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

Relations of Tolerance


Krzysztof Hryniewiecki
Warsaw University

Summary.

Introduces notions of relations of tolerance, tolerance set and neighbourhood of an element. The basic properties of relations of tolerance are proved.

Supported by Philippe le Hodey Foundation. This work had been done on Mizar Workshop '89 (Foudrain, France) in Summer '89.

MML Identifier: TOLER_1

The terminology and notation used in this paper have been introduced in the following articles [5] [3] [6] [7] [8] [9] [2] [1] [4]

Contents (PDF format)

Bibliography

[1] Grzegorz Bancerek. The well ordering relations. Journal of Formalized Mathematics, 1, 1989.
[2] Czeslaw Bylinski. Partial functions. Journal of Formalized Mathematics, 1, 1989.
[3] Czeslaw Bylinski. Some basic properties of sets. Journal of Formalized Mathematics, 1, 1989.
[4] Konrad Raczkowski and Pawel Sadowski. Equivalence relations and classes of abstraction. Journal of Formalized Mathematics, 1, 1989.
[5] Andrzej Trybulec. Tarski Grothendieck set theory. Journal of Formalized Mathematics, Axiomatics, 1989.
[6] Zinaida Trybulec. Properties of subsets. Journal of Formalized Mathematics, 1, 1989.
[7] Edmund Woronowicz. Relations and their basic properties. Journal of Formalized Mathematics, 1, 1989.
[8] Edmund Woronowicz. Relations defined on sets. Journal of Formalized Mathematics, 1, 1989.
[9] Edmund Woronowicz and Anna Zalewska. Properties of binary relations. Journal of Formalized Mathematics, 1, 1989.

Received September 20, 1990


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