Let be a finite and Measurable Function in , and let be freely chosen. Then there is a function such that

- 1. is continuous in ,
- 2. The Measure of is ,
- 3. ,

**References**

Kestelman, H. §4.4 in *Modern Theories of Integration, 2nd rev. ed.* New York: Dover, pp. 30 and 109-112, 1960.

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1999-05-25