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
[
Download a postscript version,
MML identifier index,
Mizar home page]