration/Chapter 17: Set Systems/Section 17.3: Lambda Systems

Definition 17.3.1 ($\pi$-System).label Let $X$ be a set and $\mathcal{P}\subset 2^{X}$, then $\mathcal{P}$ is a $\pi$-system if:

  1. (P1)

    $\emptyset \in \mathcal{P}$.

  2. (P2)

    For any $A, B \in \mathcal{P}$, $A \cap B \in \mathcal{P}$.

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Jerry's Digital Garden

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