Journal of Formalized Mathematics

Volume 13, 2001

University of Bialystok

Copyright (c) 2001
Association of Mizar Users

##
Zero-Based Finite Sequences

**
Tetsuya Tsunetou**-
Kyushu University
**
Grzegorz Bancerek**-
Shinshu University, Nagano
**
Yatsuka Nakamura**-
Shinshu University, Nagano

The terminology and notation used in this paper have been
introduced in the following articles
[14]
[10]
[16]
[15]
[17]
[8]
[3]
[4]
[5]
[13]
[2]
[9]
[12]
[1]
[6]
[11]
[7]
Contents (PDF format)

#### Bibliography

- [1]
Grzegorz Bancerek.
Cardinal numbers.
*Journal of Formalized Mathematics*,
1, 1989.
- [2]
Grzegorz Bancerek.
The fundamental properties of natural numbers.
*Journal of Formalized Mathematics*,
1, 1989.
- [3]
Grzegorz Bancerek.
The ordinal numbers.
*Journal of Formalized Mathematics*,
1, 1989.
- [4]
Grzegorz Bancerek.
Sequences of ordinal numbers.
*Journal of Formalized Mathematics*,
1, 1989.
- [5]
Grzegorz Bancerek.
Increasing and continuous ordinal sequences.
*Journal of Formalized Mathematics*,
2, 1990.
- [6]
Grzegorz Bancerek and Krzysztof Hryniewiecki.
Segments of natural numbers and finite sequences.
*Journal of Formalized Mathematics*,
1, 1989.
- [7]
Grzegorz Bancerek and Andrzej Trybulec.
Miscellaneous facts about functions.
*Journal of Formalized Mathematics*,
8, 1996.
- [8]
Czeslaw Bylinski.
Functions and their basic properties.
*Journal of Formalized Mathematics*,
1, 1989.
- [9]
Czeslaw Bylinski.
Partial functions.
*Journal of Formalized Mathematics*,
1, 1989.
- [10]
Czeslaw Bylinski.
Some basic properties of sets.
*Journal of Formalized Mathematics*,
1, 1989.
- [11]
Czeslaw Bylinski.
The modification of a function by a function and the iteration of the composition of a function.
*Journal of Formalized Mathematics*,
2, 1990.
- [12]
Agata Darmochwal.
Finite sets.
*Journal of Formalized Mathematics*,
1, 1989.
- [13]
Krzysztof Hryniewiecki.
Basic properties of real numbers.
*Journal of Formalized Mathematics*,
1, 1989.
- [14]
Andrzej Trybulec.
Tarski Grothendieck set theory.
*Journal of Formalized Mathematics*,
Axiomatics, 1989.
- [15]
Andrzej Trybulec.
Subsets of real numbers.
*Journal of Formalized Mathematics*,
Addenda, 2003.
- [16]
Zinaida Trybulec.
Properties of subsets.
*Journal of Formalized Mathematics*,
1, 1989.
- [17]
Edmund Woronowicz.
Relations and their basic properties.
*Journal of Formalized Mathematics*,
1, 1989.

Received September 28, 2001

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