Journal of Formalized Mathematics
Volume 5, 1993
University of Bialystok
Copyright (c) 1993
Association of Mizar Users
Functions and Finite Sequences of Real Numbers
-
Jaroslaw Kotowicz
-
Warsaw University, Bialystok
Summary.
-
We define notions of fiberwise equipotent
functions, non-increasing finite sequences of real numbers and
new operations on finite sequences.
Equivalent conditions for fiberwise equivalent
functions and basic facts about new constructions are shown.
MML Identifier:
RFINSEQ
The terminology and notation used in this paper have been
introduced in the following articles
[11]
[14]
[12]
[15]
[4]
[5]
[3]
[1]
[9]
[2]
[10]
[13]
[7]
[6]
[8]
Contents (PDF format)
Bibliography
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Cardinal numbers.
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Grzegorz Bancerek.
The fundamental properties of natural numbers.
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Segments of natural numbers and finite sequences.
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- [4]
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Functions and their basic properties.
Journal of Formalized Mathematics,
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- [5]
Czeslaw Bylinski.
Functions from a set to a set.
Journal of Formalized Mathematics,
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- [6]
Czeslaw Bylinski.
The sum and product of finite sequences of real numbers.
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Agata Darmochwal.
Finite sets.
Journal of Formalized Mathematics,
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Agata Darmochwal and Yatsuka Nakamura.
The topological space $\calE^2_\rmT$. Arcs, line segments and special polygonal arcs.
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- [9]
Krzysztof Hryniewiecki.
Basic properties of real numbers.
Journal of Formalized Mathematics,
1, 1989.
- [10]
Jaroslaw Kotowicz.
Real sequences and basic operations on them.
Journal of Formalized Mathematics,
1, 1989.
- [11]
Andrzej Trybulec.
Tarski Grothendieck set theory.
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Axiomatics, 1989.
- [12]
Andrzej Trybulec.
Subsets of real numbers.
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- [13]
Wojciech A. Trybulec.
Pigeon hole principle.
Journal of Formalized Mathematics,
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- [14]
Zinaida Trybulec.
Properties of subsets.
Journal of Formalized Mathematics,
1, 1989.
- [15]
Edmund Woronowicz.
Relations and their basic properties.
Journal of Formalized Mathematics,
1, 1989.
Received March 15, 1993
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