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

Basic Properties of Extended Real Numbers


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

Summary.

We introduce product, quotient and absolute value, and we prove some basic properties of extended real numbers.

MML Identifier: EXTREAL1

The terminology and notation used in this paper have been introduced in the following articles [1] [5] [2] [3] [4]

Contents (PDF format)

  1. Preliminaries
  2. Operations of Multiplication, Quotient and Absolute Value on Extended Real Numbers

Bibliography

[1] Grzegorz Bancerek. The ordinal numbers. Journal of Formalized Mathematics, 1, 1989.
[2] Jozef Bialas. Infimum and supremum of the set of real numbers. Measure theory. Journal of Formalized Mathematics, 2, 1990.
[3] Jozef Bialas. Series of positive real numbers. Measure theory. Journal of Formalized Mathematics, 2, 1990.
[4] Jozef Bialas. Some properties of the intervals. Journal of Formalized Mathematics, 6, 1994.
[5] Krzysztof Hryniewiecki. Basic properties of real numbers. Journal of Formalized Mathematics, 1, 1989.

Received September 7, 2000


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