Journal of Formalized Mathematics
Volume 7, 1995
University of Bialystok
Copyright (c) 1995
Association of Mizar Users
Some Basic Properties of Many Sorted Sets
-
Artur Kornilowicz
-
Institute of Mathematics, Warsaw University, Bialystok
The terminology and notation used in this paper have been
introduced in the following articles
[8]
[2]
[10]
[1]
[4]
[5]
[3]
[9]
[7]
[6]
-
Preliminaries
-
Singleton and unordered pairs
-
Sum of unordered pairs (or a singleton) and a set
-
Intersection of unordered pairs (or a singleton) and a set
-
Difference of unordered pairs (or a singleton) and a set
-
Cartesian product
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]
Czeslaw Bylinski.
A classical first order language.
Journal of Formalized Mathematics,
2, 1990.
- [4]
Czeslaw Bylinski.
The modification of a function by a function and the iteration of the composition of a function.
Journal of Formalized Mathematics,
2, 1990.
- [5]
Agata Darmochwal.
Finite sets.
Journal of Formalized Mathematics,
1, 1989.
- [6]
Artur Kornilowicz.
Definitions and basic properties of boolean and union of many sorted sets.
Journal of Formalized Mathematics,
7, 1995.
- [7]
Beata Madras.
Products of many sorted algebras.
Journal of Formalized Mathematics,
6, 1994.
- [8]
Andrzej Trybulec.
Tarski Grothendieck set theory.
Journal of Formalized Mathematics,
Axiomatics, 1989.
- [9]
Andrzej Trybulec.
Many-sorted sets.
Journal of Formalized Mathematics,
5, 1993.
- [10]
Edmund Woronowicz.
Relations and their basic properties.
Journal of Formalized Mathematics,
1, 1989.
Received September 29, 1995
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