Journal of Formalized Mathematics
Volume 2, 1990
University of Bialystok
Copyright (c) 1990 Association of Mizar Users

$N$-Tuples and Cartesian Products for $n=5$

Michal Muzalewski
Warsaw University, Bialystok
Wojciech Skaba
Nicolaus Copernicus University, Torun


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)


[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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