Journal of Formalized Mathematics
Volume 7, 1995
University of Bialystok
Copyright (c) 1995 Association of Mizar Users

Certain Facts about Families of Subsets of Many Sorted Sets


Artur Kornilowicz
Institute of Mathematics, Warsaw University, Bialystok

MML Identifier: MSSUBFAM

The terminology and notation used in this paper have been introduced in the following articles [18] [5] [21] [16] [22] [3] [1] [4] [7] [6] [19] [20] [2] [12] [13] [14] [8] [15] [10] [17] [9] [11]

Contents (PDF format)

  1. Preliminaries
  2. Finite Many Sorted Sets
  3. A Family of Subsets of Many Sorted Sets
  4. Intersection of a Family of Many Sorted Sets

Bibliography

[1] Grzegorz Bancerek. The ordinal numbers. Journal of Formalized Mathematics, 1, 1989.
[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. Some basic properties of sets. Journal of Formalized Mathematics, 1, 1989.
[6] 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.
[7] Agata Darmochwal. Finite sets. Journal of Formalized Mathematics, 1, 1989.
[8] Artur Kornilowicz. On the group of automorphisms of universal algebra and many sorted algebra. Journal of Formalized Mathematics, 6, 1994.
[9] Artur Kornilowicz. Definitions and basic properties of boolean and union of many sorted sets. Journal of Formalized Mathematics, 7, 1995.
[10] Artur Kornilowicz. Extensions of mappings on generator set. Journal of Formalized Mathematics, 7, 1995.
[11] Artur Kornilowicz. Some basic properties of many sorted sets. Journal of Formalized Mathematics, 7, 1995.
[12] Malgorzata Korolkiewicz. Homomorphisms of many sorted algebras. Journal of Formalized Mathematics, 6, 1994.
[13] Beata Madras. Product of family of universal algebras. Journal of Formalized Mathematics, 5, 1993.
[14] Beata Madras. Products of many sorted algebras. Journal of Formalized Mathematics, 6, 1994.
[15] Yatsuka Nakamura, Piotr Rudnicki, Andrzej Trybulec, and Pauline N. Kawamoto. Preliminaries to circuits, I. Journal of Formalized Mathematics, 6, 1994.
[16] Beata Padlewska. Families of sets. Journal of Formalized Mathematics, 1, 1989.
[17] Alexander Yu. Shibakov and Andrzej Trybulec. The Cantor set. Journal of Formalized Mathematics, 7, 1995.
[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] Andrzej Trybulec. Many sorted algebras. Journal of Formalized Mathematics, 6, 1994.
[21] Zinaida Trybulec. Properties of subsets. Journal of Formalized Mathematics, 1, 1989.
[22] Edmund Woronowicz. Relations and their basic properties. Journal of Formalized Mathematics, 1, 1989.

Received October 27, 1995

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