Journal of Formalized Mathematics
Volume 2, 1990
University of Bialystok
Copyright (c) 1990
Association of Mizar Users
On Pseudometric Spaces

Adam Lecko

Technical University of Rzeszow

Mariusz Startek

Technical University of Rzeszow
Summary.

We introduce the equivalence classes in a pseudometric space. Next we
prove that the set of the equivalence classes forms the metric space with
the special metric defined in the article.
Supported by RPBP.III24.B3.
The terminology and notation used in this paper have been
introduced in the following articles
[5]
[2]
[8]
[7]
[4]
[1]
[3]
[6]
Contents (PDF format)
Bibliography
 [1]
Czeslaw Bylinski.
Functions from a set to a set.
Journal of Formalized Mathematics,
1, 1989.
 [2]
Czeslaw Bylinski.
Some basic properties of sets.
Journal of Formalized Mathematics,
1, 1989.
 [3]
Stanislawa Kanas, Adam Lecko, and Mariusz Startek.
Metric spaces.
Journal of Formalized Mathematics,
2, 1990.
 [4]
Andrzej Trybulec.
Domains and their Cartesian products.
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]
Andrzej Trybulec.
Subsets of real numbers.
Journal of Formalized Mathematics,
Addenda, 2003.
 [8]
Zinaida Trybulec.
Properties of subsets.
Journal of Formalized Mathematics,
1, 1989.
Received September 28, 1990
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