Journal of Formalized Mathematics
Volume 5, 1993
University of Bialystok
Copyright (c) 1993 Association of Mizar Users

## Properties of the Intervals of Real Numbers

Jozef Bialas
Lodz University

### Summary.

The paper contains definitions and basic properties of the intervals of real numbers.\par The article includes the text being a continuation of the paper [4]. Some theorems concerning basic properties of intervals are proved.

#### MML Identifier: MEASURE5

The terminology and notation used in this paper have been introduced in the following articles [5] [6] [1] [2] [3]

Contents (PDF format)

#### 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. Properties of Caratheodor's measure. Journal of Formalized Mathematics, 4, 1992.
[5] Andrzej Trybulec. Tarski Grothendieck set theory. Journal of Formalized Mathematics, Axiomatics, 1989.
[6] Zinaida Trybulec. Properties of subsets. Journal of Formalized Mathematics, 1, 1989.