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

## Integrability of Bounded Total Functions

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

### Summary.

All these results have been obtained by Darboux's theorem in our previous article [10]. In addition, we have proved the first mean value theorem to Riemann integral.

#### MML Identifier: INTEGRA4

The terminology and notation used in this paper have been introduced in the following articles [21] [24] [1] [22] [12] [3] [8] [25] [2] [15] [16] [6] [14] [13] [20] [19] [17] [23] [7] [9] [11] [18] [5] [4]

#### Contents (PDF format)

1. Basic Integrable Functions and First Mean Value Theorem
2. Integrability of Bounded Total Functions

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