Journal of Formalized Mathematics
Volume 1, 1989
University of Bialystok
Copyright (c) 1989
Association of Mizar Users
Some Properties of Real Numbers
Operations: min, max, square, and square root
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Andrzej Trybulec
-
Warsaw University, Bialystok
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Czeslaw Bylinski
-
Warsaw University, Bialystok
Summary.
-
We define the following operations on real numbers:
$max(x,y)$, $min(x,y)$, $x^2$, $\sqrt{x}$.
We prove basic properties of introduced operations.
A number of auxiliary theorems absent in [2] and
[3] is proved.
Supported by RPBP.III-24.C1.
The terminology and notation used in this paper have been
introduced in the following articles
[4]
[6]
[1]
[5]
[3]
Contents (PDF format)
Bibliography
- [1]
Grzegorz Bancerek.
The ordinal numbers.
Journal of Formalized Mathematics,
1, 1989.
- [2]
Krzysztof Hryniewiecki.
Basic properties of real numbers.
Journal of Formalized Mathematics,
1, 1989.
- [3]
Jan Popiolek.
Some properties of functions modul and signum.
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 November 16, 1989
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