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

Grzegorz Bancerek

Warsaw University, Bialystok
Summary.

In the article addition, multiplication and power operation of
cardinals are introduced. Presented are some properties of
equipotence of Cartesian products, basic cardinal arithmetics laws
(transformativity, associativity, distributivity), and some facts
about finite sets.
MML Identifier:
CARD_2
The terminology and notation used in this paper have been
introduced in the following articles
[13]
[12]
[9]
[14]
[7]
[8]
[3]
[4]
[5]
[11]
[2]
[6]
[1]
[10]
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.
Zermelo theorem and axiom of choice.
Journal of Formalized Mathematics,
1, 1989.
 [6]
Grzegorz Bancerek and Krzysztof Hryniewiecki.
Segments of natural numbers and finite sequences.
Journal of Formalized Mathematics,
1, 1989.
 [7]
Czeslaw Bylinski.
Functions and their basic properties.
Journal of Formalized Mathematics,
1, 1989.
 [8]
Czeslaw Bylinski.
Functions from a set to a set.
Journal of Formalized Mathematics,
1, 1989.
 [9]
Czeslaw Bylinski.
Some basic properties of sets.
Journal of Formalized Mathematics,
1, 1989.
 [10]
Agata Darmochwal.
Finite sets.
Journal of Formalized Mathematics,
1, 1989.
 [11]
Krzysztof Hryniewiecki.
Basic properties of real numbers.
Journal of Formalized Mathematics,
1, 1989.
 [12]
Andrzej Trybulec.
Enumerated sets.
Journal of Formalized Mathematics,
1, 1989.
 [13]
Andrzej Trybulec.
Tarski Grothendieck set theory.
Journal of Formalized Mathematics,
Axiomatics, 1989.
 [14]
Edmund Woronowicz.
Relations and their basic properties.
Journal of Formalized Mathematics,
1, 1989.
Received March 6, 1990
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