Journal of Formalized Mathematics
Volume 2, 1990
University of Bialystok
Copyright (c) 1990
Association of Mizar Users
Real Function Differentiability
-
Konrad Raczkowski
-
Warsaw University, Bialystok
-
Pawel Sadowski
-
Warsaw University, Bialystok
Summary.
-
For a real valued function defined on its domain in real numbers the
differentiability in a single point and on a subset of the domain is
presented. The main elements of differential calculus are developed. The
algebraic properties of differential real functions are shown.
Supported by RPBP.III-24.C8.
MML Identifier:
FDIFF_1
The terminology and notation used in this paper have been
introduced in the following articles
[11]
[13]
[1]
[12]
[3]
[6]
[4]
[5]
[14]
[2]
[7]
[8]
[10]
[9]
Contents (PDF format)
Bibliography
- [1]
Grzegorz Bancerek.
The ordinal numbers.
Journal of Formalized Mathematics,
1, 1989.
- [2]
Czeslaw Bylinski.
Partial functions.
Journal of Formalized Mathematics,
1, 1989.
- [3]
Krzysztof Hryniewiecki.
Basic properties of real numbers.
Journal of Formalized Mathematics,
1, 1989.
- [4]
Jaroslaw Kotowicz.
Convergent sequences and the limit of sequences.
Journal of Formalized Mathematics,
1, 1989.
- [5]
Jaroslaw Kotowicz.
Monotone real sequences. Subsequences.
Journal of Formalized Mathematics,
1, 1989.
- [6]
Jaroslaw Kotowicz.
Real sequences and basic operations on them.
Journal of Formalized Mathematics,
1, 1989.
- [7]
Jaroslaw Kotowicz.
Partial functions from a domain to a domain.
Journal of Formalized Mathematics,
2, 1990.
- [8]
Jaroslaw Kotowicz.
Properties of real functions.
Journal of Formalized Mathematics,
2, 1990.
- [9]
Konrad Raczkowski and Pawel Sadowski.
Real function continuity.
Journal of Formalized Mathematics,
2, 1990.
- [10]
Konrad Raczkowski and Pawel Sadowski.
Topological properties of subsets in real numbers.
Journal of Formalized Mathematics,
2, 1990.
- [11]
Andrzej Trybulec.
Tarski Grothendieck set theory.
Journal of Formalized Mathematics,
Axiomatics, 1989.
- [12]
Andrzej Trybulec.
Subsets of real numbers.
Journal of Formalized Mathematics,
Addenda, 2003.
- [13]
Zinaida Trybulec.
Properties of subsets.
Journal of Formalized Mathematics,
1, 1989.
- [14]
Edmund Woronowicz.
Relations defined on sets.
Journal of Formalized Mathematics,
1, 1989.
Received June 18, 1990
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