Journal of Formalized Mathematics
Volume 1, 1989
University of Bialystok
Copyright (c) 1989
Association of Mizar Users
Group and Field Definitions

Jozef Bialas

Lodz University

Supported by RPBP.III24.C9.
Summary.

The article contains exactly the same definitions of group and field
as those in [4].
These definitions were prepared without the help of the
definitions and properties of {\it Nat} and {\it Real} modes included
in the MML.
This is the first of a series of articles in which we are going to
introduce the concept of the set of real numbers in a elementary
axiomatic way.
The terminology and notation used in this paper have been
introduced in the following articles
[6]
[3]
[8]
[9]
[1]
[2]
[7]
[5]
Contents (PDF format)
Bibliography
 [1]
Czeslaw Bylinski.
Functions and their basic properties.
Journal of Formalized Mathematics,
1, 1989.
 [2]
Czeslaw Bylinski.
Functions from a set to a set.
Journal of Formalized Mathematics,
1, 1989.
 [3]
Czeslaw Bylinski.
Some basic properties of sets.
Journal of Formalized Mathematics,
1, 1989.
 [4]
Jean Dieudonne.
\em Foundations of Modern Analysis.
Academic Press, New York and London, 1960.
 [5]
Eugeniusz Kusak, Wojciech Leonczuk, and Michal Muzalewski.
Abelian groups, fields and vector spaces.
Journal of Formalized Mathematics,
1, 1989.
 [6]
Andrzej Trybulec.
Tarski Grothendieck set theory.
Journal of Formalized Mathematics,
Axiomatics, 1989.
 [7]
Wojciech A. Trybulec.
Vectors in real linear space.
Journal of Formalized Mathematics,
1, 1989.
 [8]
Zinaida Trybulec.
Properties of subsets.
Journal of Formalized Mathematics,
1, 1989.
 [9]
Edmund Woronowicz.
Relations and their basic properties.
Journal of Formalized Mathematics,
1, 1989.
Received October 27, 1989
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