Journal of Formalized Mathematics
Volume 12, 2000
University of Bialystok
Copyright (c) 2000 Association of Mizar Users

## Definitions and Basic Properties of Measurable Functions

Noboru Endou
Shinshu University, Nagano
Katsumi Wasaki
Shinshu University, Nagano
Yasunari Shidama
Shinshu University, Nagano

### Summary.

In this article we introduce some definitions concerning measurable functions and prove related properties.

#### MML Identifier: MESFUNC1

The terminology and notation used in this paper have been introduced in the following articles [18] [13] [21] [3] [19] [10] [16] [22] [11] [2] [20] [17] [14] [1] [4] [5] [6] [7] [8] [9] [12] [15]

#### Contents (PDF format)

1. Cardinal Numbers of ${\Bbb Z}$ and ${\Bbb Q}$
2. Basic Operations of Extended Real Valued Functions
3. Level Sets
4. Measurable Functions

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