Journal of Formalized Mathematics
Volume 4, 1992
University of Bialystok
Copyright (c) 1992
Association of Mizar Users
The de l'Hospital Theorem
-
Malgorzata Korolkiewicz
-
Warsaw University, Bialystok
Summary.
-
List of theorems concerning
the de l'Hospital Theorem. We discuss the case when both
functions have the zero value at a point and when
the quotient of their differentials is convergent at
this point.
The terminology and notation used in this paper have been
introduced in the following articles
[13]
[1]
[14]
[2]
[4]
[3]
[15]
[8]
[12]
[9]
[10]
[11]
[6]
[7]
[5]
Contents (PDF format)
Bibliography
- [1]
Grzegorz Bancerek.
The ordinal numbers.
Journal of Formalized Mathematics,
1, 1989.
- [2]
Krzysztof Hryniewiecki.
Basic properties of real numbers.
Journal of Formalized Mathematics,
1, 1989.
- [3]
Jaroslaw Kotowicz.
Convergent sequences and the limit of sequences.
Journal of Formalized Mathematics,
1, 1989.
- [4]
Jaroslaw Kotowicz.
Real sequences and basic operations on them.
Journal of Formalized Mathematics,
1, 1989.
- [5]
Jaroslaw Kotowicz.
The limit of a real function at a point.
Journal of Formalized Mathematics,
2, 1990.
- [6]
Jaroslaw Kotowicz.
The limit of a real function at infinity.
Journal of Formalized Mathematics,
2, 1990.
- [7]
Jaroslaw Kotowicz.
The one-side limits of a real function at a point.
Journal of Formalized Mathematics,
2, 1990.
- [8]
Jaroslaw Kotowicz.
Partial functions from a domain to the set of real numbers.
Journal of Formalized Mathematics,
2, 1990.
- [9]
Jaroslaw Kotowicz.
Properties of real functions.
Journal of Formalized Mathematics,
2, 1990.
- [10]
Konrad Raczkowski and Pawel Sadowski.
Real function continuity.
Journal of Formalized Mathematics,
2, 1990.
- [11]
Konrad Raczkowski and Pawel Sadowski.
Real function differentiability.
Journal of Formalized Mathematics,
2, 1990.
- [12]
Konrad Raczkowski and Pawel Sadowski.
Topological properties of subsets in real numbers.
Journal of Formalized Mathematics,
2, 1990.
- [13]
Andrzej Trybulec.
Tarski Grothendieck set theory.
Journal of Formalized Mathematics,
Axiomatics, 1989.
- [14]
Andrzej Trybulec.
Subsets of real numbers.
Journal of Formalized Mathematics,
Addenda, 2003.
- [15]
Edmund Woronowicz.
Relations defined on sets.
Journal of Formalized Mathematics,
1, 1989.
Received February 20, 1992
[
Download a postscript version,
MML identifier index,
Mizar home page]