Volume 8, 1996

University of Bialystok

Copyright (c) 1996 Association of Mizar Users

**Robert Milewski**- Warsaw University, Bialystok

- Lattice of Many Sorted Equivalence Relations is Complete
- Sublattices inheriting SUP's and INF's
- Segment of Real Numbers as a Complete Lattice

- [1]
Grzegorz Bancerek.
Complete lattices.
*Journal of Formalized Mathematics*, 4, 1992. - [2]
Ewa Burakowska.
Subalgebras of many sorted algebra. Lattice of subalgebras.
*Journal of Formalized Mathematics*, 6, 1994. - [3]
Czeslaw Bylinski.
Functions and their basic properties.
*Journal of Formalized Mathematics*, 1, 1989. - [4]
Czeslaw Bylinski.
Functions from a set to a set.
*Journal of Formalized Mathematics*, 1, 1989. - [5]
Czeslaw Bylinski.
Partial functions.
*Journal of Formalized Mathematics*, 1, 1989. - [6]
Czeslaw Bylinski.
Some basic properties of sets.
*Journal of Formalized Mathematics*, 1, 1989. - [7]
Marek Chmur.
The lattice of real numbers. The lattice of real functions.
*Journal of Formalized Mathematics*, 2, 1990. - [8]
Marek Chmur.
The lattice of natural numbers and the sublattice of it. The set of prime numbers.
*Journal of Formalized Mathematics*, 3, 1991. - [9]
Artur Kornilowicz.
Certain facts about families of subsets of many sorted sets.
*Journal of Formalized Mathematics*, 7, 1995. - [10]
Artur Kornilowicz.
On the closure operator and the closure system of many sorted sets.
*Journal of Formalized Mathematics*, 8, 1996. - [11]
Malgorzata Korolkiewicz.
Homomorphisms of many sorted algebras.
*Journal of Formalized Mathematics*, 6, 1994. - [12]
Malgorzata Korolkiewicz.
Many sorted quotient algebra.
*Journal of Formalized Mathematics*, 6, 1994. - [13]
Beata Madras.
Products of many sorted algebras.
*Journal of Formalized Mathematics*, 6, 1994. - [14]
Robert Milewski.
Lattice of congruences in many sorted algebra.
*Journal of Formalized Mathematics*, 8, 1996. - [15]
Beata Padlewska.
Families of sets.
*Journal of Formalized Mathematics*, 1, 1989. - [16]
Konrad Raczkowski and Pawel Sadowski.
Equivalence relations and classes of abstraction.
*Journal of Formalized Mathematics*, 1, 1989. - [17]
Konrad Raczkowski and Pawel Sadowski.
Topological properties of subsets in real numbers.
*Journal of Formalized Mathematics*, 2, 1990. - [18]
Andrzej Trybulec.
Tarski Grothendieck set theory.
*Journal of Formalized Mathematics*, Axiomatics, 1989. - [19]
Andrzej Trybulec.
Many-sorted sets.
*Journal of Formalized Mathematics*, 5, 1993. - [20]
Zinaida Trybulec.
Properties of subsets.
*Journal of Formalized Mathematics*, 1, 1989. - [21]
Edmund Woronowicz.
Relations defined on sets.
*Journal of Formalized Mathematics*, 1, 1989. - [22]
Stanislaw Zukowski.
Introduction to lattice theory.
*Journal of Formalized Mathematics*, 1, 1989.

[ Download a postscript version, MML identifier index, Mizar home page]