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.III-24.C1.


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.

MML Identifier: RELSET_1

The terminology and notation used in this paper have been introduced in the following articles [2] [1] [3] [4]

Contents (PDF format)


[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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