Journal of Formalized Mathematics
Volume 12, 2000
University of Bialystok
Copyright (c) 2000
Association of Mizar Users
Dynkin's Lemma in Measure Theory

Franz Merkl

University of Bielefeld
Summary.

This article formalizes the proof of Dynkin's lemma in
measure theory. Dynkin's lemma is a useful tool in measure theory
and probability theory: it helps frequently to generalize a
statement about all elements of a intersectionstable
set system to all elements of the sigmafield generated by that system.
MML Identifier:
DYNKIN
The terminology and notation used in this paper have been
introduced in the following articles
[11]
[3]
[13]
[5]
[12]
[9]
[14]
[1]
[2]
[4]
[10]
[6]
[7]
[8]

Preliminaries

Disjointvalued Functions and Intersection

Dynkin Systems: Definition and Closure Properties

Main Steps for Dynkin's Lemma
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Received November 27, 2000
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