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.III24.C8.
Summary.

The theorem on the proper and improper limit
of a composition of real functions at a point, at infinity and
oneside 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 oneside 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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