Journal of Formalized Mathematics
Volume 10, 1998
University of Bialystok
Copyright (c) 1998 Association of Mizar Users

The Product of the Families of the Groups


Artur Kornilowicz
University of Bialystok

MML Identifier: GROUP_7

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

Contents (PDF format)

  1. Preliminaries
  2. The Product of the Families of the Groups
  3. The Product of One, Two and Three Groups

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. Partial functions. Journal of Formalized Mathematics, 1, 1989.
[7] Czeslaw Bylinski. Some basic properties of sets. Journal of Formalized Mathematics, 1, 1989.
[8] 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.
[9] Agata Darmochwal. Finite sets. Journal of Formalized Mathematics, 1, 1989.
[10] Eugeniusz Kusak, Wojciech Leonczuk, and Michal Muzalewski. Abelian groups, fields and vector spaces. Journal of Formalized Mathematics, 1, 1989.
[11] Beata Madras. Product of family of universal algebras. Journal of Formalized Mathematics, 5, 1993.
[12] Beata Madras. Products of many sorted algebras. Journal of Formalized Mathematics, 6, 1994.
[13] Andrzej Trybulec. Enumerated sets. Journal of Formalized Mathematics, 1, 1989.
[14] Andrzej Trybulec. Tarski Grothendieck set theory. Journal of Formalized Mathematics, Axiomatics, 1989.
[15] Andrzej Trybulec. Many-sorted sets. Journal of Formalized Mathematics, 5, 1993.
[16] Wojciech A. Trybulec. Groups. Journal of Formalized Mathematics, 2, 1990.
[17] Wojciech A. Trybulec. Subgroup and cosets of subgroups. Journal of Formalized Mathematics, 2, 1990.
[18] Wojciech A. Trybulec and Michal J. Trybulec. Homomorphisms and isomorphisms of groups. Quotient group. Journal of Formalized Mathematics, 3, 1991.
[19] Zinaida Trybulec. Properties of subsets. Journal of Formalized Mathematics, 1, 1989.
[20] Edmund Woronowicz. Relations and their basic properties. Journal of Formalized Mathematics, 1, 1989.

Received June 10, 1998

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