Journal of Formalized Mathematics
Volume 1, 1989
University of Bialystok
Copyright (c) 1989
Association of Mizar Users
Convergent Sequences and the Limit of Sequences
-
Jaroslaw Kotowicz
-
Warsaw University, Bialystok
Summary.
-
The article contains definitions and same basic properties
of bounded sequences (above and below), convergent sequences
and the limit of sequences.
In the article there are some properties of real numbers
useful in the other theorems of this article.
MML Identifier:
SEQ_2
The terminology and notation used in this paper have been
introduced in the following articles
[1]
[6]
[3]
[5]
[7]
[2]
[4]
Contents (PDF format)
Bibliography
- [1]
Grzegorz Bancerek.
The ordinal numbers.
Journal of Formalized Mathematics,
1, 1989.
- [2]
Czeslaw Bylinski.
Functions and their basic properties.
Journal of Formalized Mathematics,
1, 1989.
- [3]
Krzysztof Hryniewiecki.
Basic properties of real numbers.
Journal of Formalized Mathematics,
1, 1989.
- [4]
Jaroslaw Kotowicz.
Real sequences and basic operations on them.
Journal of Formalized Mathematics,
1, 1989.
- [5]
Jan Popiolek.
Some properties of functions modul and signum.
Journal of Formalized Mathematics,
1, 1989.
- [6]
Andrzej Trybulec.
Subsets of real numbers.
Journal of Formalized Mathematics,
Addenda, 2003.
- [7]
Edmund Woronowicz.
Relations and their basic properties.
Journal of Formalized Mathematics,
1, 1989.
Received July 4, 1989
[
Download a postscript version,
MML identifier index,
Mizar home page]