$N$-Tuples and Cartesian Products for $n=7$

Michal Muzalewski

Warsaw University, Bialystok

Wojciech Skaba

Nicolaus Copernicus University, Torun

Summary.

This article defines ordered $n$-tuples, projections and Cartesian products for $n=7$. 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 [5].

Supported by RPBP.III-24.C6.

MML Identifier: MCART_4

Contents (PDF format)

Bibliography

[1] Czeslaw Bylinski. Some basic properties of sets. Journal of Formalized Mathematics, 1, 1989.

[2] Michal Muzalewski and Wojciech Skaba. $n$-tuples and Cartesian products for $n=5$. Journal of Formalized Mathematics, 2, 1990.

[3] Michal Muzalewski and Wojciech Skaba. $n$-tuples and Cartesian products for $n=6$. Journal of Formalized Mathematics, 2, 1990.

[4] Andrzej Trybulec. Tarski Grothendieck set theory. Journal of Formalized Mathematics, Axiomatics, 1989.

[5] Andrzej Trybulec. Tuples, projections and Cartesian products. Journal of Formalized Mathematics, 1, 1989.

[6] Zinaida Trybulec. Properties of subsets. Journal of Formalized Mathematics, 1, 1989.