Journal of Formalized Mathematics
Volume 2, 1990
University of Bialystok
Copyright (c) 1990
Association of Mizar Users
The Divisibility of Integers and Integer Relatively Primes
-
Rafal Kwiatek
-
Warsaw University, Bialystok
-
Grzegorz Zwara
-
Nicolaus Copernicus University, Torun
Summary.
-
We introduce the following notions:
1) the least common multiple of two integers
($\mathop{\rm lcm}(i,j)$),
2) the greatest common divisor of two integers
($\mathop{\rm gcd}(i,j)$),
3) the relative prime integer numbers,
4) the prime numbers.
A few facts concerning the
above items, among them a so-called Fundamental Theorem
of Arithmetic, are introduced.
Supported by RPBP.III-24.B5.
MML Identifier:
INT_2
The terminology and notation used in this paper have been
introduced in the following articles
[6]
[3]
[2]
[4]
[1]
[5]
Contents (PDF format)
Bibliography
- [1]
Grzegorz Bancerek.
The fundamental properties of natural numbers.
Journal of Formalized Mathematics,
1, 1989.
- [2]
Krzysztof Hryniewiecki.
Basic properties of real numbers.
Journal of Formalized Mathematics,
1, 1989.
- [3]
Andrzej Trybulec.
Subsets of real numbers.
Journal of Formalized Mathematics,
Addenda, 2003.
- [4]
Michal J. Trybulec.
Integers.
Journal of Formalized Mathematics,
2, 1990.
- [5]
Wojciech A. Trybulec.
Groups.
Journal of Formalized Mathematics,
2, 1990.
- [6]
Zinaida Trybulec.
Properties of subsets.
Journal of Formalized Mathematics,
1, 1989.
Received July 10, 1990
[
Download a postscript version,
MML identifier index,
Mizar home page]