### The Relevance of Measure and Probability, and Definition of Completeness of Probability

Bo Zhang, Hiroshi Yamazaki, Yatsuka Nakamura (2006)

Formalized Mathematics

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In this article, we first discuss the relation between measure defined using extended real numbers and probability defined using real numbers. Further, we define completeness of probability, and its completion method, and also show that they coincide with those of measure.