Journal of Formalized Mathematics
Volume 1, 1989
University of Bialystok
Copyright (c) 1989
Association of Mizar Users
Midpoint algebras
-
Michal Muzalewski
-
Warsaw University, Bialystok
-
Supported by RPBP.III-24.C6.
Summary.
-
In this article basic properties of midpoint algebras
are proved. We define a congruence relation $\equiv$ on bound vectors
and free vectors as the equivalence classes of $\equiv$.
MML Identifier:
MIDSP_1
The terminology and notation used in this paper have been
introduced in the following articles
[5]
[4]
[8]
[1]
[7]
[6]
[2]
[3]
Contents (PDF format)
Bibliography
- [1]
Czeslaw Bylinski.
Binary operations.
Journal of Formalized Mathematics,
1, 1989.
- [2]
Czeslaw Bylinski.
Functions and their basic properties.
Journal of Formalized Mathematics,
1, 1989.
- [3]
Czeslaw Bylinski.
Functions from a set to a set.
Journal of Formalized Mathematics,
1, 1989.
- [4]
Czeslaw Bylinski.
Some basic properties of sets.
Journal of Formalized Mathematics,
1, 1989.
- [5]
Andrzej Trybulec.
Tarski Grothendieck set theory.
Journal of Formalized Mathematics,
Axiomatics, 1989.
- [6]
Andrzej Trybulec.
Tuples, projections and Cartesian products.
Journal of Formalized Mathematics,
1, 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.
Received November 26, 1989
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