Journal of Formalized Mathematics
Volume 8, 1996
University of Bialystok
Copyright (c) 1996
Association of Mizar Users
Bounds in Posets and Relational Substructures
-
Grzegorz Bancerek
-
Institute of Mathematics, Polish Academy of Sciences
Summary.
-
Notation and facts necessary to start with
the formalization of continuous lattices according to [4]
are introduced.
This work was partially supported by
Office of Naval Research Grant N00014-95-1-1336.
The terminology and notation used in this paper have been
introduced in the following articles
[6]
[2]
[8]
[10]
[9]
[3]
[5]
[11]
[7]
[1]
-
Reexamination of poset concepts
-
Least upper and greatest lower bounds
-
Relational substructures
Bibliography
- [1]
Grzegorz Bancerek.
Complete lattices.
Journal of Formalized Mathematics,
4, 1992.
- [2]
Czeslaw Bylinski.
Some basic properties of sets.
Journal of Formalized Mathematics,
1, 1989.
- [3]
Agata Darmochwal.
Finite sets.
Journal of Formalized Mathematics,
1, 1989.
- [4]
G. Gierz, K.H. Hofmann, K. Keimel, J.D. Lawson, M. Mislove, and D.S. Scott.
\em A Compendium of Continuous Lattices.
Springer-Verlag, Berlin, Heidelberg, New York, 1980.
- [5]
Krzysztof Hryniewiecki.
Relations of tolerance.
Journal of Formalized Mathematics,
2, 1990.
- [6]
Andrzej Trybulec.
Tarski Grothendieck set theory.
Journal of Formalized Mathematics,
Axiomatics, 1989.
- [7]
Wojciech A. Trybulec.
Partially ordered sets.
Journal of Formalized Mathematics,
1, 1989.
- [8]
Zinaida Trybulec.
Properties of subsets.
Journal of Formalized Mathematics,
1, 1989.
- [9]
Edmund Woronowicz.
Relations defined on sets.
Journal of Formalized Mathematics,
1, 1989.
- [10]
Edmund Woronowicz and Anna Zalewska.
Properties of binary relations.
Journal of Formalized Mathematics,
1, 1989.
- [11]
Stanislaw Zukowski.
Introduction to lattice theory.
Journal of Formalized Mathematics,
1, 1989.
Received September 10, 1996
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