Journal of Formalized Mathematics
Volume 1, 1989
University of Bialystok
Copyright (c) 1989
Association of Mizar Users
The Fundamental Properties of Natural Numbers
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Grzegorz Bancerek
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Warsaw University, Bialystok
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Supported by RPBP.III-24.C1.
Summary.
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Some fundamental properties of addition, multiplication, order relations,
exact division, the remainder, divisibility, the least common multiple,
the greatest common divisor are presented. A proof of Euclid algorithm is also
given.
MML Identifier:
NAT_1
The terminology and notation used in this paper have been
introduced in the following articles
[4]
[6]
[1]
[2]
[5]
[3]
Contents (PDF format)
Bibliography
- [1]
Grzegorz Bancerek.
The ordinal numbers.
Journal of Formalized Mathematics,
1, 1989.
- [2]
Grzegorz Bancerek.
Sequences of ordinal numbers.
Journal of Formalized Mathematics,
1, 1989.
- [3]
Krzysztof Hryniewiecki.
Basic properties of real numbers.
Journal of Formalized Mathematics,
1, 1989.
- [4]
Andrzej Trybulec.
Tarski Grothendieck set theory.
Journal of Formalized Mathematics,
Axiomatics, 1989.
- [5]
Andrzej Trybulec.
Subsets of real numbers.
Journal of Formalized Mathematics,
Addenda, 2003.
- [6]
Zinaida Trybulec.
Properties of subsets.
Journal of Formalized Mathematics,
1, 1989.
Received January 11, 1989
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