Journal of Formalized Mathematics
Volume 1, 1989
University of Bialystok
Copyright (c) 1989
Association of Mizar Users
Relations Defined on Sets

Edmund Woronowicz

Warsaw University, Bialystok

Supported by RPBP.III24.C1.
Summary.

The article includes theorems concerning properties of
relations defined as a subset of the Cartesian product of two sets
(mode Relation of $X$,$Y$ where $X$,$Y$ are sets). Some notions,
introduced in [4]
such as domain, codomain, field of a relation,
composition of relations, image and inverse image of a set under a relation
are redefined.
The terminology and notation used in this paper have been
introduced in the following articles
[2]
[1]
[3]
[4]
Contents (PDF format)
Bibliography
 [1]
Czeslaw Bylinski.
Some basic properties of sets.
Journal of Formalized Mathematics,
1, 1989.
 [2]
Andrzej Trybulec.
Tarski Grothendieck set theory.
Journal of Formalized Mathematics,
Axiomatics, 1989.
 [3]
Zinaida Trybulec.
Properties of subsets.
Journal of Formalized Mathematics,
1, 1989.
 [4]
Edmund Woronowicz.
Relations and their basic properties.
Journal of Formalized Mathematics,
1, 1989.
Received April 14, 1989
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