Journal of Formalized Mathematics
Volume 6, 1994
University of Bialystok
Copyright (c) 1994
Association of Mizar Users
Subalgebras of Many Sorted Algebra.
Lattice of Subalgebras

Ewa Burakowska

Warsaw University, Bialystok
The terminology and notation used in this paper have been
introduced in the following articles
[10]
[6]
[13]
[14]
[4]
[5]
[2]
[9]
[7]
[15]
[3]
[8]
[1]
[11]
[12]

Auxiliary Facts about Many Sorted Sets

Constants of a Many Sorted Algebra

Subalgebras of a Many Sorted Algebra

Many Sorted Subsets of Many Sorted Algebra

Operations on Many Sorted Algebra and its Subalgebras

Lattice of Subalgebras of Many Sorted Algebra
Bibliography
 [1]
Grzegorz Bancerek.
K\"onig's theorem.
Journal of Formalized Mathematics,
2, 1990.
 [2]
Grzegorz Bancerek and Krzysztof Hryniewiecki.
Segments of natural numbers and finite sequences.
Journal of Formalized Mathematics,
1, 1989.
 [3]
Czeslaw Bylinski.
Binary operations.
Journal of Formalized Mathematics,
1, 1989.
 [4]
Czeslaw Bylinski.
Functions and their basic properties.
Journal of Formalized Mathematics,
1, 1989.
 [5]
Czeslaw Bylinski.
Functions from a set to a set.
Journal of Formalized Mathematics,
1, 1989.
 [6]
Czeslaw Bylinski.
Some basic properties of sets.
Journal of Formalized Mathematics,
1, 1989.
 [7]
Czeslaw Bylinski.
Finite sequences and tuples of elements of a nonempty sets.
Journal of Formalized Mathematics,
2, 1990.
 [8]
Andrzej Nedzusiak.
$\sigma$fields and probability.
Journal of Formalized Mathematics,
1, 1989.
 [9]
Beata Padlewska.
Families of sets.
Journal of Formalized Mathematics,
1, 1989.
 [10]
Andrzej Trybulec.
Tarski Grothendieck set theory.
Journal of Formalized Mathematics,
Axiomatics, 1989.
 [11]
Andrzej Trybulec.
Manysorted sets.
Journal of Formalized Mathematics,
5, 1993.
 [12]
Andrzej Trybulec.
Many sorted algebras.
Journal of Formalized Mathematics,
6, 1994.
 [13]
Zinaida Trybulec.
Properties of subsets.
Journal of Formalized Mathematics,
1, 1989.
 [14]
Edmund Woronowicz.
Relations and their basic properties.
Journal of Formalized Mathematics,
1, 1989.
 [15]
Stanislaw Zukowski.
Introduction to lattice theory.
Journal of Formalized Mathematics,
1, 1989.
Received April 25, 1994
[
Download a postscript version,
MML identifier index,
Mizar home page]