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.III24.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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