Every set in the Dynkin system generated by is also in the sigma-algebra generated by

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Suppose that [ilmath]\mathcal{A} [/ilmath] is a [ilmath]\sigma[/ilmath]-algebra [ilmath]\implies\mathcal{A} [/ilmath] is is both a Dynkin system and a [ilmath]p[/ilmath]-system

Proof that it is a [ilmath]d[/ilmath]-system:
  • TODO
Proof that it is a [ilmath]p[/ilmath]-system:
  • TODO