Journal of Formalized Mathematics
Volume 2, 1990
University of Bialystok
Copyright (c) 1990
Association of Mizar Users
The Limit of a Composition of Real Functions
-
Jaroslaw Kotowicz
-
Warsaw University, Bialystok
-
Supported by RPBP.III-24.C8.
Summary.
-
The theorem on the proper and improper limit
of a composition of real functions at a point, at infinity and
one-side limits at a point are presented.
The terminology and notation used in this paper have been
introduced in the following articles
[9]
[10]
[2]
[3]
[8]
[11]
[1]
[7]
[5]
[6]
[4]
Contents (PDF format)
Bibliography
- [1]
Czeslaw Bylinski.
Partial functions.
Journal of Formalized Mathematics,
1, 1989.
- [2]
Krzysztof Hryniewiecki.
Basic properties of real numbers.
Journal of Formalized Mathematics,
1, 1989.
- [3]
Jaroslaw Kotowicz.
Real sequences and basic operations on them.
Journal of Formalized Mathematics,
1, 1989.
- [4]
Jaroslaw Kotowicz.
The limit of a real function at a point.
Journal of Formalized Mathematics,
2, 1990.
- [5]
Jaroslaw Kotowicz.
The limit of a real function at infinity.
Journal of Formalized Mathematics,
2, 1990.
- [6]
Jaroslaw Kotowicz.
The one-side limits of a real function at a point.
Journal of Formalized Mathematics,
2, 1990.
- [7]
Jaroslaw Kotowicz.
Properties of real functions.
Journal of Formalized Mathematics,
2, 1990.
- [8]
Konrad Raczkowski and Pawel Sadowski.
Topological properties of subsets in real numbers.
Journal of Formalized Mathematics,
2, 1990.
- [9]
Andrzej Trybulec.
Tarski Grothendieck set theory.
Journal of Formalized Mathematics,
Axiomatics, 1989.
- [10]
Andrzej Trybulec.
Subsets of real numbers.
Journal of Formalized Mathematics,
Addenda, 2003.
- [11]
Edmund Woronowicz.
Relations defined on sets.
Journal of Formalized Mathematics,
1, 1989.
Received September 5, 1990
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