Journal of Formalized Mathematics
Volume 1, 1989
University of Bialystok
Copyright (c) 1989
Association of Mizar Users
The Well Ordering Relations

Grzegorz Bancerek

Warsaw University, Bialystok

Supported by RPBP.III24.C1.
Summary.

Some theorems about well ordering relations are proved. The goal
of the article is to prove that every two well
ordering relations are either isomorphic or one of them is isomorphic
to a segment of the other.
The following concepts are defined: the segment of a relation
induced by an element, well founded relations, well ordering
relations, the restriction of a relation to a set, and the isomorphism
of two relations.
A number of simple facts is presented.
The terminology and notation used in this paper have been
introduced in the following articles
[3]
[2]
[4]
[5]
[1]
Contents (PDF format)
Bibliography
 [1]
Czeslaw Bylinski.
Functions and their basic properties.
Journal of Formalized Mathematics,
1, 1989.
 [2]
Czeslaw Bylinski.
Some basic properties of sets.
Journal of Formalized Mathematics,
1, 1989.
 [3]
Andrzej Trybulec.
Tarski Grothendieck set theory.
Journal of Formalized Mathematics,
Axiomatics, 1989.
 [4]
Edmund Woronowicz.
Relations and their basic properties.
Journal of Formalized Mathematics,
1, 1989.
 [5]
Edmund Woronowicz and Anna Zalewska.
Properties of binary relations.
Journal of Formalized Mathematics,
1, 1989.
Received April 4, 1989
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