Journal of Formalized Mathematics
Volume 2, 1990
University of Bialystok
Copyright (c) 1990
Association of Mizar Users
$N$-Tuples and Cartesian Products for $n=5$
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Michal Muzalewski
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Warsaw University, Bialystok
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Wojciech Skaba
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Nicolaus Copernicus University, Torun
Summary.
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This article defines ordered $n$-tuples, projections and Cartesian products
for $n=5$. We prove many theorems concerning the basic properties of
the $n$-tuples and Cartesian products that may be utilized in several
further, more challenging applications. A few of these theorems are
a strightforward consequence of the regularity axiom. The article
originated as an upgrade of the article [3].
Supported by RPBP.III-24.C6.
MML Identifier:
MCART_2
The terminology and notation used in this paper have been
introduced in the following articles
[2]
[1]
[4]
[3]
Contents (PDF format)
Bibliography
- [1]
Czeslaw Bylinski.
Some basic properties of sets.
Journal of Formalized Mathematics,
1, 1989.
- [2]
Andrzej Trybulec.
Tarski Grothendieck set theory.
Journal of Formalized Mathematics,
Axiomatics, 1989.
- [3]
Andrzej Trybulec.
Tuples, projections and Cartesian products.
Journal of Formalized Mathematics,
1, 1989.
- [4]
Zinaida Trybulec.
Properties of subsets.
Journal of Formalized Mathematics,
1, 1989.
Received October 13, 1990
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