Relations Defined on Sets

Edmund Woronowicz

Warsaw University, Bialystok

Supported by RPBP.III-24.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.

MML Identifier: RELSET_1

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.