Journal of Formalized Mathematics
Volume 14, 2002
University of Bialystok
Copyright (c) 2002
Association of Mizar Users
Half Open Intervals in Real Numbers

Yatsuka Nakamura

Shinshu University, Nagano
Summary.

Left and right half open intervals in the real line are defined.
Their properties are investigated. A class of all finite union of such
intervals are, in a sense, closed by operations of union, intersection
and the difference of sets.
MML Identifier:
RCOMP_2
The terminology and notation used in this paper have been
introduced in the following articles
[3]
[6]
[1]
[4]
[5]
[2]
Contents (PDF format)
Bibliography
 [1]
Grzegorz Bancerek.
The ordinal numbers.
Journal of Formalized Mathematics,
1, 1989.
 [2]
Konrad Raczkowski and Pawel Sadowski.
Topological properties of subsets in real numbers.
Journal of Formalized Mathematics,
2, 1990.
 [3]
Andrzej Trybulec.
Tarski Grothendieck set theory.
Journal of Formalized Mathematics,
Axiomatics, 1989.
 [4]
Andrzej Trybulec.
Subsets of real numbers.
Journal of Formalized Mathematics,
Addenda, 2003.
 [5]
Andrzej Trybulec and Czeslaw Bylinski.
Some properties of real numbers operations: min, max, square, and square root.
Journal of Formalized Mathematics,
1, 1989.
 [6]
Zinaida Trybulec.
Properties of subsets.
Journal of Formalized Mathematics,
1, 1989.
Received February 1, 2002
[
Download a postscript version,
MML identifier index,
Mizar home page]