Journal of Formalized Mathematics
Volume 12, 2000
University of Bialystok
Copyright (c) 2000
Association of Mizar Users
LimInf Convergence

Bartlomiej Skorulski

University of Bialystok
Summary.

This work continues the formalization of [8]. Theorems from
Chapter III, Section 3, pp. 158159 are proved.
This work has been supported by KBN Grant 8 T11C 018 12.
The terminology and notation used in this paper have been
introduced in the following articles
[13]
[7]
[17]
[18]
[19]
[5]
[6]
[11]
[12]
[16]
[1]
[2]
[3]
[4]
[14]
[10]
[15]
[9]
Contents (PDF format)
Bibliography
 [1]
Grzegorz Bancerek.
Complete lattices.
Journal of Formalized Mathematics,
4, 1992.
 [2]
Grzegorz Bancerek.
Bounds in posets and relational substructures.
Journal of Formalized Mathematics,
8, 1996.
 [3]
Grzegorz Bancerek.
Directed sets, nets, ideals, filters, and maps.
Journal of Formalized Mathematics,
8, 1996.
 [4]
Grzegorz Bancerek.
The ``waybelow'' relation.
Journal of Formalized Mathematics,
8, 1996.
 [5]
Czeslaw Bylinski.
Functions and their basic properties.
Journal of Formalized Mathematics,
1, 1989.
 [6]
Czeslaw Bylinski.
Functions from a set to a set.
Journal of Formalized Mathematics,
1, 1989.
 [7]
Czeslaw Bylinski.
Some basic properties of sets.
Journal of Formalized Mathematics,
1, 1989.
 [8]
G. Gierz, K.H. Hofmann, K. Keimel, J.D. Lawson, M. Mislove, and D.S. Scott.
\em A Compendium of Continuous Lattices.
SpringerVerlag, Berlin, Heidelberg, New York, 1980.
 [9]
Adam Grabowski.
Scottcontinuous functions.
Journal of Formalized Mathematics,
10, 1998.
 [10]
Artur Kornilowicz.
On the topological properties of meetcontinuous lattices.
Journal of Formalized Mathematics,
8, 1996.
 [11]
Michal Muzalewski.
Categories of groups.
Journal of Formalized Mathematics,
3, 1991.
 [12]
Beata Padlewska and Agata Darmochwal.
Topological spaces and continuous functions.
Journal of Formalized Mathematics,
1, 1989.
 [13]
Andrzej Trybulec.
Tarski Grothendieck set theory.
Journal of Formalized Mathematics,
Axiomatics, 1989.
 [14]
Andrzej Trybulec.
MooreSmith convergence.
Journal of Formalized Mathematics,
8, 1996.
 [15]
Andrzej Trybulec.
Scott topology.
Journal of Formalized Mathematics,
9, 1997.
 [16]
Wojciech A. Trybulec.
Partially ordered sets.
Journal of Formalized Mathematics,
1, 1989.
 [17]
Zinaida Trybulec.
Properties of subsets.
Journal of Formalized Mathematics,
1, 1989.
 [18]
Edmund Woronowicz.
Relations and their basic properties.
Journal of Formalized Mathematics,
1, 1989.
 [19]
Edmund Woronowicz.
Relations defined on sets.
Journal of Formalized Mathematics,
1, 1989.
Received January 6, 2000
[
Download a postscript version,
MML identifier index,
Mizar home page]