Journal of Formalized Mathematics
Volume 5, 1993
University of Bialystok
Copyright (c) 1993 Association of Mizar Users

Introduction to Theory of Rearrangement


Yuji Sakai
Shinshu University, Nagano
Jaroslaw Kotowicz
Warsaw University, Bialystok

Summary.

An introduction to the rearrangement theory for finite functions (e.g. with the finite domain and codomain). The notion of generators and cogenerators of finite sets (equivalent to the order in the language of finite sequences) has been defined. The notion of rearrangement for a function into finite set is presented. Some basic properties of these notions have been proved.

Dedicated to Professor Tsuyoshi Ando on his sixtieth birthday.

MML Identifier: REARRAN1

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

Contents (PDF format)

Bibliography

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[20] Edmund Woronowicz. Relations and their basic properties. Journal of Formalized Mathematics, 1, 1989.
[21] Edmund Woronowicz. Relations defined on sets. Journal of Formalized Mathematics, 1, 1989.

Received May 22, 1993


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